Publications on and with deal.II

Our institutes are evaluated at regular intervals. Consequently, we are interested in documenting the use of the programs and libraries we create. To this end, this page collects publications written on or with the help of deal.II. If you have written something, please let us know about it: the more comprehensive this list is, the simpler it is for us to justify to our departments and sponsors the effort we put into the library — something that helps all of us in the end.

Table of contents
  1. Referencing deal.II
  2. Publications on details of deal.II
  3. Publications per year:
    2010 2011 2012 2013 2014
    2000 2001 2002 2003 2004 2005 2006 2007 2008 2009
    1998 1999

Referencing deal.II

If you write a paper using results obtained with the help of deal.II, please cite one or both of the following references:

  1. Wolfgang Bangerth, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, and Toby D. Young
    The deal.II Library, Version 8.1
    arxiv:1312.2266v4, 2013.
    @article{dealII81,
      title = {The {\tt deal.{I}{I}} Library, Version 8.1},
      author = {W. Bangerth and T. Heister and L. Heltai and G. Kanschat
       and M. Kronbichler and M. Maier and B. Turcksin and T. D. Young},
      journal = {arXiv preprint \url{http://arxiv.org/abs/1312.2266v4}},
      year = {2013},
    }
    
  2. W. Bangerth, R. Hartmann and G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24
    DOI 10.1145/1268776.1268779 (Preprint)
    @Article{BangerthHartmannKanschat2007,
      author =  {W. Bangerth and R. Hartmann and G. Kanschat},
      title =   {{deal.II} -- a General Purpose Object Oriented Finite Element Library},
      journal = {ACM Trans. Math. Softw.},
      year =    2007,
      volume =  33,
      number =  4,
      pages =   {24/1--24/27}
    }
    

For your convenience, we provide a BibTeX file with entries for the publications in this section.

Older Releases

  1. Wolfgang Bangerth, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, and Toby D. Young
    The deal.II Library, Version 8.0
    arxiv:1312.2266v3, 2013.
    @article{dealII80,
      title = {The {\tt deal.{I}{I}} Library, Version 8.0},
      author = {W. Bangerth and T. Heister and L. Heltai and G. Kanschat
       and M. Kronbichler and M. Maier and B. Turcksin and T. D. Young},
      journal = {arXiv preprint \url{http://arxiv.org/abs/1312.2266v3}},
      year = {2013},
    }
    

Publications on details of deal.II

The following publications explain in great detail the implementation of algorithms and data structures of the hp, multigrid, distributed mesh, and matrix-free components of deal.II:

  1. B. Janssen, G. Kanschat,
    Adaptive Multilevel Methods with Local Smoothing for H1- and Hcurl-Conforming High Order Finite Element Methods
    SIAM J. Sci. Comput., vol. 33/4, pp. 2095-2114, 2011
    DOI: 10.1137/090778523
  2. W. Bangerth, C. Burstedde, T. Heister, M. Kronbichler
    Algorithms and Data Structures for Massively Parallel Generic Finite Element Codes
    ACM Trans. Math. Softw., vol. 38, pp. 14/1-28, 2011.
    DOI: 10.1145/2049673.2049678
  3. W. Bangerth, O. Kayser-Herold,
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009
  4. G. Kanschat
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct., vol. 82, pp. 2437-2445, 2004
  5. M. Kronbichler, K. Kormann
    A generic interface for parallel cell-based finite element operator application
    Computers and Fluids, vol. 63, pp. 135-147, 2012
    DOI: 10.1016/j.compfluid.2012.04.012
  6. W. Bangerth, T. Heister
    What makes computational open source software libraries successful?
    Computational Science & Discovery, vol. 6, article 015010, 2013.

For massively parallel computations, deal.II builds on the p4est library. If you use this functionality, please also cite the p4est paper listed at their website.

deal.II is a component of the SPEC CPU2006 benchmark suite. There are hundreds of papers that use and describe this testsuite as a reference for compiler and hardware optimizations. The following special issue gives a detailed comparison with respect to many different metrics of the benchmarks in SPEC CPU2006, including deal.II:

Publications in 2014

  1. J. H. Adler, T. J. Atherton, D. B. Emerson, S. P. MacLachlan
    An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals: Continuum and Discrete Analysis
    arXiv:1402.3310, 2014.
  2. H. Antil, R. H. Nochetto, P. Sodré
    Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis
    arXiv:1402.5709, 2014.
  3. A. Bertei, C.-C. Chueh, J. Pharoah, C. Nicolella
    Modified Collective Rearrangement Sphere-assembly Algorithm for Random Packings of Nonspherical Particles: Towards Engineering Applications
    Powder Technology, vol. 253, pp. 311-324, 2014.
  4. J. Bosch, D. Kay, M. Stoll, A. J. Wathen
    Fast solvers for Cahn-Hilliard inpainting
    SIAM Journal on Imaging Science, vol. 7, pp. 67-97, 2014.
  5. J. Bosch, M. Stoll, P. Benner
    Fast solution of Cahn-Hilliard variational inequalities using implicit time discretizations and finite elements
    Journal of Computational Physics, vol. 262, pp. 38-57, 2014.
  6. A. Cangiani, E. Georgoulis, S. Metcalfe

    IMA Journal of Numerical Analysis, in print, 2014.

  7. T. Carraro, C. Goll, A. Marciniak-Czochra, A. Mikelić
    arXiv:1401.6278, 2014.
  8. C.-C. Chueh, A. Bertei, J. Pharoah, C. Nicolella
    Effective Conductivity in Random Porous Media with Convex and Non-Convex Porosity
    International Journal of Heat and Mass Transfer, vol. 71, pp. 183-188, 2014.

  9. Y. El-Kurdi, W. J. Gross, D. Giannacopoulos Parallel Multigrid Acceleration for the Finite-Element Gaussian Belief Propagation Algorithm
    IEEE Transactions on Magnetics, vol. 50, article 7014304, 2014.
  10. R. R. Fu, B. H. Hager, A. I. Ermakov, M. T. Zuber
    Efficient early global relaxation of asteroid Vesta
    Icarus, in print, 2014.
  11. A. Giavaras, E. Boateng
    Transient filling modelling at meso-level for RTM process using a single phase LSM
    International Journal of Material Forming, in press, 2014.
  12. N. Gupta, N. Nataraj
    A posteriori error estimates for an optimal control problem of laser surface hardening of steel
    Mathematics and Computers in Simulation, in press, 2014.
  13. S. Härting, A. Marciniak-Czochra
    Spike patterns in a reaction-diffusion-ode model with Turing instability
    Mathematical Methods in the Applied Sciences, in print, 2014.
  14. M. Hintermüller, A. Schiela, W. Wollner
    The length of the primal-dual path in Moreau-Yosida-based path-following for state constrained optimal control
    SIAM J. Optim., vol. 24, pp. 108-126, 2014.
  15. S. Kim
    Cartesian PML approximation to resonances in open systems in R2
    Applied Numerical Mathematics, vol. 81, pp. 50-75, 2014.
  16. S. Kim
    Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 410, pp. 275-291, 2014.
  17. U. Köcher, M. Bause
    Variational Space-Time Methods for the Wave Equation
    Journal of Scientific Computing, in print, 2014.
  18. K. Kunisch, A. Rund
    Time optimal control of the monodomain model in cardiac electrophysiology
    preprint, 2014.

  19. A. Mola, L. Heltai, A. DeSimone A fully nonlinear potential model for ship hydrodynamics directly interfaced with CAD data structures
    SISSA Digital Library, Preprint 2014-03, 2014.

  20. N. Nama, P.-H. Huang, T. J. Huang, F. Costanzo Investigation of acoustic streaming patterns around oscillating sharp edges
    arXiv:1402.4152, 2014.
  21. R. H. Nochetto, A. Salgado, S. W. Walker
    A diffuse interface model for electrowetting with moving contact lines
    Mathematical Models and Methods in Applied Sciences, vol. 24, article 67, 2014.
  22. J. Pearson, M. Stoll, A. Wathen
    Preconditioners for state‐constrained optimal control problems with Moreau–Yosida penalty function
    Numerical Linear Algebra, vol. 21, pp. 81-97, 2014.
  23. J.-P. V. Pelteret, B. D. Reddy
    Development of a computational biomechanical model of the human upper-airway soft-tissues toward simulating obstructive sleep apnea
    Clinical Anatomy, vol. 27, pp. 182-200, 2014.
  24. T. Povall, A. T. McBride, B. D. Reddy
    Finite element simulation of large-strain single-crystal viscoplasticity: An investigation of various hardening relations
    Computational Materials Science, vol. 81, pp. 386-396, 2014.
  25. J. Reinhardt, A. Scacchi, J. M. Bader
    Microrheology close to an equilibrium phase transition
    J. Chem. Phys., vol. 140, article 144901, 2014.
  26. D. Schötzau, C. Schwab, T. Wihler, M. Wirz
    Exponential Convergence of hp-DGFEM for Elliptic Problems in Polyhedral Domains
    Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012. Lecture Notes in Computational Science and Engineering Volume 95, pp 57-73 , 2014.
  27. M. Stoll
    One-shot solution of a time-dependent time-periodic PDE-constrained optimization problem
    IMA Journal of Numerical Analysis, in print, 2014.
  28. M. Stoll, J. Pearson, P. K. Maini
    Fast solvers for optimal control problems from pattern formation
    preprint, 2014.

  29. S. Tirupathi, J. S. Hesthaven, Y. Liang Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method
    Infoscience, article 197481, 2014.
  30. J. Vuong, B. Simeon
    On finite element method–flux corrected transport stabilization for advection–diffusion problems in a partial differential–algebraic framework
    Journal of Computational and Applied Mathematics, vol. 262, pp. 115-126, 2014.
  31. M. F. Wheeler, T. Wick, W. Wollner
    An Augmented-Lagrangian Method for the Phase-Field Approach for Pressurized Fractures
    Comput. Methods Appl. Mech. Engrg., vol. 271, pp. 69-85, 2014.
  32. T. Wick, G. Singh, M.F. Wheeler
    Pressurized-Fracture propagation using a phase-field approach coupled to a reservoir simulator
    SPE 168597-MS, SPE HFTC Proc., 2014.
  33. J. Willems
    Robust Multilevel Methods for General Symmetric Positive Definite Operators
    SIAM J. Numer. Anal. 52 (2014), no. 1, 103-124, 2014.
  34. F. Wang
    Regularizing Inverse Problems
    Ph.D. thesis, Texas A&M University, 2014.
  35. K. Wang
    Parallel Markov Chain Monte Carlo Methods for Large Scale Inverse Problems
    Ph.D. thesis, Texas A&M University, 2014.
  36. J. Weinbub, K. Rupp, S. Selberherr
    Highly flexible and reusable finite element simulations with ViennaX
    Journal of Computational and Applied Mathematics, in print, 2014.
  37. S. Yoon, J. T. Chung, Y. T. Kang
    The particle hydrodynamic effect on the mass transfer in a buoyant CO2-bubble through the experimental and computational studies
    International Journal of Heat and Mass Transfer, vol. 73, pp. 399-409, 2014.
  38. Y. Zhang
    SPN Model Error and Iterative Solution Techniques
    Ph.D. thesis, Texas A&M University, 2014.

