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Reference documentation for deal.II version 9.4.1
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Reference documentation for deal.II version 9.4.1
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#include <deal.II/multigrid/mg_transfer_matrix_free.h>
Public Member Functions | |
| MGTransferMatrixFree () | |
| MGTransferMatrixFree (const MGConstrainedDoFs &mg_constrained_dofs) | |
| virtual | ~MGTransferMatrixFree () override=default |
| void | initialize_constraints (const MGConstrainedDoFs &mg_constrained_dofs) |
| void | clear () |
| void | build (const DoFHandler< dim, dim > &dof_handler, const std::vector< std::shared_ptr< const Utilities::MPI::Partitioner > > &external_partitioners=std::vector< std::shared_ptr< const Utilities::MPI::Partitioner > >()) |
| void | build (const DoFHandler< dim, dim > &dof_handler, const std::function< void(const unsigned int, LinearAlgebra::distributed::Vector< Number > &)> &initialize_dof_vector) |
| virtual void | prolongate (const unsigned int to_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const override |
| virtual void | prolongate_and_add (const unsigned int to_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const override |
| virtual void | restrict_and_add (const unsigned int from_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const override |
| template<typename Number2 , int spacedim> | |
| void | interpolate_to_mg (const DoFHandler< dim, spacedim > &dof_handler, MGLevelObject< LinearAlgebra::distributed::Vector< Number > > &dst, const LinearAlgebra::distributed::Vector< Number2 > &src) const |
| std::size_t | memory_consumption () const |
| template<int dim, typename Number2 , int spacedim> | |
| void | copy_to_mg (const DoFHandler< dim, spacedim > &dof_handler, MGLevelObject< LinearAlgebra::distributed::Vector< Number > > &dst, const LinearAlgebra::distributed::Vector< Number2 > &src) const |
| template<int dim, typename Number2 , int spacedim> | |
| void | copy_from_mg (const DoFHandler< dim, spacedim > &dof_handler, LinearAlgebra::distributed::Vector< Number2 > &dst, const MGLevelObject< LinearAlgebra::distributed::Vector< Number > > &src) const |
| template<int dim, typename Number2 , int spacedim> | |
| void | copy_from_mg_add (const DoFHandler< dim, spacedim > &dof_handler, LinearAlgebra::distributed::Vector< Number2 > &dst, const MGLevelObject< LinearAlgebra::distributed::Vector< Number > > &src) const |
| void | set_component_to_block_map (const std::vector< unsigned int > &map) |
| void | print_indices (std::ostream &os) const |
| virtual void | prolongate_and_add (const unsigned int to_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const |
Static Public Member Functions | |
| static ::ExceptionBase & | ExcNoProlongation () |
Protected Member Functions | |
| template<int dim, typename Number2 , int spacedim> | |
| void | copy_to_mg (const DoFHandler< dim, spacedim > &dof_handler, MGLevelObject< LinearAlgebra::distributed::Vector< Number > > &dst, const LinearAlgebra::distributed::Vector< Number2 > &src, const bool solution_transfer) const |
| template<int dim, int spacedim> | |
| void | fill_and_communicate_copy_indices (const DoFHandler< dim, spacedim > &dof_handler) |
Private Member Functions | |
| template<int degree> | |
| void | do_prolongate_add (const unsigned int to_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const |
| template<int degree> | |
| void | do_restrict_add (const unsigned int from_level, LinearAlgebra::distributed::Vector< Number > &dst, const LinearAlgebra::distributed::Vector< Number > &src) const |
| template<int dim, int spacedim> | |
| void | assert_built (const DoFHandler< dim, spacedim > &dof_handler) const |
Private Attributes | |
| unsigned int | fe_degree |
| bool | element_is_continuous |
| unsigned int | n_components |
| unsigned int | n_child_cell_dofs |
| std::vector< std::vector< unsigned int > > | level_dof_indices |
| std::vector< std::vector< std::pair< unsigned int, unsigned int > > > | parent_child_connect |
| std::vector< unsigned int > | n_owned_level_cells |
| AlignedVector< VectorizedArray< Number > > | prolongation_matrix_1d |
| AlignedVector< VectorizedArray< Number > > | evaluation_data |
| std::vector< AlignedVector< VectorizedArray< Number > > > | weights_on_refined |
| std::vector< std::vector< std::vector< unsigned short > > > | dirichlet_indices |
| MGLevelObject< std::shared_ptr< const Utilities::MPI::Partitioner > > | vector_partitioners |
Subscriptor functionality | |
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class. | |
| std::atomic< unsigned int > | counter |
| std::map< std::string, unsigned int > | counter_map |
| std::vector< std::atomic< bool > * > | validity_pointers |
| const std::type_info * | object_info |
| 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) |
| static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
| static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
| void | check_no_subscribers () const noexcept |
| using | map_value_type = decltype(counter_map)::value_type |
| using | map_iterator = decltype(counter_map)::iterator |
| static std::mutex | mutex |
Implementation of the MGTransferBase interface for which the transfer operations is implemented in a matrix-free way based on the interpolation matrices of the underlying finite element. This requires considerably less memory than MGTransferPrebuilt and can also be considerably faster than that variant.
