Reference documentation for deal.II version 9.4.1
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#include <deal.II/matrix_free/operators.h>
Public Types | |
using | value_type = typename Base< dim, VectorType, VectorizedArrayType >::value_type |
using | size_type = typename Base< dim, VectorType, VectorizedArrayType >::size_type |
Public Member Functions | |
LaplaceOperator () | |
virtual void | compute_diagonal () override |
void | set_coefficient (const std::shared_ptr< Table< 2, VectorizedArrayType > > &scalar_coefficient) |
virtual void | clear () override |
std::shared_ptr< Table< 2, VectorizedArrayType > > | get_coefficient () |
void | initialize (std::shared_ptr< const MatrixFree< dim, value_type, VectorizedArrayType > > data, const std::vector< unsigned int > &selected_row_blocks=std::vector< unsigned int >(), const std::vector< unsigned int > &selected_column_blocks=std::vector< unsigned int >()) |
void | initialize (std::shared_ptr< const MatrixFree< dim, value_type, VectorizedArrayType > > data, const MGConstrainedDoFs &mg_constrained_dofs, const unsigned int level, const std::vector< unsigned int > &selected_row_blocks=std::vector< unsigned int >()) |
void | initialize (std::shared_ptr< const MatrixFree< dim, value_type, VectorizedArrayType > > data_, const std::vector< MGConstrainedDoFs > &mg_constrained_dofs, const unsigned int level, const std::vector< unsigned int > &selected_row_blocks=std::vector< unsigned int >()) |
size_type | m () const |
size_type | n () const |
void | vmult_interface_down (VectorType &dst, const VectorType &src) const |
void | vmult_interface_up (VectorType &dst, const VectorType &src) const |
void | vmult (VectorType &dst, const VectorType &src) const |
void | Tvmult (VectorType &dst, const VectorType &src) const |
void | vmult_add (VectorType &dst, const VectorType &src) const |
void | Tvmult_add (VectorType &dst, const VectorType &src) const |
value_type | el (const unsigned int row, const unsigned int col) const |
virtual std::size_t | memory_consumption () const |
void | initialize_dof_vector (VectorType &vec) const |
std::shared_ptr< const MatrixFree< dim, value_type, VectorizedArrayType > > | get_matrix_free () const |
const std::shared_ptr< DiagonalMatrix< VectorType > > & | get_matrix_diagonal_inverse () const |
const std::shared_ptr< DiagonalMatrix< VectorType > > & | get_matrix_diagonal () const |
void | precondition_Jacobi (VectorType &dst, const VectorType &src, const value_type omega) const |
Protected Member Functions | |
void | preprocess_constraints (VectorType &dst, const VectorType &src) const |
void | postprocess_constraints (VectorType &dst, const VectorType &src) const |
void | set_constrained_entries_to_one (VectorType &dst) const |
virtual void | Tapply_add (VectorType &dst, const VectorType &src) const |
Protected Attributes | |
std::shared_ptr< const MatrixFree< dim, value_type, VectorizedArrayType > > | data |
std::shared_ptr< DiagonalMatrix< VectorType > > | diagonal_entries |
std::shared_ptr< DiagonalMatrix< VectorType > > | inverse_diagonal_entries |
std::vector< unsigned int > | selected_rows |
std::vector< unsigned int > | selected_columns |
Private Member Functions | |
virtual void | apply_add (VectorType &dst, const VectorType &src) const override |
void | local_apply_cell (const MatrixFree< dim, value_type, VectorizedArrayType > &data, VectorType &dst, const VectorType &src, const std::pair< unsigned int, unsigned int > &cell_range) const |
void | local_diagonal_cell (const MatrixFree< dim, value_type, VectorizedArrayType > &data, VectorType &dst, const VectorType &, const std::pair< unsigned int, unsigned int > &cell_range) const |
void | do_operation_on_cell (FEEvaluation< dim, fe_degree, n_q_points_1d, n_components, value_type > &phi, const unsigned int cell) const |
void | mult_add (VectorType &dst, const VectorType &src, const bool transpose) const |
void | adjust_ghost_range_if_necessary (const VectorType &vec, const bool is_row) const |
Private Attributes | |
std::shared_ptr< Table< 2, VectorizedArrayType > > | scalar_coefficient |
std::vector< std::vector< unsigned int > > | edge_constrained_indices |
std::vector< std::vector< std::pair< value_type, value_type > > > | edge_constrained_values |
bool | have_interface_matrices |
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) |
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 |
static ::ExceptionBase & | ExcInUse (int arg1, std::string arg2, std::string arg3) |
static ::ExceptionBase & | ExcNoSubscriber (std::string arg1, std::string arg2) |
This class implements the operation of the action of a Laplace matrix, namely \( L_{ij} = \int_\Omega c(\mathbf x) \mathbf \nabla N_i(\mathbf x) \cdot \mathbf \nabla N_j(\mathbf x)\,d \mathbf x\), where \(c(\mathbf x)\) is the scalar heterogeneity coefficient.
