Reference documentation for deal.II version 8.4.1
Namespaces | Classes | Enumerations
Numerical algorithms




class  KellyErrorEstimator< dim, spacedim >
class  SolutionTransfer< dim, VectorType, DoFHandlerType >
struct  SolutionTransfer< dim, VectorType, DoFHandlerType >::Pointerstruct


enum  KellyErrorEstimator< dim, spacedim >::Strategy { KellyErrorEstimator< dim, spacedim >::cell_diameter_over_24 = 0, KellyErrorEstimator< dim, spacedim >::face_diameter_over_twice_max_degree }
enum  SolutionTransfer< dim, VectorType, DoFHandlerType >::PreparationState
enum  VectorTools::NormType {
  VectorTools::mean, VectorTools::L1_norm, VectorTools::L2_norm, VectorTools::Lp_norm,
  VectorTools::Linfty_norm, VectorTools::H1_seminorm, VectorTools::Hdiv_seminorm, VectorTools::H1_norm,
  VectorTools::W1p_seminorm, VectorTools::W1p_norm, VectorTools::W1infty_seminorm, VectorTools::W1infty_norm

Detailed Description

This module groups a diverse set of classes that generally implement some sort of numerical algorithm on top all the basic triangulation, DoFHandler, and finite element classes in the library. They are generally unconnected to each other.

Some of the classes, like DerivativeApproximation, KellyErrorEstimator and SolutionTransfer, act on solutions already obtained, and compute derived quantities in the first two cases, or help transferring a set of vectors from one mesh to another.

The namespaces MatrixCreator, MatrixTools, and VectorTools provide an assortment of services, such as creating a Laplace matrix, projecting or interpolating a function onto the present finite element space, etc. The difference to the functions in the DoFTools and FETools functions is that they work on vectors (i.e. members of a finite element function space on a given triangulation) or help in the creation of it. On the other hand, the DoFTools functions only act on a given DoFHandler object without reference to a data vector, and the FETools objects generally work with finite element classes but again without any associated data vectors.

Enumeration Type Documentation

template<int dim, int spacedim = dim>
enum KellyErrorEstimator::Strategy

The enum type given to the class functions to decide on the scaling factors of the facial integrals.


Kelly error estimator with the factor \(\frac {h}{24}\).


the boundary residual estimator with the factor \(\frac {h_F}{2 max(p^+,p^-)}\).

Definition at line 260 of file error_estimator.h.

template<int dim, typename VectorType = Vector<double>, typename DoFHandlerType = DoFHandler<dim>>
enum SolutionTransfer::PreparationState

Declaration of PreparationState that denotes the three possible states of the SolutionTransfer: being prepared for 'pure refinement', prepared for 'coarsening and refinement' or not prepared.

Definition at line 434 of file solution_transfer.h.

Denote which norm/integral is to be computed by the integrate_difference() function of this namespace. The following possibilities are implemented:


The function or difference of functions is integrated on each cell.


The absolute value of the function is integrated.


The square of the function is integrated and the the square root of the result is computed on each cell.


The absolute value to the pth power is integrated and the pth root is computed on each cell. The exponent p is the last parameter of the function.


The maximum absolute value of the function.


L2_norm of the gradient.


L2_norm of the divergence of a vector field


The square of this norm is the square of the L2_norm plus the square of the H1_seminorm.


Lp_norm of the gradient.


same as H1_norm for Lp.


Linfty_norm of the gradient.


same as H1_norm for Linfty.

Definition at line 324 of file vector_tools.h.