This class currently only works for tensor-product finite elements based on FE_Q and FE_DGQ elements, including systems involving multiple components of one of these elements. Systems with different elements or other elements are currently not implemented.
Definition at line 54 of file mg_transfer_matrix_free.h.
| MGTransferMatrixFree< dim, Number >::MGTransferMatrixFree |
Constructor without constraint matrices. Use this constructor only with discontinuous finite elements or with no local refinement.
Definition at line 44 of file mg_transfer_matrix_free.cc.
| MGTransferMatrixFree< dim, Number >::MGTransferMatrixFree | ( | const MGConstrainedDoFs & | mg_constrained_dofs | ) |
Constructor with constraints. Equivalent to the default constructor followed by initialize_constraints().
Definition at line 54 of file mg_transfer_matrix_free.cc.
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overridevirtualdefault |
Destructor.
| void MGTransferMatrixFree< dim, Number >::initialize_constraints | ( | const MGConstrainedDoFs & | mg_constrained_dofs | ) |
Initialize the constraints to be used in build().
Definition at line 68 of file mg_transfer_matrix_free.cc.
| void MGTransferMatrixFree< dim, Number >::clear |
Reset the object to the state it had right after the default constructor.
Definition at line 78 of file mg_transfer_matrix_free.cc.
| void MGTransferMatrixFree< dim, Number >::build | ( | const DoFHandler< dim, dim > & | dof_handler, |
| const std::vector< std::shared_ptr< const Utilities::MPI::Partitioner > > & | external_partitioners = std::vector<std::shared_ptr<const Utilities::MPI::Partitioner>>() |
||
| ) |
Actually build the information for the prolongation for each level.
The optional second argument of external partitioners allows the user to suggest vector partitioning on the levels. In case the partitioners are found to contain all ghost unknowns that are visited through the transfer, the given partitioners are chosen. This ensures compatibility of vectors during prolongate and restrict with external partitioners as given by the user, which in turn saves some copy operations. However, in case there are unknowns missing – and this is typically the case at some point during h-coarsening since processors will need to drop out and thus children's unknowns on some processor will be needed as ghosts to a parent cell on another processor – the provided external partitioners are ignored and internal variants are used instead.
Definition at line 99 of file mg_transfer_matrix_free.cc.
| void MGTransferMatrixFree< dim, Number >::build | ( | const DoFHandler< dim, dim > & | dof_handler, |
| const std::function< void(const unsigned int, LinearAlgebra::distributed::Vector< Number > &)> & | initialize_dof_vector | ||
| ) |
Same as above but taking a lambda for initializing vector instead of partitioners.
Definition at line 206 of file mg_transfer_matrix_free.cc.
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overridevirtual |
Prolongate a vector from level to_level-1 to level to_level using the embedding matrices of the underlying finite element. The previous content of dst is overwritten.
| to_level | The index of the level to prolongate to, which is the level of dst. |
| src | is a vector with as many elements as there are degrees of freedom on the coarser level involved. |
| dst | has as many elements as there are degrees of freedom on the finer level. |
Implements MGTransferBase< LinearAlgebra::distributed::Vector< Number > >.
Definition at line 239 of file mg_transfer_matrix_free.cc.
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overridevirtual |
Definition at line 252 of file mg_transfer_matrix_free.cc.