Publications in 2013

  1. M. Alexe, A. Sandu
    Space-time adaptive solution of inverse problems with the discrete adjoint method
    submitted, 2013.
  2. G. Alam
    Fast iterative solution of large scale statistical inverse problems
    Master Thesis, Stockholm University, 2013.
  3. J. C. Araujo-Cabarcas
    Numerical methods for glacial isostatic adjustment models
    MSc thesis, Uppsala University, Uppsala, Sweden, 2013.
  4. P. Argoul, G. Ruocci, F. Freddi, K. Benzarti
    An improved damage modelling to deal with the variability of fracture mechanisms in FRP reinforced concrete structures
    International Journal of Adhesion and Adhesives 45 , 7-20, 2013.
  5. D. Arndt
    Augmented Taylor-Hood Elements for Incompressible Flow
    Msc thesis, University of Göttingen, Germany, 2013.
  6. O. Axelsson, P. Boyanova, M. Kronbichler, M. Neytcheva, X. Wu
    Numerical and computational efficiency of solvers for two-phase problems
    Comput. Math. Appl., 65, 301-314, 2013.
  7. A. Barker, T. Rees, M. Stoll
    A fast solver for an H1 regularized PDE-constrained optimization problem
    submitted, 2013.
  8. W. Bangerth, T. Heister
    What makes computational open source software libraries successful?
    Computational Science & Discovery, vol. 6, article 015010, 2013.
  9. S. Bartels, R. H. Nochetto, A. J. Salgado
    A total variation diminishing interpolation operator and applications
    submitted, 2013.
  10. P. Benner, M. Stoll
    Optimal control for Allen-Cahn equations enhanced by model predictive control
    Preprint, MPI Magdeburg, 2013.
  11. A. Bonito, D. Devaud
    Adaptive Finite Element Methods for the Stokes Problems with Discontinuous Coefficients
    submitted, 2013.
  12. A. Bonito, R. DeVore, R. H. Nochetto
    Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
    SIAM J. Numer. Anal. 51 (2013), no. 6, 3106-3134.
  13. A. Bonito, R. Glowinski
    On the Nodal Set of the Eigenfunctions of the Laplace-Beltrami Operator for Bounded Surfaces in R3: A Computational Approach
    submitted, 2013.
  14. A. Bonito, J.-L. Guermond, S. Lee
    Two Modified Pressure-Correction Projection Methods for the Time-Dependent Stokes Equations
    submitted, 2013.
  15. A. Bonito, I. Kyza, R. H. Nochetto
    A dG Approach to Higher Order ALE Formulations in Time
    2012 Barrett Lectures, The IMA Volume in Mathematics and its Applications, Vol. 157, 36 pages, 2013, Springer.
  16. A. Bonito, I. Kyza, R. H. Nochetto
    Time-discrete higher order ALE formulations: A priori error analysis
    Numer. Math., 23 pages, 2013, 10.1007/s00211-013-0539-3.
  17. A. Bonito, I. Kyza, R. H. Nochetto
    Time-discrete higher order ALE formulations: Stability
    SIAM J. Numer. Anal., 51(1), 577-608, 2013.
  18. A. Bonito, J. E. Pasciak
    Numerical Approximation of Fractional Powers of Elliptic Operators
    submitted, 2013.
  19. A. Cangiani, J. Chapman, E. Georgoulis, M. Jensen
    Implementation of the Continuous-Discontinuous Galerkin Finite Element Method
    Numerical Mathematics and Advanced Applications 2011, pp. 315-322, 2013.
  20. T. Carraro, J. Joos
    Parameter estimation for a reconstructed SOFC mixed-conducting LSCF-cathode
    Model Based Parameter Estimation, H. G. Bock et al., eds., pp. 267-285, Springer, 2013.
  21. T. Carraro, C. Goll, A. Marciniak-Czochra, A. Mikelic
    Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulation
    arXiv:1301.6580v0, 2013.
  22. C.-C. Chueh, N. Djilali, W. Bangerth
    An h-adaptive Operator Splitting Method for Two-phase Flow in 3D Heterogeneous Porous Media
    SIAM Journal on Scientific Computing, vol. 35, pp. B149-175, 2013.
  23. D. Devaud
    Adaptive Methods for the Stokes System with Discontinuous Viscosities
    MSc thesis, EPFL, 2013.
  24. T. Dohnal, W. Dörfler
    Coupled Mode Equation Modeling for Out-of-Plane Gap Solitons in 2D Photonic Crystals
    Multiscale Modeling and Simulation, vol. 11, pp. 162-191, 2013.
  25. I. Donev
    Time Dependent Finite Element Simulations of a Generalized Oldroyd-B Fluid
    MSc Thesis, University of Cape Town, 2013.
  26. W. Dörfler, S. Findeisen
    Numerical optimization of a waveguide transition using finite element beam propagation
    IWRMM, Preprint 13/01, Karlsruhe Institute of Technology, 2013.
  27. K. Dugan
    Dynamic adaptive multimesh refinement for coupled physics applicable to nuclear engineering
    MSc thesis, Texas A&M University, 2013.
  28. Y. Efendiev, J. Galvis, S. Pauletti
    Multiscale finite element methods for flows on rough surfaces
    Communications in Computational Physics, accepted, 2013.
  29. E. Emmrich, A. Wróblewska-Kamińska
    Convergence of a Full Discretization of Quasi-linear Parabolic Equations in Isotropic and Anisotropic Orlicz Spaces
    SIAM Journal on Numerical Analysis, vol. 51, pp. 1163-1184, 2013.
  30. J. Fang, X. Gao, A. Zhou
    A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations
    Journal of Scientific Computing, vol. 55, pp. 432-454, 2013.
  31. T. Fankhauser, T. Wihler, M. Wirz
    The hp-adaptive FEM based on continuous Sobolev embeddings: Isotropic refinements
    Computers & Mathematics with Applications (in press), 2013.
  32. F. Freddi, G. Royer-Carfagni
    Plastic flow as an energy minimization problem. Numerical Experiments
    Journal of Elasticity, in press, 2013.
  33. S. Frei, T. Richter, T. Wick
    Eulerian Techniques for Fluid-Structure Interactions - Part I: Modeling and Simulation
    ENUMATH Proc., submitted Nov 2013.
  34. S. Frei, T. Richter, T. Wick
    Eulerian Techniques for Fluid-Structure Interactions - Part II: Applications
    ENUMATH Proc., submitted Nov 2013.
  35. A. Geringer, B. Lenhof, S. Diebels
    Macroscopic modeling of foams: an order-parameter approach vs. a micropolar model
    Technische Mechanik, vol. 33, pp. 87-96, 2013.
  36. F. Gimbel
    Modelling and numerical simulation of contact and lubrication
    PhD thesis, University of Siegen, Germany, 2013.
  37. C. Goll, R. Rannacher, W. Wollner
    Goal-Oriented Mesh Adaptation in the Space-Time Finite Element Approximation of the Black-Scholes Equation
    Journal of Computational Finance, accepted, 2013.
  38. N. Gupta, N. Nataraj
    A posteriori error estimates for an optimal control problem of laser surface hardening of steel
    Adv. Comp. Math., vol. 39, pp. 69-99, 2013.
  39. R. Hartmann
    Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow
    International Journal for Numerical Methods in Fluids, vol. 72, pp. 883-894, 2013.
  40. T. Heister, G. Rapin
    Efficient augmented Lagrangian-type preconditioning for the Oseen problem using Grad-Div stabilization
    Int. J. Num. Meth. Fluids, 71, 118–134, 2013 (DOI)
  41. M. Hinze, U. Mathes
    Model order reduction for networks of ODE and PDE systems
    System Modeling and Optimization, IFIP Advances in Information and Communication Technology Volume 391, pp 92-101, 2013.
  42. S. Joshi, J, Walton
    Reconstruction of the residual stresses in a hyperelastic body using ultrasound techniques
    International Journal on Engineering Science, vol. 70, pp. 46-72, 2013.
  43. S. Kim
    Analysis of the convected Helmholtz equation with a uniform mean flow in a waveguide with complete radiation boundary conditions
    Journal of Mathematical Analysis and Applications, in press, 2013.
  44. N. Klein
    Consistent FE-Analysis of elliptic Variational Inequalities
    PhD thesis, University of Siegen, Germany, 2013.
  45. T. Krüger
    Regularization-based fictitious domain methods
    PhD thesis, University of Siegen, Germany, 2013.
  46. K. Kumar, T. van Noorden, M. F. Wheeler, T. Wick
    An ALE-based method for reaction-induced boundary movement towards clogging
    ENUMATH Proc., submitted Nov 2013.
  47. K. Kumar, M.F. Wheeler, T. Wick
    Reactive flow reaction-induced boundary movement in a thin channel
    SIAM J. Sci. Comput. 35(6), pp. B1235-B1266, 2013
  48. B. Lenhof, A. Geringer, S. Diebels
    Macroscopic modeling of size effects in foams using an order parameter
    Generalized Continua as Models for Materials, Advanced Structured Materials, vol. 22, pp. 237-254, 2013.
  49. S. H. Lim
    Numerical Simulation of Two-phase Heat Flow and Transient Partial Melting in the Lower Crust with Adaptive Mesh Refinement
    Undergraduate honors thesis, University of Michigan, Ann Arbor, 2013.
  50. A. Mikelic, M.F. Wheeler, T. Wick
    A phase field approach to the fluid filled fracture surrounded by a poroelastic medium
    submitted, ICES preprint on http://www.ices.utexas.edu/research/reports/
  51. A. Mola, L. Heltai, A. DeSimone
    A stable and adaptive semi-Lagrangian potential model for unsteady and nonlinear ship-wave interactions
    Engineering Analysis with Boundary Elements, vol. 37, pp. 128-143, 2013.
  52. R. H. Nochetto, A. J. Salgado, I. Tomas
    The micropolar Navier-Stokes equations: A priori error analysis
    arXiv:1303.7005, submitted, 2013.
  53. M. R. Opmeer, T. Reis, W. Wollner
    Finite-Rank ADI Iteration for Operator Lyapunov Equations
    SIAM J. Control Optim., vol. 51, pp. 4084-4117, 2013.
  54. T. Povall
    Single Crystal Plasticity at Finite Strains: A Computational Investigation of Hardening Relations
    MSc Thesis, University of Cape Town, 2013.
  55. T. Reis, W. Wollner
    Iterative solution of operator Lyapunov equations arising in heat transfer
    2013 European Control Conference, Zurich Switzerland, pp. 41-46, 2013.
  56. T. Richter, T. Wick
    Solid growth and clogging in fluid-structure interaction computed in ALE and fully Eulerian coordinates
    submitted Oct 2013 (peer-reviewed journal)
  57. T. Richter, T. Wick
    On time discretizations of fluid-structure interactions
    submitted Oct 2013 (book proceedings)
  58. T. Richter, T. Wick
    Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems
    SIAM J. Sci. Comput., accepted in May, 2013.
  59. S. Roy, L. Heltai, D. Drapaca, F. Costanzo
    An immersed finite element method approach for brain biomechanics
    Mechanics of Biological Systems and Materials, Volume 5, Conference Proceedings of the Society for Experimental Mechanics Series, pp. 79-86, 2013.
  60. J. Reinhardt, F. Weysser, J. M. Brader
    Density functional approach to nonlinear rheology
    Europhysics Letters, vol. 102, article 28011, 2013.
  61. S. Rudraraju, K. L. Mills, R. Kemkemer, K. Garikipati
    Multiphysics Modeling of Reactions, Mass Transport and Mechanics of Tumor Growth
    Computer Models in Biomechanics, G. Holzapfel and E. Kuhl (eds.), Spinger Verlag, pp. 293-303, 2013.

  62. A. Sabouni, A. Venkateswaran, A. Shmuel, P. Pouliot, F. Lesage An automated technique to determine the induced current in transcranial magnetic stimulation
    Proceedings, Antennas and Propagation Society International Symposium (APSURSI), 2013 IEEE, pp. 2050-2051, 2013.
  63. M. Sagebaum, N. R. Gauger, U. Naumann, J. Lotz, K. Leppkes
    Algorithmic differentiation of a complex C++ code with underlying libraries
    Procedia Computer Science, vol. 18, pp. 208-217, 2013.
  64. A. Salgado
    A framework for the implementation of coupled multiphase flow problems using the deal.II library and its application to electrowetting
    Archive of Numerical Software, vol. 1, 2013.
  65. A. Salgado
    Convergence analysis of a fractional time-stepping technique for incompressible fluids with microstructure
    arXiv:1312.1389, 2013.
  66. P. Siehr
    Stabilisierungsmethoden für die Stokes-Gleichungen
    Bachelor thesis, University of Heidelberg, Germany, 2013.
  67. J. Stapf, C. Garbe
    Partikelbasierte Strömungsmessung unter Ausnutzung typischer Bewegungsmuster
    Proceedings, Fachtagung ``Lasermethoden in der Strömungsmesstechnik, Munich, September 3-5, 2013, C. J. Kähler, R. Hain, C. Cierpka, B. Ruck, A. Leder, D. Dopheide (eds.), article 1, 2013.
  68. M. Steigemann, B. Schramm
    Precise computation and error control of stress intensity factors and certain integral characteristics in anisotropic inhomogeneous materials
    International Journal of Fracture, vol. 182, pp. 67-91, 2013.
  69. M. Stoll, T. Breiten
    A low-rank in time approach to PDE-constrained optimization
    Max Planck Institute Magdeburg, Preprint MPIMD/13-08, 2013.
  70. N. Vakulin, R. Shaw, T. Livingston
    ELEC 490, final report: High performance computing with GPUs
    Semester project for ELEC 490, final report. Queen's University, 2013
  71. A. Vidal-Ferrandiz, R. Fayez, D. Ginestar, G. Verdú
    Solution of the Lambda modes problem of a nuclear power reactor using an h-p finite element method
    Conference abstract, Mathematical Modelling in Engineering & Human Behaviour 2013, 2013.
  72. M. Wallraff, T. Leicht, M. Lange-Hegermann
    Numerical flux functions for Reynolds-averaged Navier-Stokes and kω turbulence model computations with a line-preconditioned p-multigrid discontinuous Galerkin solver
    Int. J. Numer. Meth. Fluids, vol. 71, pp. 1055-1072, 2013.
  73. T. Wick, A. H. Elsheikh, M.F. Wheeler
    Parameter Estimation for the Coupled Biot-Lam\'e-Navier Problem in Subsurface Modeling
    ARMA Conference in San Francisco, Jun 23-26, 2013.
  74. J. Weinbub, K. Rupp, S. Selberherr
    ViennaX: a parallel plugin execution framework for scientific computing
    Engineering with Computers, DOI 10.1007/s00366-013-0314-1, February 2013.
  75. T. Wick
    Flapping and Contact FSI Computations with the Fluid-Solid Interface-Tracking/Interface-Capturing Technique and Mesh Adaptivity
    Computational Mechanics, DOI: 10.1007/s00466-013-0890-3, 2013.
  76. T. Wick
    Coupling of fully Eulerian and arbitrary Lagrangian-Eulerian methods for fluid-structure interaction computations
    Computational Mechanics, DOI: 10.1007/s00466-013-0866-3, 2013.
  77. T. Wick
    Solving monolithic fluid-structure interaction problems in arbitrary Lagrangian Eulerian coordinates with the deal.II library
    ANS, vol. 1, pp. 1-19, 2013. http://www.archnumsoft.org/
  78. T. Wick
    Fully Eulerian fluid-structure interaction for time-dependent problems
    Comp. Methods Appl. Mech. Engrg., vol. 255, pp. 14-26, 2013.
  79. J. Willems
    Robust Multilevel Solvers for High-Contrast Anisotropic Multiscale Problems
    Journal of Computational and Applied Mathematics, 251:47-60, 2013, doi:10.1016/j.cam.2013.03.030.
  80. J. Willems
    Spectral Coarse Spaces in Robust Two-Level Schwartz Methods
    O. Iliev, S. Margenov, P. Minev, P. Vassilevski, L. Zikatanov, editors, Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications, 303-326, Springer Proceedings in Mathematics & Statistics, Springer, 2013.
  81. S. Yoon, Y. T. Kang
    Mass transfer enhancement in non-Brownian particle suspension under a confined shear
    International Journal of Heat and Mass Transfer, vol. 60, pp. 114-124, 2013.
  82. T. D. Young
    A finite basis grid analysis of the Hartree-Fock wavefunction method for one- and two-electron atoms
    AIP Conf. Proc., vol. 1558, pp. 1524, 2013.
  83. T. D. Young, E. Romero, J. E. Roman
    Parallel finite element density functional theory exploiting grid refinement and subspace recycling
    Comput. Phys. Commun., vol. 184, 1, pp. 66-72, 2013.
  84. V. Zingan, J.-L. Guermond, J. Morel, B. Popov
    Implementation of the entropy viscosity method with the Discontinuous Galerkin Method
    Computer Methods in Applied Mechanics and Engineering, vol. 253, pp. 479-490, 2013.

