#include <deal.II/matrix_free/operators.h>

Inheritance diagram for MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >:

[legend]

Public Types
typedef Base< dim, VectorType >::value_type	value_type

typedef Base< dim, VectorType >::size_type	size_type

Public Types inherited from MatrixFreeOperators::Base< dim, VectorType >
typedef VectorType::value_type	value_type

typedef VectorType::size_type	size_type

Public Member Functions
	LaplaceOperator ()

virtual void	compute_diagonal ()

void	set_coefficient (const std_cxx11::shared_ptr< Table< 2, VectorizedArray< value_type > > > &scalar_coefficient)

virtual void	clear ()

std_cxx11::shared_ptr< Table< 2, VectorizedArray< value_type > > >	get_coefficient ()

Public Member Functions inherited from MatrixFreeOperators::Base< dim, VectorType >
	Base ()

virtual	~Base ()

void	initialize (std_cxx11::shared_ptr< const MatrixFree< dim, value_type > > 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_cxx11::shared_ptr< const MatrixFree< dim, value_type > > 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_cxx11::shared_ptr< const MatrixFree< dim, value_type > > 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_cxx11::shared_ptr< const MatrixFree< dim, value_type > >	get_matrix_free () const

const std_cxx11::shared_ptr< DiagonalMatrix< VectorType > > &	get_matrix_diagonal_inverse () const

void	precondition_Jacobi (VectorType &dst, const VectorType &src, const value_type omega) const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Member Functions
virtual void	apply_add (VectorType &dst, const VectorType &src) const

void	local_apply_cell (const MatrixFree< dim, value_type > &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 > &data, VectorType &dst, const unsigned int &, 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

Private Attributes
std_cxx11::shared_ptr< Table< 2, VectorizedArray< value_type > > >	scalar_coefficient

Additional Inherited Members
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, char *arg2, std::string &arg3)

static ::ExceptionBase &	ExcNoSubscriber (char arg1, char arg2)

Protected Member Functions inherited from MatrixFreeOperators::Base< dim, VectorType >
void	set_constrained_entries_to_one (VectorType &dst) const

virtual void	Tapply_add (VectorType &dst, const VectorType &src) const

Protected Attributes inherited from MatrixFreeOperators::Base< dim, VectorType >
std_cxx11::shared_ptr< const MatrixFree< dim, value_type > >	data

std_cxx11::shared_ptr< DiagonalMatrix< VectorType > >	inverse_diagonal_entries

std::vector< unsigned int >	selected_rows

std::vector< unsigned int >	selected_columns

Detailed Description

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>
class MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >

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.

Author: Denis Davydov, 2016

Definition at line 639 of file operators.h.

Member Typedef Documentation

◆ value_type

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

typedef Base<dim,VectorType>::value_type MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::value_type

Number typedef.

Definition at line 645 of file operators.h.

◆ size_type

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

typedef Base<dim,VectorType>::size_type MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::size_type

size_type needed for preconditioner classes.

Definition at line 650 of file operators.h.

Constructor & Destructor Documentation

◆ LaplaceOperator()

template<int dim, int fe_degree, int n_q_points_1d, int n_components, typename VectorType >

MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::LaplaceOperator ( )

Constructor.

Definition at line 1553 of file operators.h.

Member Function Documentation

◆ compute_diagonal()

template<int dim, int fe_degree, int n_q_points_1d, int n_components, typename VectorType >

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::compute_diagonal ( )

virtual

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 >.

Definition at line 1597 of file operators.h.

◆ set_coefficient()

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::set_coefficient ( const std_cxx11::shared_ptr< Table< 2, VectorizedArray< value_type > > > & scalar_coefficient )

Set the heterogeneous scalar coefficient scalar_coefficient to be used at the quadrature points. The Table should be of correct size, consistent with the total number of quadrature points in dim-dimensions, controlled by the n_q_points_1d template parameter. Here, (*scalar_coefficient)(cell,q) corresponds to the value of the coefficient, where cell is an index into a set of cell batches as administered by the MatrixFree framework (which does not work on individual cells, but instead of batches of cells at once), and q is the number of the quadrature point within this batch.