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overridevirtual |
Restrict a vector from level from_level to level from_level-1 using the transpose operation of the prolongate() method. If the region covered by cells on level from_level is smaller than that of level from_level-1 (local refinement), then some degrees of freedom in dst are active and will not be altered. For the other degrees of freedom, the result of the restriction is added.
| from_level | The index of the level to restrict from, which is the level of src. |
| src | is a vector with as many elements as there are degrees of freedom on the finer level involved. |
| dst | has as many elements as there are degrees of freedom on the coarser level. |
Implements MGTransferBase< LinearAlgebra::distributed::Vector< Number > >.
Definition at line 331 of file mg_transfer_matrix_free.cc.
| void MGTransferMatrixFree< dim, Number >::interpolate_to_mg | ( | const DoFHandler< dim, spacedim > & | dof_handler, |
| MGLevelObject< LinearAlgebra::distributed::Vector< Number > > & | dst, | ||
| const LinearAlgebra::distributed::Vector< Number2 > & | src | ||
| ) | const |
Interpolate fine-mesh field src to each multigrid level in dof_handler and store the result in dst. This function is different from restriction, where a weighted residual is transferred to a coarser level (transposition of prolongation matrix).
The argument dst has to be initialized with the correct size according to the number of levels of the triangulation.
If an inner vector of dst is empty or has incorrect locally owned size, it will be resized to locally relevant degrees of freedom on each level.
The use of this function is demonstrated in step-66.
| std::size_t MGTransferMatrixFree< dim, Number >::memory_consumption |
Memory used by this object.
Definition at line 691 of file mg_transfer_matrix_free.cc.
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private |
Perform the prolongation operation.
Definition at line 410 of file mg_transfer_matrix_free.cc.
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private |
Performs the restriction operation.
Definition at line 558 of file mg_transfer_matrix_free.cc.
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inherited |
Transfer from a vector on the global grid to vectors defined on each of the levels separately for the active degrees of freedom. In particular, for a globally refined mesh only the finest level in dst is filled as a plain copy of src. All the other level objects are left untouched.
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protectedinherited |
Internal function to perform transfer of residuals or solutions basesd on the flag solution_transfer.
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inherited |
Transfer from multi-level vector to normal vector.
Copies data from active portions of an MGVector into the respective positions of a Vector<number>. In order to keep the result consistent, constrained degrees of freedom are set to zero.
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inherited |
Add a multi-level vector to a normal vector.
Works as the previous function, but probably not for continuous elements.
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inherited |
If this object operates on BlockVector objects, we need to describe how the individual vector components are mapped to the blocks of a vector. For example, for a Stokes system, we have dim+1 vector components for velocity and pressure, but we may want to use block vectors with only two blocks for all velocities in one block, and the pressure variables in the other.
By default, if this function is not called, block vectors have as many blocks as the finite element has vector components. However, this can be changed by calling this function with an array that describes how vector components are to be grouped into blocks. The meaning of the argument is the same as the one given to the DoFTools::count_dofs_per_component function.
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inherited |
Print the copy index fields for debugging purposes.
Definition at line 404 of file mg_level_global_transfer.cc.
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protectedinherited |
Internal function to fill copy_indices*. Called by derived classes.
Definition at line 284 of file mg_level_global_transfer.cc.
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privateinherited |
This function is called to make sure that build() has been invoked.
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virtualinherited |
Prolongate a vector from level to_level-1 to level to_level, summing into the previous content of dst.
Definition at line 205 of file mg_base.cc.
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private |
A variable storing the degree of the finite element contained in the DoFHandler passed to build(). The selection of the computational kernel is based on this number.
Definition at line 206 of file mg_transfer_matrix_free.h.
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private |
A variable storing whether the element is continuous and there is a joint degree of freedom in the center of the 1D line.
Definition at line 212 of file mg_transfer_matrix_free.h.
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private |
A variable storing the number of components in the finite element contained in the DoFHandler passed to build().
Definition at line 218 of file mg_transfer_matrix_free.h.
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private |
A variable storing the number of degrees of freedom on all child cells. It is 2dim*fe.n_dofs_per_cell() for DG elements and somewhat less for continuous elements.
Definition at line 225 of file mg_transfer_matrix_free.h.
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private |
This variable holds the indices for cells on a given level, extracted from DoFHandler for fast access. All DoF indices on a given level are stored as a plain array (since this class assumes constant DoFs per cell). To index into this array, use the cell number times dofs_per_cell.
This array first is arranged such that all locally owned level cells come first (found in the variable n_owned_level_cells) and then other cells necessary for the transfer to the next level.
