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Reference documentation for deal.II version 9.2.0
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Reference documentation for deal.II version 9.2.0
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#include <deal.II/matrix_free/operators.h>
Public Types | |
| using | value_type = typename OperatorType::value_type |
| using | size_type = typename OperatorType::size_type |
Public Member Functions | |
| MGInterfaceOperator () | |
| void | clear () |
| void | initialize (const OperatorType &operator_in) |
| template<typename VectorType > | |
| void | vmult (VectorType &dst, const VectorType &src) const |
| template<typename VectorType > | |
| void | Tvmult (VectorType &dst, const VectorType &src) const |
| template<typename VectorType > | |
| void | initialize_dof_vector (VectorType &vec) const |
 Public Member Functions inherited from Subscriptor | |
| Subscriptor () | |
| Subscriptor (const Subscriptor &) | |
| Subscriptor (Subscriptor &&) noexcept | |
| virtual | ~Subscriptor () |
| Subscriptor & | operator= (const Subscriptor &) |
| Subscriptor & | operator= (Subscriptor &&) noexcept |
| void | subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
| void | unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const |
| unsigned int | n_subscriptions () const |
| template<typename StreamType > | |
| void | list_subscribers (StreamType &stream) const |
| void | list_subscribers () const |
| template<class Archive > | |
| void | serialize (Archive &ar, const unsigned int version) |
Private Attributes | |
| SmartPointer< const OperatorType > | mf_base_operator |
Additional Inherited Members | |
| Static Public Member Functions inherited from Subscriptor | |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
Auxiliary class to provide interface vmult/Tvmult methods required in adaptive geometric multgrids. OperatorType class should be derived from MatrixFreeOperators::Base class.
The adaptive multigrid realization in deal.II implements an approach called local smoothing. This means that the smoothing on the finest level only covers the local part of the mesh defined by the fixed (finest) grid level and ignores parts of the computational domain where the terminal cells are coarser than this level. As the method progresses to coarser levels, more and more of the global mesh will be covered. At some coarser level, the whole mesh will be covered. Since all level matrices in the multigrid method cover a single level in the mesh, no hanging nodes appear on the level matrices. At the interface between multigrid levels, homogeneous Dirichlet boundary conditions are set while smoothing. When the residual is transferred to the next coarser level, however, the coupling over the multigrid interface needs to be taken into account. This is done by the so-called interface (or edge) matrices that compute the part of the residual that is missed by the level matrix with homogeneous Dirichlet conditions. We refer to the Multigrid paper by Janssen and Kanschat for more details.
For the implementation of those interface matrices, most infrastructure is already in place and provided by MatrixFreeOperators::Base through the two multiplication routines vmult_interface_down() and vmult_interface_up(). The only thing MGInterfaceOperator does is wrapping those operations and make them accessible via vmult() and Tvmult interface as expected by the multigrid routines (that were originally written for matrices, hence expecting those names). Note that the vmult_interface_down is used during the restriction phase of the multigrid V-cycle, whereas vmult_interface_up is used during the prolongation phase.
Definition at line 539 of file operators.h.
| using MatrixFreeOperators::MGInterfaceOperator< OperatorType >::value_type = typename OperatorType::value_type |
Number alias.
Definition at line 545 of file operators.h.
| using MatrixFreeOperators::MGInterfaceOperator< OperatorType >::size_type = typename OperatorType::size_type |
Size type.
Definition at line 550 of file operators.h.
| MatrixFreeOperators::MGInterfaceOperator< OperatorType >::MGInterfaceOperator |
Default constructor.
Definition at line 1684 of file operators.h.
| void MatrixFreeOperators::MGInterfaceOperator< OperatorType >::clear |
Clear the pointer to the OperatorType object.
Definition at line 1693 of file operators.h.
| void MatrixFreeOperators::MGInterfaceOperator< OperatorType >::initialize | ( | const OperatorType & | operator_in | ) |
Initialize this class with an operator operator_in.
Definition at line 1702 of file operators.h.
| void MatrixFreeOperators::MGInterfaceOperator< OperatorType >::vmult | ( | VectorType & | dst, |
| const VectorType & | src | ||
| ) | const |
vmult operator, see class description for more info.
Definition at line 1712 of file operators.h.
| void MatrixFreeOperators::MGInterfaceOperator< OperatorType >::Tvmult | ( | VectorType & | dst, |
| const VectorType & | src | ||
| ) | const |
Tvmult operator, see class description for more info.
Definition at line 1732 of file operators.h.
| void MatrixFreeOperators::MGInterfaceOperator< OperatorType >::initialize_dof_vector | ( | VectorType & | vec | ) | const |
A wrapper for initialize_dof_vector() of OperatorType object.
Definition at line 1752 of file operators.h.
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private |
Const pointer to the operator class.
Definition at line 595 of file operators.h.
1.8.17