Such tables can be initialized by

std_cxx11::shared_ptr<Table<2, VectorizedArray<double> > > coefficient;
coefficient = std_cxx11::make_shared<Table<2, VectorizedArray<double> > >();
{
  FEEvaluation<dim,fe_degree,n_q_points_1d,1,double> fe_eval(mf_data);
  const unsigned int n_cells = mf_data.n_macro_cells();
  const unsigned int n_q_points = fe_eval.n_q_points;
  coefficient->reinit(n_cells, n_q_points);
  for (unsigned int cell=0; cell<n_cells; ++cell)
    {
      fe_eval.reinit(cell);
      for (unsigned int q=0; q<n_q_points; ++q)
        (*coefficient)(cell,q) = function.value(fe_eval.quadrature_point(q));
    }
}

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 1575 of file operators.h.

◆ clear()

template<int dim, int fe_degree, int n_q_points_1d, int n_components, typename VectorType >

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::clear ( )

virtual

Release all memory and return to a state just like after having called the default constructor.

Reimplemented from MatrixFreeOperators::Base< dim, VectorType >.

Definition at line 1564 of file operators.h.

◆ get_coefficient()

template<int dim, int fe_degree, int n_q_points_1d, int n_components, typename VectorType >

std_cxx11::shared_ptr< Table< 2, VectorizedArray< typename LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::value_type > > > MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::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 1585 of file operators.h.

◆ apply_add()

template<int dim, int fe_degree, int n_q_points_1d, int n_components, typename VectorType >

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::apply_add	(	VectorType &	dst,
		const VectorType &	src
	)		const

privatevirtual

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 >.

Definition at line 1626 of file operators.h.

◆ local_apply_cell()

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::local_apply_cell	(	const MatrixFree< dim, value_type > &	data,
		VectorType &	dst,
		const VectorType &	src,
		const std::pair< unsigned int, unsigned int > &	cell_range
	)		const

private

Applies the Laplace operator on a cell.

Definition at line 1681 of file operators.h.

◆ local_diagonal_cell()

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::local_diagonal_cell	(	const MatrixFree< dim, value_type > &	data,
		VectorType &	dst,
		const unsigned int &	,
		const std::pair< unsigned int, unsigned int > &	cell_range
	)		const

private

Apply diagonal part of the Laplace operator on a cell.

Definition at line 1701 of file operators.h.

◆ do_operation_on_cell()

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

void MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::do_operation_on_cell	(	FEEvaluation< dim, fe_degree, n_q_points_1d, n_components, value_type > &	phi,
		const unsigned int	cell
	)		const

private

Apply Laplace operator on a cell cell.

Definition at line 1652 of file operators.h.

Member Data Documentation

◆ scalar_coefficient

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>

std_cxx11::shared_ptr< Table<2, VectorizedArray<value_type> > > MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >::scalar_coefficient

private

User-provided heterogeneity coefficient.

Definition at line 754 of file operators.h.

The documentation for this class was generated from the following file:

deal.II/matrix_free/operators.h

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>> class MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >

Member Typedef Documentation

◆ value_type

◆ size_type

Constructor & Destructor Documentation

◆ LaplaceOperator()

Member Function Documentation

◆ compute_diagonal()

◆ set_coefficient()

◆ clear()

◆ get_coefficient()

◆ apply_add()

◆ local_apply_cell()

◆ local_diagonal_cell()

◆ do_operation_on_cell()

Member Data Documentation

◆ scalar_coefficient

template<int dim, int fe_degree, int n_q_points_1d = fe_degree+1, int n_components = 1, typename VectorType = LinearAlgebra::distributed::Vector<double>>
class MatrixFreeOperators::LaplaceOperator< dim, fe_degree, n_q_points_1d, n_components, VectorType >