Publications in 2012

  1. M. Bause, U. Köcher
    Numerical simulation of elastic wave propagation in composite material
    Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) J. Eberhardsteiner et.al. (eds.) Vienna, Austria, September 10-14, 2012.
  2. M. Besier, W. Wollner
    On the pressure approximation in nonstationary incompressible flow simulations on dynamically varying spatial meshes
    International Journal for Numerical Methods in Fluids, vol. 69, pp. 1045-1064, 2012.
  3. L. Blank, L. Sarbu, M. Stoll
    Preconditioning for Allen-Cahn variational inequalities with non-local constraints
    Journal of Computational Physics, vol. 231, pp. 5406-5402, 2012.
  4. C. Boehm, M. Ulbrich
    A Newton-CG method for full-waveform inversion in a coupled solid-fluid system
    submitted, 2012.
  5. M. Braack, G. Lube, L. Röhe
    Divergence preserving interpolation on anisotropic quadrilateral meshes
    Comput. Methods Appl. Math., Vol. 12, pp. 123-138, 2012.
  6. M. Bürg
    A Residual-Based A Posteriori Error Estimator for the hp-Finite Element Method for Maxwell's Equations
    Appl. Numer. Math., vol. 62, pp. 922-940, 2012.
  7. M. Bürg
    Convergence of an automatic hp-adaptive finite element strategy for Maxwell's equations
    Preprint 12/04, Karlsruhe Institute of Technology (KIT), 2012.
  8. M. Bürg
    A Fully Automatic hp-Adaptive Refinement Strategy
    PhD Thesis, Karlsruhe Institute of Technology (KIT), 2012.
  9. A. Cangiani, J. Chapman, E. Georgoulis, M. Jensen
    On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods
    arXiv:1205.5672v1 [math.NA], 2012.
  10. A. Cangiani, E. Georgoulis, S. Metcalfe
    An a posteriori error estimator for discontinuous Galerkin methods for non-stationary convection-diffusion problems
    submitted, 2012.
  11. A. Cangiani, E. Georgoulis, M. Jensen
    Discontinuous Galerkin methods for mass transfer through semi-permeable membranes
    submitted, 2012.
  12. T. Carraro, J. Joos, B. Rüger, A. Weber, E. Ivers-Tiffée
    3D finite element model for reconstructed mixed-conducting cathodes: I. Performance quantification
    Electrochimica Acta, Volume 77, pp. 315-323, 2012.
  13. T. Carraro, J. Joos, B. Rüger, A. Weber, E. Ivers-Tiffée
    3D finite element model for reconstructed mixed-conducting cathodes: II. Parameter sensitivity analysis
    Electrochimica Acta, Volume 77, pp. 309-314, 2012.
  14. A. Demlow, A. H. Georgoulis
    Pointwise a posteriori error control for discontinuous Galerkin methods for elliptic problems
    SIAM Journal on Numerical Analysis, vol. 50, pp. 2159-2181, 2012.
  15. P. Dobson, C. Lei, T. Navessin, M. Secanell
    Characterization of the PEM Fuel Cell Catalyst Layer Microstructure by Nonlinear Least-Squares Parameter Estimation
    Journal of the Electrochemical Society, 159(5), B1-B10, 2012.
  16. Y. Efendiev, J. Galvis, R. Lazarov, J. Willems
    Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms
    ESAIM: Mathematical Modelling and Numerical Analysis, vol. 46, pp. 1175-1199, 2012.
  17. Y. Efendiev, J. Galvis, R. Lazarov, J. Willems
    Robust solvers for symmetric positive definite operators and weighted Poincaré inequalities
    In I. Lirkov, S. Margenov, and J. Wasniewski, editors, Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria, 43-51, Lecture Notes in Computer Science, Springer, 2012.
  18. J. Fang, X. Gao, A. Zhou
    A Kohn-Sham equation solver based on hexahedral finite elements
    Journal of Computational Physics, vol. 231, pp. 3166–3180, 2012.
  19. T. Fankhauser
    An hp-adaptive strategy based on smoothness estimation in 2d
    Master Thesis, University of Bern, Switzerland, 2012.
  20. T. Fankhauser, T. P. Wihler, M. Wirz
    hp-adaptive FEM based on continuous Sobolev embeddings: isotropic refinements
    Research report 2012-10, University of Bern, Switzerland, 2012.
  21. L. Ferguson
    Brittle fracture modeling with a surface tension excess property
    PhD thesis, Texas A&M University, 2012.
  22. A. Frisani, Y. Hassan
    A Projection Approach for the Immersed Finite Element Method
    Transactions of the American Nuclear Society, vol. 106, 2012.
  23. J. J. Gaitero, J. S. Dolado, C. Neuen, F. Heber, E. Koenders
    Computational 3d simulation of Calcium leaching in cement matrices
    Institut für numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, INS Preprint 1203, 2012.
  24. T. George, A. Gupta, V. Sarin
    An empirical analysis of the performance of iterative solvers for SPD systems
    Submitted to ACM Trans. Math. Softw., 2011.
  25. C. Goll, R. Rannacher, W. Wollner
    On the adjoint to the damped Crank-Nicolson time marching scheme: applications to goal-oriented mesh adaptation for the Black-Scholes equations
    Preprint, Institut für Wissenschaftliches Rechnen, accepted for publication in Journal of Computational Finance, 2012.
  26. C. Goll, T. Wick, W. Wollner
    DOpElib: Differential Equations and Optimization Environment; A Goal Oriented Software Library for Solving PDEs and Optimization Problems with PDEs
    submitted in Dec 2012.
  27. R. Hartmann
    Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow
    50th AIAA Aerospace Sciences Meeting, AIAA 2012-459, 2012.
  28. S. Kramer
    Finite-element methods for spatially resolved mesoscopic electron transport
    Physical Review B 88, 125308, 2013
    DOI: 10.1103/PhysRevB.88.125308
  29. R. Hartmann
    Higher-order and adaptive Discontinuous Galerkin methods applied to turbulent delta wing flow
    In H. P. Kreplin, editor, New Results in Numerical and Experimental Fluid Mechanics VIII: Contributions to the 17th STAB/DGLR Symposium Berlin, Germany, 2010, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Springer. In press.
  30. L. Heltai, S. Roy, F. Costanzo
    A Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Library
    arXiv:1209.2811 [math.NA], 2012.
  31. M. Hinze, M. Kunkel, A. Steinbrecher, T. Stykel
    Model order reduction of coupled circuit-device systems
    International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol. 25, pp. 362-377, 2012.
  32. O. Jirousek, P. Zlamal
    Large-scale micro-finite element simulation of compressive behavior of trabecular bone microstructure
    Proceedings of the 18th Conference on Engineering Mechanics, Svratka, Czech Republic, May 14-17, 2012; paper #206, pp. 543-549, 2012.
  33. J. Joos, M. Ender, T. Carraro, A. Weber, E. Ivers-Tiffée
    Representative Volume Element Size for Accurate Solid Oxide Fuel Cell Cathode Reconstructions from Focused Ion Beam Tomography Data
    Electrochimica Acta, in press, 2012.
  34. S. Joshi
    A model for the estimation of residual stresses in soft tissues
    Ph.D. thesis, Texas A&M University, 2012.
  35. M. Kronbichler, T. Heister, W. Bangerth
    High Accuracy Mantle Convection Simulation through Modern Numerical Methods
    Geophysical Journal International, vol. 191, pp. 12-29, 2012.
  36. K. Kormann
    A time-space adaptive method for the Schrödinger equation
    University of Uppsala, research report, 2012.
  37. M. Kunkel
    Nonsmooth Newton Methods and Convergence of Discretized Optimal Control Problems subject to DAEs
    PhD thesis, Universität der Bundeswehr München, 2012.
  38. A. T. McBride, J. Mergheim, A. Javili, P. Steinmann, S. Bargmann
    Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch
    Journal of the Mechanics and Physics of Solids, vol. 60, pp. 1221-1239, 2012.
  39. C. Neuen, M. Griebel, J. Hamaekers
    Multiscale simulation of ion migration for battery system
    Institut für numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, INS Preprint 1208, 2012.
  40. M. J. Rapson, J. C. Tapson, D. Karpul
    Unification and Extension of Monolithic State Space and Iterative Cochlear Models
    Journal of the Acoustical Society of America, vol. 131, pp. 3935-3952, 2012.
  41. N. Richardson
    An Investigation into Aspects of Rate-Independent Single Crystal Plasticity
    Master's thesis, University of Cape Town, South Africa, 2012.
  42. D. Riedlbauer, J. Mergheim, A. McBride, P. Steinmann
    Macroscopic modelling of the selective beam melting process
    PAMM, vol. 12, p. 381-382, 2012.
  43. E. Romero Alcalde
    Parallel implementation of Davidson-type methods for large-scale eigenvalue problems
    PhD thesis, Universitat Politecnica de Valencia, 2012.
  44. S. Roy
    Numerical simulation using the generalized immersed boundary method: An application to Hydrocephalus
    PhD thesis, The Pennsylvania State University, 2012.
  45. J.-P. V. Pelteret, B. D. Reddy
    Computational model of soft tissues in the human upper airway
    International Journal for Numerical Methods in Biomedical Engineering, Vol. 28, pp. 111–132, 2012.
  46. D. Schötzau, C. Schwab, T. Wihler, M. Wirz
    Exponential convergence of the hp-DGFEM for elliptic problems in polyhedral domains
    Research Report 2012-40, Seminar für Angewandte Mathematik, ETH Zurich, 2012.
  47. J. Sheldon
    A comparison of fluid-structure interaction coupling algorithms using the finite element method
    MSc thesis, The Pennsylvania State University, 2012.
  48. M. Stoll, A. Wathen
    Preconditioning for partial differential equation constrained optimization with control constraints
    Numerical Linear Algebra with Applications, vol. 19, pp. 53-71, 2012.
  49. M. Stoll, A. Wathen
    All-at-once solution of time-dependent PDE-constrained optimization problems
    Preprint, University of Magdeburg, 2012
  50. M. Stoll, A. Wathen
    All-at-once solution of time-dependent Stokes control
    Journal of Computational Physics, vol. 232, pp. 498-515, 2012.
  51. W. Symes, X. Wang
    Harmonic coordinate finite element method for acoustic waves
    SEG Technical Program Expanded Abstracts 2012, pp. 1-5, 2012.
  52. S. Taylor, K. Dontsova, S. Bigl, C. Richardson, J. Lever, J. Pitt, J. P. Bradley, M. Walsh. J. Simunek
    Dissolution Rate of Propellant Energetics from Nitrocellulose Matrices
    Engineer Research and Development Center, Cold Regions Research and Engineering Laboratory, US Army Corps of Engineers, Technical Report ER-1691, 2012.
  53. M. Thalhammer, J. Abhau
    A numerical study of adaptive space and time discretisations for Gross–Pitaevskii equations
    Journal of Computational Physics, vol. 231, pp. 6665-6681, 2012.
  54. J. Trangenstein
    Numerical Solution of Elliptic and Parabolic Partial Differential Equations
    Cambridge University Press, 2012.
  55. M. Vavalis, M. Mu, G. Sarailidis
    Finite element simulations of window Josephson junctions
    Journal of Computational and Applied Mathematics, vol. 236, pp. 3186-3197, 2012.
  56. M. Wallraff, T. Leicht, M. Lange-Hegermann
    Numerical flux functions for RANS-kω computations with a line-implicit p-multigrid DG solver
    50th AIAA Aerospace Sciences Meeting, AIAA 2012-458, 2012.
  57. T. Wick
    Goal-oriented mesh adaptivity for fluid-structure interaction with application to heart-valve settings
    Arch. Mech. Engrg., vol. 59, pp. 73-99, 2012.
  58. J. Willems
    Robust multilevel methods for general symmetric positive definite operators
    RICAM Report 2012-06, 2012.
  59. S. Yoon, M. A. Walkley, O. G. Harlen
    Two particle interactions in a confined viscoelastic fluid under shear
    Journal of Non-Newtonian Fluid Mechanics, vol. 185/186, pp. 39-48, 2012.
  60. S. Zhang, X. Lin, H. Zhang, D. A. Yuen, Y. Shi
    A new method for calculating displacements from elastic dislocation over arbitrary 3-D fault surface with extended FEM and Adaptive Mesh Refinement (AMR)
    Proceedings of the International Workshop on Deep Geothermal Systems, Wuhan, China, June 29-30, 2012.