Note that this class only supports the non-blocked vector variant of the Base operator because only a single FEEvaluation object is used in the apply function.
Definition at line 851 of file operators.h.
using MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType, VectorizedArrayType >::value_type = typename Base<dim, VectorType, VectorizedArrayType>::value_type |
Number alias.
Definition at line 857 of file operators.h.
using MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType, VectorizedArrayType >::size_type = typename Base<dim, VectorType, VectorizedArrayType>::size_type |
size_type needed for preconditioner classes.
Definition at line 863 of file operators.h.
MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType, VectorizedArrayType >::LaplaceOperator |
Constructor.
Definition at line 2096 of file operators.h.
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overridevirtual |
The diagonal is approximated by computing a local diagonal matrix per element and distributing it to the global diagonal. This will lead to wrong results on element with hanging nodes but is still an acceptable approximation to be used in preconditioners.
Implements MatrixFreeOperators::Base< dim, VectorType, VectorizedArrayType >.
Definition at line 2175 of file operators.h.
void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType, VectorizedArrayType >::set_coefficient | ( | const std::shared_ptr< Table< 2, VectorizedArrayType > > & | scalar_coefficient | ) |
Set the heterogeneous scalar coefficient scalar_coefficient
to be used at the quadrature points. The Table needs to have as many rows as there are cell batches in the underlying MatrixFree object, MatrixFree::n_cell_batches(). The number of batches is related to the fact that the matrix-free operators do not work on individual cells, but instead of batches of cells at once due to vectorization. The Table can take two different numbers of columns. One case is to select it equal to the total number of quadrature points in dim
dimensions, which is the dim
th power of the n_q_points_1d
template parameter. Here, (*scalar_coefficient)(cell,q)
corresponds to the value of the coefficient on cell batch cell
and quadrature point index q
. The second supported variant is a Table with a single column, in which case the same variable coefficient value is used at all quadrature points of a cell.
Such tables can be initialized by
where mf_data
is a MatrixFree object and function
is a function which provides the following method VectorizedArray<double> value(const Point<dim,
VectorizedArray<double> > &p_vec)
.
If this function is not called, the coefficient is assumed to be unity.
The argument to this function is a shared pointer to such a table. The class stores the shared pointer to this table, not a deep copy and uses it to form the Laplace matrix. Consequently, you can update the table and re-use the current object to obtain the action of a Laplace matrix with this updated coefficient. Alternatively, if the table values are only to be filled once, the original shared pointer can also go out of scope in user code and the clear() command or destructor of this class will delete the table.
Definition at line 2134 of file operators.h.
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overridevirtual |
Resets all data structures back to the same state as for a newly constructed object.
Reimplemented from MatrixFreeOperators::Base< dim, VectorType, VectorizedArrayType >.
Definition at line 2114 of file operators.h.
std::shared_ptr< Table< 2, VectorizedArrayType > > MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType, VectorizedArrayType >::get_coefficient |
Read/Write access to coefficients to be used in Laplace operator.
The function will throw an error if coefficients are not previously set by set_coefficient() function.
Definition at line 2155 of file operators.h.
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overrideprivatevirtual |
Applies the laplace matrix operation on an input vector. It is assumed that the passed input and output vector are correctly initialized using initialize_dof_vector().
Implements MatrixFreeOperators::Base< dim, VectorType, VectorizedArrayType >.
Definition at line 2225 of file operators.h.
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Applies the Laplace operator on a cell.
Definition at line 2324 of file operators.h.
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Apply diagonal part of the Laplace operator on a cell.
Definition at line 2360 of file operators.h.
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Apply Laplace operator on a cell cell
.
Definition at line 2260 of file operators.h.
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inherited |
Initialize operator on fine scale.
The optional selection vector allows to choose only some components from the underlying MatrixFree object, e.g. just a single one. The entry selected_row_blocks
[i] in the vector chooses the DoFHandler and AffineConstraints object that was given as the selected_row_blocks
[i]-th argument to the MatrixFree::reinit() call. Different arguments for rows and columns also make it possible to select non-diagonal blocks or rectangular blocks. If the row vector is empty, all components are selected, otherwise its size must be smaller or equal to MatrixFree::n_components() and all indices need to be unique and within the range of 0 and MatrixFree::n_components(). If the column selection vector is empty, it is taken the same as the row selection, defining a diagonal block.
Definition at line 1238 of file operators.h.
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inherited |
Initialize operator on a level level
for a single FiniteElement.