Definition at line 237 of file mg_transfer_matrix_free.h.
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private |
A variable storing the connectivity from parent to child cell numbers for each level.
Definition at line 244 of file mg_transfer_matrix_free.h.
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private |
A variable storing the number of cells owned on a given process (sets the bounds for the worker loops) for each level.
Definition at line 250 of file mg_transfer_matrix_free.h.
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private |
This variable holds the one-dimensional embedding (prolongation) matrix from mother element to all the children.
Definition at line 256 of file mg_transfer_matrix_free.h.
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mutableprivate |
This variable holds the temporary values for the tensor evaluation
Definition at line 261 of file mg_transfer_matrix_free.h.
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private |
For continuous elements, restriction is not additive and we need to weight the result at the end of prolongation (and at the start of restriction) by the valence of the degrees of freedom, i.e., on how many elements they appear. We store the data in vectorized form to allow for cheap access. Moreover, we utilize the fact that we only need to store 3dim indices.
Data is organized in terms of each level (outer vector) and the cells on each level (inner vector).
Definition at line 274 of file mg_transfer_matrix_free.h.
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private |
A variable storing the local indices of Dirichlet boundary conditions on cells for all levels (outer index), the cells within the levels (second index), and the indices on the cell (inner index).
Definition at line 281 of file mg_transfer_matrix_free.h.
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private |
A vector that holds shared pointers to the partitioners of the transfer. These partitioners might be shared with what was passed in from the outside through build() or be shared with the level vectors inherited from MGLevelGlobalTransfer.
Definition at line 290 of file mg_transfer_matrix_free.h.
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protectedinherited |
Sizes of the multi-level vectors.
Definition at line 513 of file mg_transfer.h.
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protectedinherited |
Mapping for the copy_to_mg() and copy_from_mg() functions. Here only index pairs locally owned is stored.
The data is organized as follows: one table per level. This table has two rows. The first row contains the global index, the second one the level index.
Definition at line 523 of file mg_transfer.h.
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protectedinherited |
Same as above, but used to transfer solution vectors.
Definition at line 528 of file mg_transfer.h.
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protectedinherited |
Additional degrees of freedom for the copy_to_mg() function. These are the ones where the global degree of freedom is locally owned and the level degree of freedom is not.
Organization of the data is like for copy_indices.
Definition at line 537 of file mg_transfer.h.
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protectedinherited |
Same as above, but used to transfer solution vectors.
Definition at line 542 of file mg_transfer.h.
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protectedinherited |
Additional degrees of freedom for the copy_from_mg() function. These are the ones where the level degree of freedom is locally owned and the global degree of freedom is not.
Organization of the data is like for copy_indices.
Definition at line 551 of file mg_transfer.h.
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protectedinherited |
Same as above, but used to transfer solution vectors.
Definition at line 556 of file mg_transfer.h.
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protectedinherited |
This variable stores whether the copy operation from the global to the level vector is actually a plain copy to the finest level. This means that the grid has no adaptive refinement and the numbering on the finest multigrid level is the same as in the global case.
Definition at line 564 of file mg_transfer.h.
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protectedinherited |
This variable stores whether the copy operation from the global to the level vector is actually a plain copy to the finest level except for a renumbering within the finest level of the degrees of freedom. This means that the grid has no adaptive refinement.
Definition at line 572 of file mg_transfer.h.
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protectedinherited |
The vector that stores what has been given to the set_component_to_block_map() function.
Definition at line 578 of file mg_transfer.h.
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protectedinherited |
The mg_constrained_dofs of the level systems.
Definition at line 586 of file mg_transfer.h.
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mutableprotectedinherited |
In the function copy_to_mg, we need to access ghosted entries of the global vector for inserting into the level vectors. This vector is populated with those entries.
Definition at line 593 of file mg_transfer.h.
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mutableprotectedinherited |
Same as above but used when working with solution vectors.
Definition at line 599 of file mg_transfer.h.
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mutableprotectedinherited |
In the function copy_from_mg, we access all level vectors with certain ghost entries for inserting the result into a global vector.
Definition at line 606 of file mg_transfer.h.
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mutableprotectedinherited |
Same as above but used when working with solution vectors.
Definition at line 612 of file mg_transfer.h.
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protectedinherited |
Function to initialize internal level vectors.
Definition at line 619 of file mg_transfer.h.
1.9.5