Publications in 2011

  1. I. Adeniran, M. J. McPate, H. J. Wichtel, J. C. Hancox, H. Zhang
    Increased vulnerability of human ventricle to re-entrant excitation in hERG-linked variant 1 short QT syndrome
    PLoS Computational Biology, vol. 7, e1002313, 2011.
  2. M. Allmaras
    Modeling aspects and computational methods for some recent problems of tomographic imaging
    PhD thesis, Texas A&M University, 2011.
  3. M. Allmaras, W. Bangerth
    Reconstructions in ultrasound modulated optical tomography
    J. Inverse and Ill-posed Problems, vol. 19, pp. 801-823, 2011.
  4. F. Alouges, A. DeSimone, L. Heltai
    Numerical strategies for stroke optimization of axisymmetric microswimmers
    Mathematical Models and Methods in Applied Sciences, vol. 21, pp. 361-387, 2011.
  5. W. Bangerth, C. Burstedde, T. Heister, M. Kronbichler
    Algorithms and Data Structures for Massively Parallel Generic Finite Element Codes
    ACM Trans. Math. Softw., vol. 38, article 124, 2011.
  6. K. Benzarti, F. Freddi, M. Frémond
    A damage model to predict the durability of bonded assemblies. Part I: Debonding behavior of FRP strengthened concrete structures
    Construction and Building Materials, 25(2), 547-555, 2011.
  7. A. Buehler, A. Rosenthal, T. Jetzfellner, A. Dima, D. Razansky, V. Ntziachristos
    Model-based optoacoustic inversions with incomplete projection data
    Med. Phys., vol. 38, pp. 1694-1704, 2011.
  8. M. Bürg, W. Dörfler
    Convergence of an adaptive hp finite element strategy in higher space-dimensions
    Appl. Numer. Math. 61, pp. 1132-1146, 2011.
  9. A. Cangiani, E. Georgoulis, M. Jensen
    Discontinuous Galerkin methods for convection-diffusion problems modelling mass transfer through semipermeable membranes.
    Proceedings of the Congress on Numerical Methods in Engineering, Coimbra, 2011.
  10. P. Carrara, D. Ferretti, F. Freddi, G. Rosati
    Shear tests of carbon fiber plates bonded to concrete with control of snap-back
    Engineering Fracture Mechanics, vol. 78, pp. 2663-2678, 2011.
  11. S. Chandrasekaran, K. R. Jayaraman, M. Gu, H. N. Mhaskar, J. Moffitt
    MSNFD: A Higher Order Finite Difference Method for Solving Elliptic PDEs on scattered points (An Extended version of our paper submitted to ICCS 2011)
    submitted, 2011.
  12. B. Crestel
    Moving meshes on general surfaces
    Ph.D. thesis, Simon Fraser University, 2011
  13. E. Emmrich, D. Šiška
    Full discretization of second-order nonlinear evolution equations: Strong convergence and applications
    Preprint, University of Bielefeld, 2011.
  14. F. Freddi, G. Royer-Carfagni
    Variational fracture mechanics for compressive splitting of masonry-like materials
    Annals of Solid and Structural Mechanics, vol. 2, pp. 57-67, 2011.
  15. F. Freddi, G. Royer-Carfagni
    A variational approach to plasticity. Numerical experiments
    Proceedings, Atti XX Congresso Nazionale AIMETA, Bologna, Italy, 2011.
  16. M. Freyer
    Automatische Segmentierung anatomischer Strukturen in CT-Bildern eines hybriden FMT/XCT-Systems zur Verbesserung der optischen Bildgebung
    Ph.D. thesis, Ludwig-Maximilians-University Munich, Germany, 2011.
  17. J. Frohne
    FEM-Simulation der Umformtechnik metallischer Oberflächen im Mikrokosmos
    Ph.D. thesis, University of Siegen, Germany, 2011.
  18. S. Gladkov, T. Kayser, B. Svendsen
    FE-modeling of ideal grain growth based on preprocessed EBSD data
    PAMM, vol. 11, pp.471-472 2011.
  19. A. Ginzburg
    Introduction to Geophysics (in Hebrew)
    The Open University of Israel, 2011.
  20. J.-L. Guermond, A. Salgado
    Error analysis of a fractional time-stepping technique for incompressible flows with variable density.
    SIAM J. of Numerical Analysis, vol. 49, pp. 917-944, 2011.
  21. R. Hartmann, J. Held, T. Leicht
    Adjoint-based error estimation and adaptive mesh refinement for the RANS and k-ω turbulence model equations
    J. Comput. Phys., vol. 230, pp. 4268-4284, 2011.
  22. T. Heister
    A Massively Parallel Finite Element Framework with Application to Incompressible Flows
    Ph.D. thesis, University of Göttingen, Germany, 2011
  23. L. Heltai, F. Costanzo
    Variational implementation of immersed finite element methods
    Computer Methods in Applied Mechanics and Engineering, vol. 229–232, pp. 110–127, 2012.
  24. M. Hinze, M. Kunkel, M. Vierling
    POD model order reduction of drift-diffusion equations in electrical networks
    in: Model Reduction for Circuit Simulation, P. Benner, M. Hinze, and J. ter Maten (eds.), Lecture Notes in Electrical Engineering, vol. 74, Berlin-Heidelberg: Springer-Verlag, p. 177–192, 2011.
  25. M. Hinze, M. Kunkel, U. Matthes, M. Vierling
    Model order reduction of integrated circuits in electrical networks
    Hamburger Beiträge zur Angewandten Mathematik, Nr. 2011-14.
  26. M. Hinze, M. Kunkel, A. Steinbrecher, T. Stykel
    Model order reduction of coupled circuit-device systems
    Hamburger Beiträge zur Angewandten Mathematik, Nr. 2011-08.
  27. O. P. Iliev, R. D. Lazarov, J. Willems
    Variational multiscale finite element method for flows in highly porous media
    SIAM Multiscale Modeling and Simulation, submitted, 2011
  28. B. Janssen, G. Kanschat
    Adaptive multilevel methods with local smoothing
    submitted, 2010.
  29. G. Jegert, A. Kersch, W. Weinreich, P. Lugli
    Monte Carlo Simulation of Leakage Currents in TiN/ZrO2/TiN Capacitors
    IEEE Transactions on Electron Devices, vol. 58, pp. 327-334, 2011.
  30. N. Johansson
    Implementation of a standard level set method for incompressible two-phase flow simulations
    Master's thesis, Uppsala University, Uppsala, Sweden, 2011.
  31. J. Joos, T. Carraro, M. Ender, B. Rüger, A. Weber, E. Ivers-Tiffée
    Detailed Microstructure Analysis and 3D Simulations of Porous Electrodes
    ECS Trans. 35, pp. 2357-2368, 2011.
  32. F. Keller, H. Nirschl, W. Dörfler
    Primary charge effects on prolate spheroids with moderate aspect ratios
    Journal of Colloid and Interface Science, vol. 363, pp. 690-702, 2011.
  33. K. Kormann, M. Kronbichler
    Parallel finite element operator application: Graph partitioning and coloring
    In proceedings of the 2011 IEEE 7th international conference on e-Science, pp. 332-339, 2011.
  34. M. Kronbichler
    Computational Techniques for Coupled Flow-Transport Problems
    PhD Thesis, Uppsala University, Uppsala, Sweden, 2011.
  35. M. Kronbichler, C. Walker, G. Kreiss, B. Müller
    Multiscale modeling of capillary-driven contact line dynamics
    submitted, 2011.
  36. W. Layton, L. Röhe, H. Tran
    Explicitly uncoupled VMS stabilization of fluid flow
    Computer Methods in Applied Mechanics and Engineering, vol. 200, pp. 3183-3199, 2011.
  37. T. Leicht, R. Hartmann
    Error estimation and hp-adaptive mesh refinement for discontinuous Galerkin methods
    In Z. J. Wang, editor, Adaptive High-Order Methods in Computational Fluid Dynamics - with applications in aerospace engineering, World Science Books, pp. 67-94, 2011.
  38. T. Leicht, R. Hartmann
    Goal-oriented error estimation and hp-adaptive mesh refinement for aerodynamic flows.
    49th AIAA Aerospace Sciences Meeting AIAA 2011-212, 2011.
  39. K. Leonard
    Multiphase Modelling of Tissue Engineering
    Proceedings of the University of Oxford Department of Computer Science Student Conference 2011, pp. 18-19, 2011.
  40. J. Löwe, G. Lube, L. Röhe
    A Projection-Based Variational Multiscale Method for the Incompressible Navier–Stokes/Fourier Model
    BAIL 2010 - Boundary and Interior Layers, Computational and Asymptitic Methods. Lecture Notes in Computational Science and Engineering, Volume 81, pp. 165-175, 2011.
  41. C. E. Michoski, J. A. Evans, P. G. Schmitz
    Modeling Chemical Reactors I: Quiescent Reactors
    Preprint, arXiv, 2010
  42. M. T. Myers, B. H. Sencer, L. Shao
    Multi-scale modeling of localized heating caused by ion bombardment
    Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, in press, 2011.
  43. A. Nigro, S. Renda, C. De Bartolo, R. Hartmann, F. Bassi
    A discontinuous Galerkin method for laminar low Mach number flows
    66th National Congress ATI in Rende, Italy, 5-9 Sept. 2011. University of Calabria, 2011.
  44. J. A. Norato, A. J. Wagoner Johnson
    A Computational and Cellular Solids Approach to the Stiffness-Based Design of Bone Scaffolds
    J. Biomech. Eng., vol. 133, 091003/1-8, 2011.
  45. J. Pearson, M. Stoll, A. Wathen
    Regularization-robust preconditioners for time-dependent PDE constrained optimization problems
    Preprint 1398, The Mathematical Institute, University of Oxford, submitted to SIAM, 2011.
  46. D. Pilipenko, M. Fleck, H. Emmerich
    On numerical aspects of phase field fracture modelling
    European Phys. J. Plus, vol. 126, 100/1-16, 2011.
  47. K. J. Raghuram
    Higher Order Numerical Discretization on Scattered Grids
    PhD thesis, University of California, Santa Barbara, 2011.
  48. M. J. Rapson, J. C. Tapson
    Emulating the theoretical bifurcation diagram of a cochlear model in computation
    Second African Conference on Computational Mechanics - AfriCOMP11, 2011
  49. M. J. Rapson, J. C. Tapson
    Investigations into Time Stepping Methods for Cochlear Models
    International Journal for Numerical Methods in Biomedical Engineering, accepted, 2011
  50. T. Richter, T. Wick
    Fluid-Structure Interactions in ALE and Fully Eulerian Coordinates
    PAMM, vol. 10, pp. 487-488, 2011.
  51. D. Riedlbauer
    Thermomechanical Modelling and Simulation of Electron Beam Melting
    Master's thesis, Friedrich-Alexander-University, Erlangen-Nuremberg, 2011.
  52. L. Röhe, G. Lube
    Large-Eddy Simulation of Wall-Bounded Turbulent Flows: Layer-Adapted Meshes vs. Weak Dirichlet Boundary Conditions
    BAIL 2010 - Boundary and Interior Layers, Computational and Asymptitic Methods. Lecture Notes in Computational Science and Engineering, Volume 81, pp. 197-205, 2011.
  53. A. Salgado
    A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines
    Submitted to Comp. Meths. Appl. Mech. Engrg., 2011.
  54. M. Stoll, J. Pearson, A. Wathen
    Preconditioners for state constrained optimal control problems with Moreau-Yosida penalty function
    Submitted to Numerical Linear Algebra with Applications, 2011.
  55. J. White, R. I. Borja
    Block-preconditioned Newton–Krylov solvers for fully coupled flow and geomechanics
    Comp. Geosc., vol. 15, pp. 647-659, 2011.
  56. T. Wick
    Fluid-structure interactions using different mesh motion techniques
    Computers and Structures, vol. 89, pp. 1456-1467, 2011.
  57. T. Wick
    Adaptive finite element simulation of fluid-structure interaction
    PhD thesis, University of Heidelberg, Germany, 2011.
  58. T. D. Young
    A qualitative semi-classical treatment of an isolated semi-polar quantum dot
    J. Phys.: Conf. Ser., 28(10), 2011.
  59. S. Zahedi, M. Kronbichler, G. Kreiss
    Spurious currents in finite element based level set methods for two-phase flow
    Int. J. Numer. Meth. Fluids., vol. 67, 2011.
  60. L. Zhou, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography in the Presence of Measurement Noise
    IEEE Trans. Image Processing, vol. 20, pp. 1094-1111, 2011.
  61. L. Zhu, D. Schötzau
    A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
    IMA J. Numer. Math., vol. 31, pp. 971-1005, 2011.