The optional selection vector allows to choose only some components from the underlying MatrixFree object, e.g. just a single one. The entry selected_row_blocks
[i] in the vector chooses the DoFHandler and AffineConstraints object that was given as the selected_row_blocks
[i]-th argument to the MatrixFree::reinit() call. Since a multigrid operator is always associated to inverting a matrix and thus represents a diagonal block, the same vector for rows and columns is used as opposed to the non-level initialization function. If empty, all components are selected.
Definition at line 1291 of file operators.h.
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inherited |
Initialize operator on a level level
for multiple FiniteElement objects.
The optional selection vector allows to choose only some components from the underlying MatrixFree object, e.g. just a single one. The entry selected_row_blocks
[i] in the vector chooses the DoFHandler and AffineConstraints object that was given as the selected_row_blocks
[i]-th argument to the MatrixFree::reinit() call. Since a multigrid operator is always associated to inverting a matrix and thus represents a diagonal block, the same vector for rows and columns is used as opposed to the non-level initialization function. If empty, all components are selected.
Definition at line 1307 of file operators.h.
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Return the dimension of the codomain (or range) space.
Definition at line 1160 of file operators.h.
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Return the dimension of the domain space.
Definition at line 1174 of file operators.h.
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vmult operator for interface.
Definition at line 1557 of file operators.h.
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vmult operator for interface.
Definition at line 1611 of file operators.h.
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Matrix-vector multiplication.
Definition at line 1396 of file operators.h.
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Transpose matrix-vector multiplication.
Definition at line 1652 of file operators.h.
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Adding Matrix-vector multiplication.
Definition at line 1409 of file operators.h.
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Adding transpose matrix-vector multiplication.
Definition at line 1420 of file operators.h.
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Return the value of the matrix entry (row,col). In matrix-free context this function is valid only for row==col when diagonal is initialized.
Definition at line 1198 of file operators.h.
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virtualinherited |
Determine an estimate for the memory consumption (in bytes) of this object.
Definition at line 1666 of file operators.h.
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inherited |
A wrapper for initialize_dof_vector() of MatrixFree object.
Definition at line 1213 of file operators.h.
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inherited |
Get read access to the MatrixFree object stored with this operator.
Definition at line 1680 of file operators.h.
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inherited |
Get read access to the inverse diagonal of this operator.
Definition at line 1689 of file operators.h.
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Get read access to the diagonal of this operator.
Definition at line 1702 of file operators.h.
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inherited |
Apply the Jacobi preconditioner, which multiplies every element of the src
vector by the inverse of the respective diagonal element and multiplies the result with the relaxation factor omega
.
Definition at line 1724 of file operators.h.
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protectedinherited |
Perform necessary operations related to constraints before calling apply_add() or Tapply_add() inside mult_add().
Definition at line 1473 of file operators.h.
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protectedinherited |
Perform necessary operations related to constraints after calling apply_add() or Tapply_add() inside mult_add().
Definition at line 1523 of file operators.h.
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protectedinherited |
Set constrained entries (both from hanging nodes and edge constraints) of dst
to one.
Definition at line 1377 of file operators.h.
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protectedvirtualinherited |
Apply transpose operator to src
and add result in dst
.
Default implementation is to call apply_add().
Definition at line 1713 of file operators.h.
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privateinherited |
Function which implements vmult_add (transpose
= false) and Tvmult_add (transpose
= true).
Definition at line 1503 of file operators.h.
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privateinherited |
Adjust the ghost range of the vectors to the storage requirements of the underlying MatrixFree class. This is used inside the mult_add() as well as vmult_interface_up() and vmult_interface_down() methods in order to ensure that the cell loops will be able to access the ghost indices with the correct local indices.
Definition at line 1431 of file operators.h.
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User-provided heterogeneity coefficient.
Definition at line 991 of file operators.h.
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protectedinherited |
MatrixFree object to be used with this operator.
Definition at line 438 of file operators.h.
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protectedinherited |
A shared pointer to a diagonal matrix that stores the diagonal elements as a vector.
Definition at line 444 of file operators.h.
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protectedinherited |
A shared pointer to a diagonal matrix that stores the inverse of diagonal elements as a vector.
Definition at line 450 of file operators.h.
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protectedinherited |
A vector which defines the selection of sub-components of MatrixFree for the rows of the matrix representation.
Definition at line 456 of file operators.h.
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protectedinherited |
A vector which defines the selection of sub-components of MatrixFree for the columns of the matrix representation.
Definition at line 462 of file operators.h.
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privateinherited |
Indices of DoFs on edge in case the operator is used in GMG context.
Definition at line 468 of file operators.h.
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mutableprivateinherited |
Auxiliary vector.
Definition at line 474 of file operators.h.
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privateinherited |
A flag which determines whether or not this operator has interface matrices in GMG context.
Definition at line 480 of file operators.h.