Publications in 2010

  1. M. Alexe, A. Sandu
    Space-time adaptive solution of inverse problems with the discrete adjoint method
    Technical Report TR-10-14, Computational Science Laboratory, Department of Computer Science, Virginia Tech, 2010.
  2. M. S. Alnæs, K.-A. Mardal
    On the efficiency of symbolic computations combined with code generation for finite element methods
    ACM Transactions on Mathematical Software, vol. 37, 8/1-26, 2010.
  3. M. Arroyo, A. DeSimone, L. Heltai
    The role of membrane viscosity in the dynamics of fluid membranes
    arXiv:1007.4934, 2010.
  4. W. Bangerth, M. Geiger, R. Rannacher
    Adaptive Galerkin finite element methods for the wave equation
    Computational Methods in Applied Mathematics, vol. 10, pp.3-48, 2010.
  5. S. Bartle, A. McBride, B. D. Reddy
    Shell finite elements, with applications in biomechanics
    In: Kok, S. (Ed.): Proceedings of 7th South African Conference on Computational and Applied Mechanics (University of Pretoria, Pretoria, South Africa). 2010.
  6. A. Cangiani, R. Natalini
    A spatial model of cellular molecular trafficking including active transport along microtubules
    Journal of Theoretical Biology, vol. 267, pp. 614-625, 2010.
  7. C.-C. Chueh, M. Secanell, W. Bangerth, N. Djilali
    Multi-level Adaptive Simulation of Transient Two-phase Flow in Heterogeneous Porous Media
    Computers and Fluids, vol. 39, pp. 1585-1596, 2010.
  8. C.-C. Chueh
    Integrated adaptive numerical methods for transient two-phase flow in heterogeneous porous medi
    Ph.D. thesis, University of Victoria, 2010.
  9. T. Dally
    FE-Modelladaptivität für P-Laplace
    Master's thesis, Universität Siegen, Germany, 2010
  10. M. Freyer, A. Ale, R. Schulz, M. Zientkowska, V. Ntziachristos, K.-H. Englmeier
    Fast automatic segmentation of anatomical structures in x-ray computed tomography images to improve fluorescence molecular tomography reconstruction
    Journal of Biomedical Optics, vol. 15, pp. 036006/1-8, 2010.
  11. F. Freddi, M. Frémond
    Collision and Fractures: a predictive theory
    European Journal of Mechanics - A/Solids, vol. 29, pp. 998-1007, 2010.
  12. F. Freddi, G. Royer-Carfagni
    Regularized Variational Theories of Fracture: a Unified Approach
    Journal of the Mechanics and Physics of Solids, vol. 58, pp. 1154-1174, 2010.
  13. F. Freddi, G. Royer-Carfagni
    A variational formulation for smeared fixed-crack models
    Proceedings of the IGF Workshop "Problematiche di Frattura nei Materiali per l'Ingegneria", Giornata IGF Forni di Sopra, pp. 133-142, 2010.
  14. P. Ghysels, G. Samaey, P. Van Liedekerke, E. Tijskens, H. Ramon, D. Roose
    Multiscale modeling of viscoelastic plant tissue
    Int. J. Multisc. Comput. Engrg., vol. 8, pp. 379-396, 2010
  15. P. Ghysels, G. Samaey, P. Van Liedekerke, E. Tijskens, H. Ramon, D. Roose
    Coarse implicit time integration of a cellular scale particle model for plant tissue deformation
    Int. J. Multisc. Comput. Engrg., vol. 8, pp. 411-422, 2010
  16. V. Girault, F. Murat, A. Salgado
    Finite element discretization of Darcy's equations with pressure dependent porosity.
    M2AN, vol. 44, pp. 1155-1191, 2010
  17. M. Guven, L. Reilly-Raska, L. Zhou, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography: Part I
    IEEE Trans. Medical Imaging, vol. 29, pp. 217-229, 2010
  18. M. Guven, L. Zhou, L. Reilly-Raska, B. Yazici
    Discretization Error Analysis and Adaptive Meshing Algorithms for Fluorescence Diffuse Optical Tomography: Part II
    IEEE Trans. Medical Imaging, vol. 29, pp. 230-245, 2010
  19. R. Hartmann, J. Held, T. Leicht, F. Prill
    Discontinuous Galerkin methods for computational aerodynamics — 3D adaptive flow simulation with the DLR PADGE code
    Aerospace Science and Technology, vol. 14, pp. 512-529, 2010.
  20. R. Hartmann, J. Held, T. Leicht, F. Prill
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. van der Ven and K. Sorensen, editors, ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications,
    vol. 113 of Notes on numerical fluid mechanics and multidisciplinary design, pp. 339-353, Springer, 2010.
  21. R. Hartmann, P. Houston
    Error estimation and adaptive mesh refinement for aerodynamic flows
    In H. Deconinck, editor, VKI LS 2010-01: 36th CFD/ADIGMA course on hp-adaptive and hp-multigrid methods, Oct. 26-30, 2009.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium, 2010.
  22. R. Hartmann, T. Leicht
    Discontinuous Galerkin Verfahren in der Aerodynamik: Höhere Ordnung, Fehlerschätzung und Gitteradaption
    STAB Mitteilungen. 17. DGLR-Fach-Symposium der STAB, 9.-10. Nov. 2010, Berlin, 2010.
  23. T. Heister, G. Lube, G. Rapin
    On robust parallel preconditioning for incompressible flow problems
    In Numerical Mathematics and Advanced Applications, ENUMATH 2009. Springer, Berlin, 2010.
  24. T. Heister, M. Kronbichler, W. Bangerth
    Generic Finite Element programming for massively parallel flow simulations
    Eccomas CFD 2010 proceedings, 2010.
  25. T. Heister, M. Kronbichler, W. Bangerth
    Massively Parallel Finite Element Programming
    Recent Advances in the Message Passing Interface, Lecture Notes in Computer Science, vol. 6305/2010, pp. 122-131, 2010.
  26. M. Hinze, M. Kunkel
    Discrete empirical interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
    Scientific Computing in Electrical Engineering, SCEE 2010 Mathematics in Industry, Volume 16, Part 5, 423-431, 2012.
  27. M. Hinze, M. Kunkel
    Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks
    arXiv:1003.0551v1 [math.NA], 2010.
  28. O. P. Iliev, R. D. Lazarov, J. Willems
    Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman Equations
    Large-Scale Scientific Computing, Lectures Notes in Computer Science, vol. 5910, pp. 14-25, 2010
  29. O. P. Iliev, R. D. Lazarov, J. Willems
    Fast numerical upscaling of heat equation for fibrous materials
    J. Computing and Visualization in Science, vol. 13, pp. 275-285, 2010
  30. B. Janssen, T. Wick
    Block preconditioning with Schur complements for monolithic fluid-structure interactions
    Proceedings of the Eccomas CFD 2010 conference, J. C. F. Pereira and A. Sequeira (eds.), 2010.
  31. J. Joos, B. Rüger, T. Carraro, A. Weber, E. Ivers-Tiffée
    Electrode Reconstruction by FIB/SEM and Microstructure Modeling
    ECS Trans. 28, pp. 81-91, 2010.
  32. G. Kanschat, B. Rivière
    A strongly conservative finite element method for the coupling of Stokes and Darcy flow
    J. Computational Physics, vol. 229, pp. 5933-5943, 2010
  33. F. Keller, M. Feist, H. Nirschl, W. Dörfler
    Investigation of the nonlinear effects during the sedimentation process of a charged colloidal particle by direct numerical simulation
    Journal of Colloid and Interface Science, vol. 344, pp. 228-236, 2010.
  34. S. Kim, J. E. Pasciak
    Analysis of a Cartesian PML approximation to acoustic scattering problems in R2
    J. Math. Anal. Appl., vol. 370, pp. 168-186, 2010
  35. R. King, V. Mehrmann, W. Nitsche
    Active Flow Control—A Mathematical Challenge
    Production Factor Mathematics, Part 1, pp. 73-80, 2010
  36. R. King, V. Mehrmann, W. Nitsche
    Aktive Strömungsbeeinflussung — Eine Mathematische Herausforderung
    Produktionsfaktor Mathematik, Part 2, pp. 99-109, 2010
  37. T. Leicht, R. Hartmann
    Error estimation and anisotropic mesh refinement for 3d laminar aerodynamic flow simulations
    J. Comput. Phys., vol. 229, pp. 7344-7360, 2010.
  38. T. Leicht, R. Hartmann
    Error estimation and anisotropic mesh refinement for aerodynamic flow simulations
    In Numerical Mathematics and Advanced Applications, ENUMATH 2009, pp. 579-587. Springer, Berlin, 2010.
  39. G. Lube, B. Tews
    Optimal control of singularly perturbed advection-diffusion-reaction problems
    Math. Model. Meths. Appl. Sc., Vol. 20, No. 3, 375-395, 2010. (DOI)
    Preprint 2008-15, Institute for Numerical and Applied Mathematics, University of Göttingen, Germany, 2008
  40. C. P. T. Neuen
    A multiscale approach to the Poisson-Nernst-Planck equation
    Diploma Thesis, University of Bonn, Germany, 2010
  41. A. Nigro, C. De Bartolo, R. Hartmann, F. Bassi
    Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows
    Int. J. Numer. Meth. Fluids, vol. 63, no. 4, pp. 449-467, 2010.
  42. F. Prill
    Diskontinuierliche Galerkin-Methoden und schnelle iterative Löser zur Simulation kompressibler Strömungen
    PhD thesis, TU Hamburg-Harburg, 2010. (in German)
    Also available as DLR-FB 2010-17, DLR, 2010. ISSN 1434-8454.
  43. M. J. Rapson, J. C. Tapson
    Capturing low‐frequency cochlear impedance in time domain models: The role of viscosity
    J. Acoust. Soc. Am. Volume 127, Issue 3, pp. 1869-1869, 2010.
  44. K. Rupp
    Symbolic integration at compile time in finite element methods
    Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 347-354, 2010.
  45. T. Rees, M. Stoll, A. Wathen
    All-at-once preconditioning in PDE-constrained optimization
    Kybernetica, vol. 46, pp. 341-360, 2010.
  46. T. Richter, T. Wick
    Finite Elements for Fluid-Structure Interaction in ALE and Fully Eulerian Coordinates
    Comput. Meth. Appl. Mech. Engrg., vol. 199, pp. 2633-2642, 2010.
  47. L. Röhe, G. Lube
    Analysis of a variational multiscale method for large-eddy simulation and its application to homogeneous isotropic turbulence
    Comput. Meth. Appl. Mech. Engrg., vol. 199, pp. 2331-2342, 2010.
  48. A. Salgado
    Approximation Techniques for Incompressible Flows with Heterogeneous Properties
    Ph.D. thesis, Texas A&M University, 2010.
  49. R. Schulz, A. Ale, A. Sarantopoulos, M. Freyer, E. Soehngen, M. Zientkowska, V. Ntziachristos
    Hybrid System for Simultaneous Fluorescence and X-Ray Computed Tomography
    IEEE Trans. Medical Imaging, vol. 29, pp. 465-473, 2010
  50. M. Secanell, R. Songprakorp, N. Djilali, A. Suleman
    Optimization of a proton exchange membrane fuel cell electrode assembly
    Structural and Multidisciplinary Optimization, vol. 40, pp. 563-583, 2010
  51. M. Steigemann, M. Specovius-Neugebauer, M. Fulland, H. A. Richard
    Simulation of crack paths in functionally graded materials
    Engineering Fracture Mechanics, vol. 77, pp. 2145-2157, 2010
  52. M. Stoll, A. Wathen
    All-at-once preconditioning of time-dependent PDE-constrained optimization problems
    Preprint 1017, University of Oxford, 2010.
  53. B. Turcksin, J. C. Ragusa, W. Bangerth
    Goal-oriented h-adaptivity for the multigroup SPN equations
    Nuclear Science and Engineering, vol. 165, pp. 305-319, 2010.
  54. M. Vdroljak
    On Hashin-Shtrikman bounds for mixtures of two isotropic materials
    Nonlinear Analysis: Real world applications, vol. 11, pp. 4597-4606, 2010
  55. C. Weiler
    Stromfunktionsformulierung der Navier-Stokes-Gleichungen und Methoden der Druckrekonstruktion
    Diploma Thesis, University of Heidelberg, Germany, 2010
  56. T. D. Young, R. Armiento
    Strategies for h-adaptive refinement for a finite element treatment of harmonic oscillator Schrödinger eigenproblem
    Commun. Theor. Phys. (Beijing, China), vol. 53(6), pp. 1017-1023, 2010.
  57. L. Zhu
    Robust a posteriori error estimation for discontinuous Galerkin methods for convection-diffusion equations
    Ph.D. thesis, University of British Columbia, 2010

Publications in 2009

  1. W. Bangerth, A. Joshi
    Adaptive finite element methods for nonlinear inverse problems
    Proceedings of the 2009 ACM Symposium on Applied Computing, 2009.
  2. W. Bangerth, O. Kayser-Herold
    Data Structures and Requirements for hp Finite Element Software
    ACM Trans. Math. Softw., vol. 36, pp. 4/1-31, 2009.
  3. S. Bartle
    Shell finite elements with applications in biomechanics
    M.Sc. thesis, University of Cape Town, South Africa, 2009.
  4. F. Bassi, C. De Bartolo, R. Hartmann, A. Nigro
    A discontinuous Galerkin method for inviscid low Mach number flows
    J. Comput. Phys., vol. 228, no. 11, pp. 3996-4011, 2009.
  5. B. Brendel, T. Nielsen
    Selection of optimal wavelengths for spectral reconstruction in diffuse optical tomography
    J. Biomed. Optics, vol. 14, 034041/1-034041/10, 2009.
  6. C. Clason, P. Hepperger
    A forward approach to numerical data assimilation
    SIAM J. Sc. Comput., vol. 31, pp. 3090-3115, 2009
  7. B. Cockburn, G. Kanschat, and D. Schötzau
    An equal-order DG method for the incompressible Navier-Stokes equations
    J. Sci. Comput., vol. 40, pp. 188-210, 2009. DOI: 10.1007/s10915-008-9261-1
  8. A. DeSimone, L. Heltai, C. Manigrasso
    Tools for the Solution of PDEs Defined on Curved Manifolds with the deal.II Library
    Prep. SISSA 42/2009/M.
  9. F. Freddi, G. Royer-Carfagni
    From Non-Linear Elasticity to Linearized Theory: Examples Defying Intuition
    J. of Elasticity, vol. 96, pp. 1-26, 2009
  10. F. Freddi, G. Royer-Carfagni
    Variational models for cleavage and shear fractures
    Proceedings of the XIX Congresso Aimeta, Ancona, 2009.
  11. T. George, A. Gupta, V. Sarin
    An empirical analysis of the performance of iterative solvers for SPD systems
    IBM TJ Watson Research Center, Tech. Rep. RC24737, 2009.
  12. P. Ghysels, G. Samaey, B. Tijskens, P. Van Liedekerke, H. Ramon, D. Roose
    Multi-scale simulation of plant tissue deformation using a model for individual cell mechanics
    Phys. Biol., vol. 6, pp. 016009/1-14, 2009
  13. S. Gladkov, M. Stiemer, B. Svendsen
    Phase-field-based modeling and simulation of solidification and deformation behavior of technological alloys
    PAMM, vol. 8, pp. 10547-10548, 2009
  14. R. Hartmann, M. Lukacova-Medvidova, F. Prill
    Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements
    Appl. Numer. Math., vol. 59, no. 8, pp. 1737-1753, 2009
  15. H. K. Hesse, G. Kanschat
    Mesh Adaptive Multiple Shooting for Partial Differential Equations. Part I: Linear Quadratic Optimal Control Problems
    Journal of Numerical Mathematics, vol. 17, pp. 195-217 2009
  16. D. Hyde, R. Schulz, D. Brooks, E. Miller, V. Ntziachristos
    Performance dependence of hybrid x-ray computed tomography/fluorescence molecular tomography on the optical forward problem
    J. Optical Soc. Amer., vol. 26, pp. 919-923, 2009
  17. T. Jetzfellner, D. Razansky, A. Rosenthal, R. Schulz, K.-H. Englmeier, V. Ntziachristos
    Performance of iterative optoacoustic tomography with experimental data
    Appl. Phys. Lett., vol. 95, pp. 013703/1-3, 2009
  18. J. Jung
    Mehrgitterverfahren für FE-Modelle 4. Ordnung
    Master's thesis, Universität Siegen, Germany, 2009
  19. S. Kim
    Analysis of a PML method applied to computation of resonances in open systems and acoustic scattering problems
    Ph.D. thesis, Texas A&M University, 2009
  20. S. Kim, J. E. Pasciak
    The computation of resonances in open systems using a perfectly matched layer
    Math. Comp., vol. 78, pp. 1375-1398, 2009
  21. N. Klein
    Modelladaptive FE-Techniken bei Elastizitätsproblemen mit großen Verformungen
    Master's thesis, Universität Siegen, Germany, 2009
  22. J. Lorentzon
    Fluid-structure interaction (FSI) case study of a cantilever using OpenFOAM and DEAL.II with application to VIV
    Master's thesis, Lunds Institute of Technology, Sweden, 2009
  23. G. Matthies, G. Lube, L. Röhe
    Some remarks on streamline-diffusion methods for inf-sup stable discretisations of the generalised Oseen problem
    Comp. Meths. Appl. Math. 9 (2009) 4, 1-23.
  24. A. M. McMahon
    Modelling the Flow Behaviour of Gas Bubbles in a Bubble Column
    M.Sc. thesis, University of Cape Town, South Africa, 2009.
  25. S. T. Miller, F. Costanzo
    A numerical verification for an unconditionally stable FEM for elastodynamics
    Comp. Mech., vol. 43, pp. 223-237, 2009
  26. M. Olshanskii, G. Lube, T. Heister, J. Löwe
    Grad-div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations
    Comp. Meth. Appl. Mech. Eng. V. 198, pp. 3975-3988, 2009
  27. J. S. Pitt, F. Costanzo
    An adaptive h-refinement algorithm for local damage models
    Algorithms, vol. 2, pp. 1281-1300, 2009
  28. L. Plagne, F. Hülsemann, D. Barthou, J. Jaeger
    Parallel expression template for large vectors
    Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing, European Conference on Object-Oriented Programming, 2009.
  29. F. Prill, M. Lukacova-Medvidova, R. Hartmann
    Smoothed aggregation multigrid for the discontinuous Galerkin method
    SIAM J. Sci. Comput., vol. 31, no. 5, pp. 3503-3528, 2009.
  30. F. Prill, M. Lukacova-Medvidova, R. Hartmann
    A multilevel discontinuous Galerkin method for the compressible Navier-Stokes equations
    In A. Handlovicova, P. Frolkovic, K. Mikula and D. Sevcovic, eds., Proceedings of ALGORITMY 2009. 18th Conference on Scientific Computing Vysoke Tatry - Podbanske, Slovakia, March 15 - 20, 2009.
  31. A. Q. Raeini
    Fractured reservoir simulation using finite element method with logarithmic shape functions (in Persian)
    M. Sc. thesis, Sharif University of Technology, Iran, 2009.
  32. H. R. Ramay and M. Vendelin
    Diffusion restrictions surrounding mitochondria: a mathematical model of heart muscle fibers
    Biophys. J., vol. 97, pp. 443-452, 2009.
  33. R. Rannacher
    Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction
    In: Computational Fluid Dynamics 2008 (H. Choi, H. G. Choi and J. Y. Yoo, eds.), pp. 31-45, Springer, 2009.
  34. B. Rüger, J. Joos, T. Carraro, A. Weber, E. Ivers-Tiffée
    3D Electrode Microstructure Reconstruction and Modelling
    ECS Trans. 25, pp. 1211-1220, 2009.
  35. D. Schötzau, L. Zhu
    A robust a-posteriori error estimator for discontinuous Galerkin methods for convection-diffusion equations
    Appl. Numer. Math., vol. 59, pp. 2236-2255, 2009
  36. N. Schröder
    Simulation eines mikrofluidischen Kanals mit deal.II
    Master's thesis, Universität Siegen, Germany, 2009
  37. Y. Wang
    Adaptive mesh refinement solution techniques for the multigrid SN transport equation using a higher-order discontinuous finite element method
    Ph.D. thesis, Texas A&M University, 2009
  38. Y. Wang, W. Bangerth, J. Ragusa
    Three-dimensional h-adaptivity for the multigroup neutron diffusion equations
    Progress in Nuclear Energy, vol. 51, pp. 543-555, 2009
  39. S. Wanka
    Grundkonzepte zur Modelladaptivität bei Hindernisproblemen
    Master's thesis, Universität Siegen, Germany, 2009
  40. J. White
    Stabilized finite element methods for coupled flow and geomechanics
    PhD thesis, Stanford University, 2009.
  41. J. Willems
    Numerical Upscaling for Multiscale Flow Problems - Analysis and Algorithms
    Südwestdeutscher Verlag für Hochschulschriften, 2009.
  42. J. Willems
    Numerical upscaling for multiscale flow problems
    Ph.D. thesis, University of Kaiserslautern, Germany, 2009
  43. T. D. Young, E. Romero, and J. E. Roman
    Finite element solution of the stationary Schrödinger equation using standard computational tools
    In Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering 2009, Gijon Asturias, Spain, July 2009.
  44. T. D. Young
    Exemplifying quantum systems in a finite element basis
    AIP Conf. Proc., vol. 1148, pp. 285-289 2009.
  45. R. Ziegler, B. Brendel, A. Schipper, R. Harbers, M. van Beek, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: I. Theory and experiment
    Phys. Med. Biol., vol. 54, pp. 399-412, 2009
  46. R. Ziegler, B. Brendel, H. Rinneberg, T. Nielsen
    Investigation of detection limits for diffuse optical tomography systems: II. Analysis of slab and cup geometry for breast imaging
    Phys. Med. Biol., vol. 54, pp. 413-431, 2009
  47. R. Ziegler, T. Nielsen, T. Koehler, D. Grosnick, O. Steinkellner, A. Hagen, R. Macdonald, H. Rinneberg
    Nonlinear reconstruction of absorption and fluorescence contrast from measured diffuse transmittance and reflectance of a compressed-breast-simulating phantom
    Applied Optics, vol. 48, pp. 4651-4662, 2009

Publications in 2008

  1. W. Bangerth
    A framework for the adaptive finite element solution of large-scale inverse problems
    SIAM J. Sci. Comput, vol. 30, pp. 2965-2989, 2008
  2. W. Bangerth, A. Joshi
    Adaptive finite element methods for the solution of inverse problems in optical tomography
    Inverse Problems, vol. 24, article 034011 (23 pages), 2008
  3. E. Bängtsson, B. Lund
    A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth
    Int. J. Numer. Meth. Engrg., vol. 75, pp. 479-502, 2008
  4. M. Bartels, A. Joshi, J. C. Rasmussen, E. M. Sevick-Muraca, W. Bangerth
    Post-image acquisition excitation light mitigation in NIR fluorescent tomography
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2008
  5. B. Brendel, R. Ziegler, T. Nielsen
    Algebraic reconstruction techniques for spectral reconstruction in diffuse optical tomography
    Applied Optics, vol. 47, pp. 6392-6403, 2008
  6. D. Boffi, L. Gastaldi, L. Heltai, C. S. Peskin
    On the hyper-elastic formulation of the immersed boundary method
    Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 2210-2231, 2008
  7. B. Carnes, G. F. Carey
    Local boundary value problems for the error in FE approximation of non-linear diffusion systems
    Int. J. for Numer. Methods Engrg., vol. 73, pp. 665-684, 2008
  8. N. Djilali, P. C. Sui
    Transport phenomena in fuel cells: from microscale to macroscale
    Int. J. of Comput. Fluid Dynam., vol. 22, pp. 115-133, 2008
  9. R. Fosdick, F. Freddi, G. Royer-Carfagni
    Bifurcation instability in linear elasticity with the constraint of local injectivity
    J. of Elasticity, vol. 90, pp. 99-126, 2008
  10. M. Geiger
    Vergleich dreier Zeitschrittverahren zur numerischen Lösung der akustischen Wellengleichung
    Diploma thesis, University of Heidelberg, Germany, 2008
  11. P. Ghysels, G. Samaey, B. Tijskens, H. Ramon, D. Roose
    Multi-scale simulation of plant tissue deformation using a model for individual cell behavior
    Report TW 522, Department of Computer Science, K.U. Leuven, Belgium, 2008
  12. C. Giavarini, M. L. Santarelli, R. Natalini, F. Freddi
    A non linear model of sulphation of porous stones: numerical simulations and preliminary laboratory assessments
    J. of Cultural Heritage, vol. 9, pp. 14-22, 2008
  13. M. Grote, A. Schneebeli, D. Schötzau
    Interior penalty discontinuous Galerkin method for Maxwell's equations: optimal L2-norm estimates
    IMA J. Numer. Anal., vol. 28, pp. 440-468, 2008
  14. R. Hartmann
    Multitarget error estimation and adaptivity in aerodynamic flow simulations
    SIAM J. Sci. Comput., vol. 31, no. 1, pp. 708-731, 2008
  15. R. Hartmann
    Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods
    In H. Deconinck, editor, VKI LS 2008-08: 35th CFD/ADIGMA course on very high order discretization methods, Oct. 13-17, 2008.
    Von Karman Institute for Fluid Dynamics, Rhode Saint Genese, Belgium (2008).
  16. R. Hartmann, P. Houston
    An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
    J. Comput. Phys., vol. 227, no. 22, pp. 9670-9685, 2008
  17. T. Heister
    Vorkonditionierunsstrategien für das stabilisierte Oseen-Problem
    Diploma thesis, University of Göttingen, Germany, 2008
  18. L. Heltai
    On the stability of the finite element immersed boundary method
    Computers and Structures, vol. 86, pp. 598-617, 2008
  19. A. Joshi, W. Bangerth, E. Sevick
    Non-Contact Fluorescence Optical Tomography with Adaptive Finite Element Methods
    In: "Mathematical Methods in Biomedical Imaging and Intensity-Modulated Radiation Therapy (IMRT)", Y. Censor, M. Jiang and A.K. Louis (eds.), pp. 185-200, Birkhäuser, 2008
  20. G. Kanschat
    Robust smoothers for high order discontinuous Galerkin discretizations of advection-diffusion problems
    J. Comput. Appl. Math., vol. 218, pp. 53-60, 2008.
    (Preprint)
  21. G. Kanschat, D. Schötzau
    Energy norm a-posteriori error estimation for divergence-free discontinuous Galerkin approximations of the Navier-Stokes equations
    Int. J. Numer. Methods Fluids, vol. 57, pp. 1093-1113, 2008. DOI: 10.1002/fld.1795
  22. D. K. Khalmanova, F. Costanzo
    A space-time discontinuous Galerkin finite element method for fully coupled linear thermo-elasto-dynamic problems with strain and heat flux discontinuities
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 1323-1342, 2008
  23. L. Khasina
    Mathematische Behandlung von Mischungen elastoplastischer Substanzen
    PhD thesis, University of Bonn, Germany, 2008
  24. M. Kronbichler, G. Kreiss
    A hybrid level–set–Cahn–Hilliard model for two-phase flow
    Proceedings of the 1st European Conference on Microfluidics, accepted for publication. Microfluidics 2008, Bologna, Italy, December 10–12, 2008.
  25. T. Leicht, R. Hartmann
    Anisotropic mesh refinement for discontinuous Galerkin methods in two-dimensional aerodynamic flow simulations
    Int. J. Numer. Meth. Fluids, vol. 56, no. 11, pp. 2111-2138, 2008
  26. J. Löwe
    Stabilisierung durch lokale Projektion für inkompressible Strömungsprobleme
    Diploma thesis, University of Göttingen, Germany, 2008
  27. M. Neytcheva and E. Bängtsson
    Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
    ETNA, vol. 29, pp. 193-211, 2008 2008
  28. J. S. Pitt, F. Costanzo
    Theory and simulation of a brittle damage model in thermoelastodynamics
    Proceedings of the 8th World Congress on Computational Mechanics (WCCM 8), Venice, Italy, 2008
  29. K. Schmid
    Theory and numerics of a reconstruction algorithm for a problem from acoustic microscopy
    Diploma thesis, Technical University of Munich, Germany, 2008
  30. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Optimal design of ultralow-platinum PEMFC anode electrodes
    Journal of The Electrochemical Society, vol. 155, pp. B125-B134, 2008
  31. M. Secanell, R. Songprakorp, A. Suleman, N. Djilali
    Multi-objective optimization of a polymer electrolyte fuel cell membrane electrode assembly
    Energy & Environmental Science, vol. 1, pp. 378-388, 2008
  32. J. A. White, R. I. Borja
    Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
    Comput. Meth. Appl. Mech. Engrg., vol. 197, pp. 4353-4366, 2008
  33. T. Wick
    Untersuchung von Kopplungsmechanismen von Fluid-Struktur-Interaktion
    Master's thesis, Universität Siegen, Germany, 2008
  34. R. Ziegler
    Modeling photon transport and reconstruction of optical properties for performance assessment of laser and fluorescence mammographs and analysis of clinical data
    PhD thesis, Freie Universität Berlin, 2008

Publications in 2007

  1. N. Antonic, M. Vrdoljak
    Gradient methods for multiple state optimal design problems
    Ann. Univ. Ferrara, vol. 53, pp. 177-187, 2007
  2. P. F. Antonietti, L. Heltai
    Numerical validation of a class of mixed discontinuous Galerkin methods for Darcy flow
    Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 4505-4520, 2007
  3. W. Bangerth, R. Hartmann, G. Kanschat
    deal.II — a general-purpose object-oriented finite element library
    ACM Transactions on Mathematical Software, vol. 33, no. 4, article 24, 2007
  4. W. Bangerth, A. Joshi, E. Sevick
    Inverse biomedical imaging using separately adapted meshes for parameters and forward model variables
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 1368-1371, 2007
  5. E. Bängtsson, M. Neytcheva
    Finite Element Block-Factorized Preconditioners
    Technical Report 2007-008, Uppsala University, Sweden, 2007
  6. D. Boffi, L. Gastaldi, L. Heltai
    On the CFL condition for the finite element immersed boundary method
    Computers & Structures, vol. 85, pp. 775-783, 2007 (DOI)
  7. D. Boffi, L. Gastaldi, L. Heltai
    Numerical stability of the finite element immersed boundary method
    Mathematical Models and Methods in Applied Sciences, vol. 17, pp. 1479-1505, 2007
  8. M. Calhoun-Lopez, M. D. Gunzburger
    The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws
    Journal of Computational Physics, vol. 225, pp. 1288-1313, 2007
  9. B. Carnes, G. F. Carey
    Estimating spatial and parameter error in parameterized nonlinear reaction-diffusion equations
    Communications in Numerical Methods in Engineering, vol. 23, pp. 835-854, 2007
  10. C. C. Douglas, M. J. Cole, P. Dostert, Y. Efendiev, R. E. Ewing, G. Haase, J. Hatcher, M. Iskandarani, C. R. Johnson, R. A. Lodder
    Dynamically identifying and tracking contaminants in water bodies
    International Conference on Computational Science ICCS 2007, vol. 4487 of Springer Lecture Notes in Computer Science, pp. 1002-1009, 2007
  11. F. Freddi, M. Frémond
    Collision and Fractures: a predictive theory
    Proceedings of the EuroSim Conference, Lubiana, Slovenia, 9-13 September, 2007
  12. P.K. Galenko, S. Reutzel, D. M. Herlach, D. Danilov, B. Nestler
    Modelling of dendritic solidification in undercooled dilute Ni-Zr melts
    Acta Materialia, vol. 55, pp. 6834-6842, 2007
  13. A. Garny, J. Cooper, P. J. Hunt
    Toward a VPH/Physiome ToolKit
    Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 2, pp. 134-147, 2010
  14. T. Ha, C. Shin
    Magnetotelluric inversion via reverse time migration algorithm of seimic data
    J. Comput. Phys., vol. 225, pp. 237-262, 2007
  15. R. Hartmann
    Adjoint consistency analysis of Discontinuous Galerkin discretizations
    SIAM J. Numer. Anal., vol. 45, no. 6, pp. 2671-2696, 2007
  16. R. Hartmann
    Error estimation and adjoint based refinement for an adjoint consistent DG discretization of the compressible Euler equations
    Int. J. Computing Science and Mathematics, vol. 1, pp. 207-220, 2007
  17. R. Hartmann
    DG discretizations for compressible flows: Adjoint consistency analysis, error estimation and adaptivity
    In R. Rannacher, E. Süli, and R. Verführt, eds., Adaptive Numerical Methods for PDEs, Mathematisches Forschungsinstitut Oberwolfach Report 29/2007, pp. 26-30, 2007
  18. P. Hepperger
    Ein POD-basierter Ansatz zur numerischen Lösung eines Datenassimilationsproblems am Beispiel einer linearen Diffusions-Konvektions-Gleichung
    Diploma thesis, Technical University of Munich, Germany, 2007
  19. Christian D. Kamm
    A posteriori error estimation in numerical methods for solving self-adjoint eigenvalue problems
    Diploma thesis, TU Berlin, Germany, 2007
  20. O. Kayser-Herold, H.G. Matthies
    A unified least-squares formulation for fluid-structure interaction problems
    Computers and Structures, vol. 85, pp. 998-1011, 2007
  21. B. Janssen,
    Vergleich verschiedener Finite-Elemente-Approximationen zur numerischen Lösung der Plattengleichung
    Diploma thesis, University of Heidelberg, Germany, 2007.
  22. A. Joshi, W. Bangerth, R. Sharma, J. Rasmussen, W. Wang, E. Sevick
    Molecular tomographic imaging of lymph nodes with NIR fluorescence
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, pp. 564-567, 2007
  23. B. Nestler, D. Danilov, A. Bracchi, Y.-L. Huang, T. Niermann, M. Seibt and S. Schneider
    A metallic glass composite: Phase-field simulations and experimental analysis of microstructure evolution
    Materials Science and Engineering: A, vol. 452-453, pp. 8-14, 2007
  24. A. Nigro
    Discontinuous Galerkin Methods for inviscid low Mach number flows
    Ph.D. thesis, University of Calabria, 2007
  25. P. J. Phillips and M. F. Wheeler
    A coupling of mixed and continuous Galerkin finite element methods for poroelasticity II: the discrete-in-time case
    Computational Geosciences, vol. 11, pp. 145-158, 2007
  26. H.-J. Reinhardt, D. N. Hào, J. Frohne and F.-T. Suttmeier
    Numerical solution of Inverse Heat Conduction Problems in two spatial dimensions
    J. Inverse and Ill-Posed Problems, vol. 5, pp. 19-36, 2007
  27. L. Röhe
    Residuale Stabilisierung für Finite Elemente Verfahren bei inkompressiblen Strömungen
    Diploma thesis, University of Göttingen, Germany, 2007
  28. M. Schmidt
    Systematic discretization of input/output maps and other contributions to the control of distributed parameter systems
    Ph.D. thesis, TU Berlin, Germany, 2007
  29. M. Secanell, B. Carnes, A. Suleman, N. Djilali
    Numerical optimization of proton exchange membrane fuel cell cathodes
    Electrochimica Acta, vol. 52, pp. 2668-2682, 2007
  30. M. Secanell, K. Karan, A. Suleman, N. Djilali
    Multi-variable optimization of PEMFC cathodes using an agglomerate model
    Electrochimica Acta, vol. 52, pp. 6318-6337, 2007
  31. M. Steigemann, M. Fulland, M. Specovius-Neugebauer, H. A. Richard
    Simulation of crack paths in functionally graded materials
    PAMM, vol. 7, pp. 4030029-4030030, 2007
  32. M. Steigemann, M. Fulland
    On the computation of the pure Neumann problem in 2-dimensional elasticity
    International Journal of Fracture, vol. 146, pp. 265-277, 2007
  33. R. Ziegler, T. Nielsen, T. Koehler, D. Grosenick, O. Steinkellner, A. Hagen, R. Macdonald, H. Rinneberg
    Reconstruction of absorption and fluorescence contrast for scanning time-domain fluorescence mammography
    Optical Tomography and Spectroscopy of Tissue VII, Proc. SPIE vol. 6434, 64340H/1-11, 2007

Publications in 2006

  1. M. Allmaras
    Optimal Design of Periodic Microstructures by the Inverse Homogenization Method
    Diploma Thesis, Technical University Munich, Germany, 2006
  2. N. Antonic, M. Vrdoljak
    Sequential laminates in multiple state optimal design problems
    Mathematical Problems in Engineering, vol. 2006, pp. 1-14, 2006
  3. P. F. Antonietti
    Domain decomposition, spectral correctness and numerical testing of discontinuous Galerkin methods
    Ph.D. thesis, University of Pavia, Italy, 2007
  4. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Institute for Parallel Processing (BIS 21++) Technical Report 2006-03, Bulgarian Academy of Sciences, 2006
  5. E. Bängtsson, B. Lund
    A comparison between two approaches to solve the equations of isostasy
    Technical Report 2006-051, Uppsala University, Sweden, 2006
  6. E. Bängtsson, M. Neytcheva
    Numerical simulations of glacial rebound using preconditioned iterative solution methods
    Applications of Mathematics, vol. 50, pp. 183-201, 2006
  7. E. Bängtsson, M. Neytcheva
    An agglomerate multilevel preconditioner for linear isostasy saddle point problems
    Proceedings of Large-Scale Scientific Computing: 5th International Conference (I. Lirkov, S. Margenov, J. Wasniewski, eds), pp. 113-120, 2006
  8. B. Carnes, N. Djilali
    Analysis of coupled proton and water transport in a PEM fuel cell using the binary friction membrane model
    Electrochimica Acta, vol. 52, pp. 1038-1052, 2007
  9. D. Danilov, B. Nestler
    Phase-field simulations of eutectic solidification using an adaptive finite element method
    International Journal of Modern Physics B, vol. 20, pp. 853-867, 2006
  10. J. Frohne
    Numerische Lösung des inversen Wärmeleitproblems in zwei Ortsdimensionen zur Identifizierung von Randbedingungen
    Diploma thesis, Universität Siegen, Germany, 2009
  11. M. Grote, A. Schneebeli, D. Schötzau
    Discontinuous Galerkin Finite Element Method for the Wave Equation
    SIAM J. Numer. Anal, vol. 44, pp. 2408-2431, 2006
  12. T. Ha, C. Shin
    Two dimensional magnetotelluric inversion via reverse time migration algorithm
    Abstracts of the SEG Annual Meeting in New Orleans, pp. 830-835, 2006
  13. R. Hartmann
    Error estimation and adjoint-based adaptation in aerodynamics
    In P. Wesseling, E. Onate, J. Periaux, eds., Proceedings of the ECCOMAS CFD 2006, Sept. 5-8, Egmond aan Zee, The Netherlands, 2006
  14. R. Hartmann
    Derivation of an adjoint consistent discontinuous Galerkin discretization of the compressible Euler equations
    In G. Lube and G. Rapin, eds., Proceedings of the BAIL 2006 Conference, 2006
  15. R. Hartmann
    Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations
    Int. J. Numer. Meth. Fluids, vol. 51, pp. 1131-1156, 2006
  16. R. Hartmann, P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation
    Int. J. Numer. Anal. Model., vol. 3, pp. 1-20, 2006.
  17. R. Hartmann, P. Houston
    Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal-Oriented A Posteriori Error Estimation
    Int. J. Numer. Anal. Model., vol. 3, pp. 141-162, 2006
  18. L. Heltai
    The Finite Element Immersed Boundary Method
    Ph.D. thesis, Università di Pavia, Dipartimento di Matematica "F. Casorati", 2006
  19. K. Hwang, T. Pan, A. Joshi, J. C. Rasmussen, W. Bangerth, E. Sevick-Muraca
    Influence of excitation light rejection on forward model mismatch in optical tomography
    Phys. Med. Biol., vol. 51, pp. 5889-5902, 2006
  20. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning patterned illumination
    Optics Express, vol. 14, pp. 6516-6534, 2006
  21. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Fully adaptive FEM based fluorescence optical tomography from time-dependent measurements with area illumination and detection
    Med. Phys., vol. 33, pp. 1299-1310, 2006
  22. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Non-contact fluorescence optical tomography with scanning illumination
    Proceedings of the IEEE International Symposium on Biomedical Imaging, Arlington, VA, 2006, pp. 582-585, 2006
  23. A. Joshi, W. Bangerth, K. Hwang, J. C. Rasmussen, E. Sevick-Muraca
    Plane wave fluorescence tomography with adaptive finite elements
    Optics Letters, vol. 31, pp. 193-195, 2006
  24. O. Kayser-Herold
    Least-Squares Methods for the Solution of Fluid-Structure Interaction Problems
    Ph.D. thesis, TU-Braunschweig, Germany, 2006
    Available online through this link
  25. T. Leicht
    Anisotropic Mesh Refinement for Discontinuous Galerkin Methods in Aerodynamic Flow Simulations
    Diploma thesis, TU Dresden, 2006
    Available online through this link
  26. D. Oeltz
    Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen
    Ph.D. thesis, University of Bonn, Germany, 2006
  27. M. Schmidt
    Low-dimensional I/O modeling of distributed parameter systems
    Proc. Appl. Math. Mech., vol. 6, pp. 15-18, 2006

Publications in 2005

  1. M. Anderson, W. Bangerth, G. Carey
    Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations
    International Journal for Numerical Methods in Fluids, vol. 48, pp. 583-605, 2005
  2. W. Bangerth, A. Joshi, E. Sevick-Muraca
    Adaptive finite element methods for increased resolution in fluorescence optical tomography
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 318-329, 2005
  3. D. Boffi, L. Gastaldi, L. Heltai
    The finite element immersed boundary method: model, stability, and numerical results
    In Schrefler Papadrakakis, Onate, eds., Computational Methods for Coupled Problems in Science and Engineering, 2005
  4. D. Boffi, L. Gastaldi, L. Heltai
    Stability results and algorithmic strategies for the finite element approach to the immersed boundary method
    Proceeding of the Sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2005), pages 557-566, 2005
  5. M. Calhoun-Lopez, M. D. Gunzburger
    A Finite Element, Multiresolution Viscosity Method for Hyperbolic Conservation Laws
    SIAM J. Numer. Anal., vol. 43, pp. 1988-2011, 2005
  6. B. Carnes, N. Djilali
    Systematic parameter estimation for PEM fuel cell models
    Journal of Power Sources, vol. 144, pp. 83-93, 2005
  7. B. Cockburn, G. Kanschat, D. Schötzau
    A locally conservative LDG method for the incompressible Navier- Stokes equations
    Math. Comput., vol. 74, pp. 1067-1095, 2005
  8. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for Linear Incomressible Fluid Flow: a Review
    Comput. & Fluids, vol. 34, pp. 491-506, 2005
  9. R. Hartmann
    Discontinuous Galerkin methods for compressible flows: higher order accuracy, error estimation and adaptivity
    In H. Deconinck and M. Ricchiuto, editors, VKI LS 2006-01: CFD - Higher Order Discretization Methods, November 14-18, 2005, Rhode Saint Genese, Belgium.
    von Karman Institute for Fluid Dynamics (2005)
  10. A. Joshi
    Adaptive finite element methods for fluorescence enhanced optical tomography
    Ph.D. thesis, Texas A&M University, 2005
  11. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Experimental fluorescence optical tomography using adaptive finite elements and planar illumination with modulated excitation light
    Progress in Biomedical Optics and Imaging, vol. 6, pp. 351-358, 2005
  12. G. Kanschat
    Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
    J. Sci. Comput., vol. 22, pp. 381-394, 2005
  13. O. Kayser-Herold, H. G. Matthies
    Least squares finite element methods for fluid-structure interaction problems
    Computers & Structures, vol. 83, pp. 191-207, 2005
  14. R. Li
    On multi-mesh h-adaptive methods
    J. Sci. Comput., vol. 24, pp. 321-341, 2005
    (This paper uses AFEPack which in turn uses deal.II's linear algebra library.)
  15. M. Mu
    PDE.MART: A network-based problem-solving environment for PDEs
    ACM Trans. Math. Software, vol. 31, pp. 508-531, 2005
  16. B. Nestler, D. Danilov, P. Galenko
    Crystal growth of pure substances: Phase-field simulations in comparison with analytical and experimental results
    Journal of Computational Physics, vol. 207, pp. 221-239, 2005
  17. T. Nielsen, T. Koehler, M. van der Mark, G. t'Hooft
    Fully 3D reconstruction of attenuation for diffuse optical tomography using a finite element model
    Nuclear Science Symposium Record, vol. 4, pp. 2283-2285, 2005
  18. Q. Ouyang, K. Xiu
    Simulation Study of Reduced Self-Heating in Novel Thin-SOI Vertical Bipolar Transistors
    Simulation of Semiconductor Processes and Devices, pp. 55-58, 2005
  19. M. Polner
    Galerkin least-squares stabilization operators for the Navier-Stokes equations, A unified approach
    Ph.D. thesis, University of Twente, The Netherlands, 2005
  20. R. B. Schulz, G. Echner, H. Ruehle, W. Stroh, J. Vierling, T. Vogt, J. Peter, W. Semmler
    Development of a fully rotational non-contact fluorescence tomographer for small animals
    IEEE Micro-imaging Conference, IEEE Nuclear Science Symposium Conference Record, pp. 2391-2393, 2005
  21. R. B. Schulz, J. Peter, W. Semmler, C. D'andrea, G. Valentini, R. Cubeddu
    Quantifiability and Image Quality in Noncontact Fluorescence Tomography
    in: Photon Migration and Diffuse-Light Imaging II, K. Licha and R. Cubeddu (eds.), SPIE press, 2005

Publications in 2004

  1. W. Bangerth,
    A framework for the adaptive finite element solution of large inverse problems. I. Basic techniques
    ICES Report 2004-39, 2004.
  2. W. Bangerth, M. Grote, C. Hohenegger
    Finite Element Method For Time Dependent Scattering: Nonreflecting Boundary Condition, Adaptivity, and Energy Decay
    Computer Methods in Applied Mechanics and Engineering, vol. 193, pp. 2453-2482, 2004
  3. D. Boffi, L. Gastaldi, L. Heltai
    A finite element approach to the immersed boundary method
    Progress in Engineering Computational Technology, vol. 12, pp. 271-298, 2004
  4. G. Carey, M. Anderson, B. Carnes, B. Kirk
    Some aspects of adaptive grid technology related to boundary and interior layers
    Journal of Computational and Applied Mathematics, vol. 166, pp. 55-86, 2004
  5. G. Carey, W. Barth, J. A. Woods, B. Kirk, M. Anderson, S. Chow, W. Bangerth
    Modeling error and constitutive relations in simulation of flow and transport
    International Journal for Numerical Methods in Fluids, vol. 46, pp. 1211-1236, 2004
  6. S. Chow, G. F. Carey, M. L. Anderson
    Finite element approximations of a glaciology problem.
    ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), vol. 38, pp. 741-756, 2004.
  7. C. Fröbel
    Tikhonov-Regularisierung zur Parameteridentifikation bei elliptischen und parabolischen Modellgleichungen.
    Diploma thesis, Universität Bremen, Germany, 2004
  8. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in M. Feistauer, V. Doleji, P. Knobloch and K. Najzar, editors, Numerical Mathematics and Advanced Applications, ENUMATH 2003, pp. 410-419, Springer-Verlag, 2004
  9. U. Hasler, A. Schneebeli, D. Schötzau
    Mixed finite element approximation of incompressible MHD problems based on weighted regularization
    Applied Numerical Mathematics, vol. 51, pp. 19-45, 2004
  10. A. Joshi, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element modeling of optical fluorescence-enhanced tomography
    Optics Express, vol. 12, pp. 5402-5417, 2004
  11. A. Joshi, A. B. Thompson, W. Bangerth, E. Sevick-Muraca
    Adaptive finite element methods for forward modeling in fluorescence enhanced frequency domain optical tomography
    Proceedings of the 2004 OSA Biomedical Topical Meetings, 2004
  12. A. Joshi, W. Bangerth, A. B. Thompson, E. Sevick-Muraca
    Adaptive finite element methods for fluorescence enhanced frequency domain optical tomography: Forward imaging problem
    Proceedings of the 2004 IEEE International Symposium on Biomedical Imaging, 2004
  13. G. Kanschat
    Multi-level methods for discontinuous Galerkin FEM on locally refined meshes
    Comput. & Struct., vol. 82, pp. 2437-2445, 2004
  14. J. Ramirez, M. Laso
    Micro-macro simulations of three-dimensional plane contraction flow
    Modelling Simul. Mater. Sci. Eng., vol. 12, pp. 1293-1306, 2004
  15. R. B. Schulz, W. Bangerth, J. Peter, W. Semmler
    Independent modeling of fluorescence excitation and emission with the finite element method
    Proceedings of the OSA BIOMED topical meeting, Miami, Florida, 14-18 April 2004
  16. E. Zander, J. R. Weimar, H. G. Mathies
    Simulation of High-Frequency Atmospheric Gas Discharges
    PAMM, vol. 4, pp. 428-429, 2004

Publications in 2003

  1. S. Achatz
    Adaptive finite Dünngitter-Elemente höherer Ordnung für elliptische partielle Differentialgleichungen mit variablen Koeffizienten
    Ph.D. thesis, TU Munich, 2003
  2. W. Bangerth
    Starting threads in a C++ compatible fashion
    C/C++ Users Journal, October 2003, pp. 21-24
  3. W. Bangerth, R. Rannacher
    Adaptive Finite Element Methods for Solving Differential Equations
    Book, Birkhäuser, 2003
  4. M. Calhoun-Lopez
    Numerical solutions of hyperbolic conservation laws: Incorporating multi-resolution viscosity methods into the finite element framework
    Ph.D. thesis, Iowa State University, 2003
  5. B. Carnes
    Adaptive finite elements for nonlinear transport equations
    Ph.D. thesis, ICES, The University of Texas at Austin, 2003
  6. B. Cockburn, G. Kanschat, D. Schötzau
    LDG methods for Stokes flow problems
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
  7. B. Cockburn, G. Kanschat, D. Schötzau
    The Local Discontinuous Galerkin Method for the Oseen Equations
    Math. Comput., vol. 73, pp. 569-593, 2003
  8. J. Gopalakrishnan, G. Kanschat
    Application of unified DG analysis to preconditioning DG methods
    in Bathe: Computational Fluid and Solid Mechanics, pp. 1943-1945, 2003
  9. J. Gopalakrishnan, G. Kanschat
    A Multilevel Discontinuous Galerkin Method
    Numer. Math., vol. 95, pp. 527-550, 2003
  10. Jay Gopalakrishnan, G. Kanschat
    Multi-level Preconditioners for the interior penalty method
    in Brezzi, Buffa, Corsaro, Murli: Numerical Mathematics and Advanced Applications: ENUMATH 2001, Springer Italia, 2003
  11. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
    in T. Y. Hou and E. Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pp. 579-588, Springer, 2003
  12. R. Hartmann, P. Houston
    Goal-Oriented A Posteriori Error Estimation for Compressible Fluid Flows
    In F. Brezzi, A. Buffa, S. Corsaro and A. Murli, editors, Numerical Mathematics and Advanced Applications, pp. 775-784, Springer, 2003
  13. G. Kanschat
    Discontinuous Galerkin Finite Element Methods for Advection-Diffusion Problems
    Habilitationsschrift, Universität Heidelberg, 2003
  14. G. Kanschat
    Preconditioning discontinuous Galerkin saddle point systems
    in Bathe: Computational Fluid and Solid Mechanics, pp. 2016-2018, 2003
  15. G. Kanschat
    Preconditioning methods for local discontinuous {G}alerkin Discretizations
    SIAM J. Sci. Comput., vol. 25, pp. 815-831, 2003
  16. A. Schneebeli, D. Schötzau
    Mixed finite elements for incompressible magneto-hydrodynamics
    Comptes Rendus Mathematique, vol. 337, pp. 71-74, 2003
  17. M. Stadler, G. A. Holzapfel, J. Korelc
    Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems
    International Journal for Numerical Methods in Engineering, vol. 57, pp. 2177-2203, 2003

Publications in 2002

  1. W. Bangerth
    Adaptive Finite Element Methods for the Identification of Distributed Parameters in Partial Differential Equations
    Ph.D. thesis, University of Heidelberg, 2002
  2. S. Benkler
    Numerical solution of the nonlinear Hartree equation.
    Diploma thesis, ETH Zurich, Switzerland, 2002.
  3. B. Cockburn, G. Kanschat, D. Schötzau
    The local discontinuous Galerkin method in incompressible fluid flow
    in Mang, Rammerstorfer, Eberhardsteiner: Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), Vienna University of Technology, 2002
  4. B. Cockburn, G. Kanschat, D. Schötzau, C. Schwab
    Local discontinuous Galerkin methods for the Stokes system
    SIAM J. Numer. Anal., vol. 40, pp. 319-343, 2002
  5. R. Hartmann
    Adaptive Finite Element Methods for the Compressible Euler Equations
    Ph.D. thesis, University of Heidelberg, 2002
  6. R. Hartmann, P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for the Compressible Euler Equations
    J. Comput. Phys., vol. 183, pp. 508-532, 2002.
  7. R. Hartmann, P. Houston
    Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
    SIAM J. Sci. Comput., vol. 24, pp. 979-1004, 2002.
  8. G. Kanschat, Rolf Rannacher
    Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems
    J. Numer. Math., vol. 10, pp. 249-274, 2002
  9. F. Mohamed, M. Troyer, G. Blatter
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Phys. Rev. B, vol. 65, article 224504, 2002.
  10. T. Shardlow
    A coupled Cahn-Hilliard particle system
    Electronic Journal of Differential Equations, vol. 2002, No. 73, pp. 1-21, 2002
  11. M. Stadler, G. A. Holzapfel
    A novel approach for smooth contact surfaces using NURBS: application to the FE simulation of stenting
    Proceedings of the 13th Conference of the European Society of Biomechanics, 1-4 September 2002, Wroclaw, Poland.

Publications in 2001

  1. A. Barinka, T. Barsch, P. Charton, A. Cohen, S. Dahlke, W. Dahmen, K. Urban
    Adaptive wavelet schemes for elliptic problems—implementation and numerical experiments
    SIAM J. Sci. Comput., vol. 23, pp. 910-939, 2001
  2. B. Cockburn, G. Kanschat, Ilaria Perugia, D. Schötzau
    Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
    SIAM J. Numer. Anal. 39 (1), pp. 264-285, 2001
  3. T. Richter
    Funktionalorientierte Gitteroptimierung bei der Finite-Elemente Approximation elliptischer Differentialgleichungen
    Diploma thesis, University of Heidelberg, 2001 (in German)

Publications in 2000

  1. W. Bangerth
    Mesh Adaptivity and Error Control for a Finite Element Approximation of the Elastic Wave Equation
    Proceedings of the Waves2000 conference, held in Santiago de Compostela, Spain, July 10-14, 2000
  2. W. Bangerth
    Multi-threading support in deal.II
    Preprint 2000-11 (SFB 359), IWR Heidelberg, October 1999.
  3. W. Bangerth
    Using Modern Features of C++ for Adaptive Finite Element Methods: Dimension-Independent Programming in deal.II
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000
  4. R. Hartmann
    Adaptive FE-Methods for Conservation Equations
    In Heinrich Freistühler and Gerald Warnecke, eds. Hyperbolic problems: theory, numerics, applications: eighth international conference in Magdeburg, 2000.
    International series of numerical mathematics 141: 495-503. Birkhäuser, Basel 2001.
  5. F. Mohamed
    Interaction of vortices in superconductors with kappa close to 1/sqrt(2),
    Diploma thesis, ETH Zurich, 2000.

Publications in 1999

  1. W. Bangerth and G. Kanschat
    Concepts for object-oriented finite element software - the deal.II library
    Preprint 99-43 (SFB 359), IWR Heidelberg, October 1999.
  2. W. Bangerth, R. Rannacher
    Adaptive finite element approximation of the acoustic wave equation: Error estimation and mesh adaptation
    East-West Journal of Numerical Mathematics, vol. 7, no. 4 (1999), pp. 263-282
  3. W. Bangerth, R. Rannacher
    Adaptive finite element techniques for the acoustic wave equation
    Journal of Computational Acoustics, vol. 9, no. 2 (2001), pp. 575-591
  4. S. Nauber
    Adaptive Finite Elemente Verfahren für selbstadjungierte Eigenwertprobleme
    Diploma thesis, University of Heidelberg, 1999 (in German)

Publications in 1998

  1. W. Bangerth
    Adaptive Finite-Elemente-Methoden zur Lösung der Wellengleichung mit Anwendung in der Physik der Sonne
    Diploma thesis, University of Heidelberg, 1998 (in German)

The deal.II Authors
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