Inner product operator constrained to a list of indices/dofs. The method Eval() computes the inner product of two vectors only on the constrained entries specified in the constraint list. More...

#include <solvers.hpp>

Inheritance diagram for mfem::ConstrainedInnerProduct:

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Collaboration diagram for mfem::ConstrainedInnerProduct:

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Public Member Functions
	ConstrainedInnerProduct (MPI_Comm comm_, const Array< int > &list)
	Restricted vectors.

	ConstrainedInnerProduct (MPI_Comm comm_)
	Constructor from MPI communicator.

	ConstrainedInnerProduct (const Array< int > &list)
	Constructor from a list of constraint indices/dofs. Specify a list of indices to constrain, i.e. each entry list[i] represents an element of the inner product.

void	SetIndices (const Array< int > &list)
	Set/update the list of constraint indices.

virtual real_t	Eval (const Vector &x, const Vector &y) override
	Compute the inner product (x,y) of vectors x and y, only on the constrained entries.

virtual void	Mult (const Vector &x, Vector &y) const override
	Apply the constraint to vector x and return in y.

Public Member Functions inherited from mfem::InnerProductOperator
	InnerProductOperator (MPI_Comm comm_)

	InnerProductOperator ()
	Create an operator of size 1 (scalar).

Public Member Functions inherited from mfem::Operator
void	InitTVectors (const Operator Po, const Operator Ri, const Operator *Pi, Vector &x, Vector &b, Vector &X, Vector &B) const
	Initializes memory for true vectors of linear system.

	Operator (int s=0)
	Construct a square Operator with given size s (default 0).

	Operator (int h, int w)
	Construct an Operator with the given height (output size) and width (input size).

int	Height () const
	Get the height (size of output) of the Operator. Synonym with NumRows().

int	NumRows () const
	Get the number of rows (size of output) of the Operator. Synonym with Height().

int	Width () const
	Get the width (size of input) of the Operator. Synonym with NumCols().

int	NumCols () const
	Get the number of columns (size of input) of the Operator. Synonym with Width().

virtual MemoryClass	GetMemoryClass () const
	Return the MemoryClass preferred by the Operator.

virtual void	AbsMult (const Vector &x, Vector &y) const
	Action of the absolute-value operator: `y=\|A\|(x)`. The default behavior in class Operator is to generate an error. If the Operator is a composition of several operators, the composition unfold into a product of absolute-value operators too.

virtual void	MultTranspose (const Vector &x, Vector &y) const
	Action of the transpose operator: `y=A^t(x)`. The default behavior in class Operator is to generate an error.

virtual void	AbsMultTranspose (const Vector &x, Vector &y) const
	Action of the transpose absolute-value operator: `y=\|A\|^t(x)`. The default behavior in class Operator is to generate an error.

virtual void	AddMult (const Vector &x, Vector &y, const real_t a=1.0) const
	Operator application: `y+=A(x)` (default) or `y+=a*A(x)`.

virtual void	AddMultTranspose (const Vector &x, Vector &y, const real_t a=1.0) const
	Operator transpose application: `y+=A^t(x)` (default) or `y+=a*A^t(x)`.

virtual void	ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Operator application on a matrix: `Y=A(X)`.

virtual void	ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const
	Action of the transpose operator on a matrix: `Y=A^t(X)`.

virtual void	ArrayAddMult (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator application on a matrix: `Y+=A(X)` (default) or `Y+=a*A(X)`.

virtual void	ArrayAddMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y, const real_t a=1.0) const
	Operator transpose application on a matrix: `Y+=A^t(X)` (default) or `Y+=a*A^t(X)`.

virtual Operator &	GetGradient (const Vector &x) const
	Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error.

virtual void	AssembleDiagonal (Vector &diag) const
	Computes the diagonal entries into diag. Typically, this operation only makes sense for linear Operators. In some cases, only an approximation of the diagonal is computed.

virtual const Operator *	GetProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. `NULL` means identity.

virtual const Operator *	GetRestriction () const
	Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

virtual const Operator *	GetOutputProlongation () const
	Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. `NULL` means identity.

virtual const Operator *	GetOutputRestrictionTranspose () const
	Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.

virtual const Operator *	GetOutputRestriction () const
	Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. `NULL` means identity.

void	FormLinearSystem (const Array< int > &ess_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B, int copy_interior=0)
	Form a constrained linear system using a matrix-free approach.

void	FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, Operator *&A, Vector &X, Vector &B)
	Form a column-constrained linear system using a matrix-free approach.

virtual void	RecoverFEMSolution (const Vector &X, const Vector &b, Vector &x)
	Reconstruct a solution vector x (e.g. a GridFunction) from the solution X of a constrained linear system obtained from Operator::FormLinearSystem() or Operator::FormRectangularLinearSystem().

void	FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this square operator.

void	FormRectangularSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator (including constraints).

void	FormDiscreteOperator (Operator *&A)
	Return in A a parallel (on truedofs) version of this rectangular operator.

void	PrintMatlab (std::ostream &out, int n, int m=0) const
	Prints operator with input size n and output size m in Matlab format.

virtual void	PrintMatlab (std::ostream &out) const
	Prints operator in Matlab format.

virtual	~Operator ()
	Virtual destructor.

Type	GetType () const
	Return the type ID of the Operator class.

Protected Attributes
Array< int >	constraint_list

Vector	xr
	List of constrained indices.

Vector	yr

Protected Attributes inherited from mfem::Operator
int	height
	Dimension of the output / number of rows in the matrix.

int	width
	Dimension of the input / number of columns in the matrix.

Additional Inherited Members
Public Types inherited from mfem::Operator
enum	DiagonalPolicy { DIAG_ZERO , DIAG_ONE , DIAG_KEEP }
	Defines operator diagonal policy upon elimination of rows and/or columns. More...

enum	Type { ANY_TYPE , MFEM_SPARSEMAT , Hypre_ParCSR , PETSC_MATAIJ , PETSC_MATIS , PETSC_MATSHELL , PETSC_MATNEST , PETSC_MATHYPRE , PETSC_MATGENERIC , Complex_Operator , MFEM_ComplexSparseMat , Complex_Hypre_ParCSR , Complex_DenseMat , MFEM_Block_Matrix , MFEM_Block_Operator }
	Enumeration defining IDs for some classes derived from Operator. More...

Protected Member Functions inherited from mfem::InnerProductOperator
virtual real_t	Dot (const Vector &x, const Vector &y) const
	Standard global/local \(\ell_2\) inner product.

Protected Member Functions inherited from mfem::Operator
void	FormConstrainedSystemOperator (const Array< int > &ess_tdof_list, ConstrainedOperator *&Aout)
	see FormSystemOperator()

void	FormRectangularConstrainedSystemOperator (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, RectangularConstrainedOperator *&Aout)
	see FormRectangularSystemOperator()

Operator *	SetupRAP (const Operator Pi, const Operator Po)
	Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".

Detailed Description

Inner product operator constrained to a list of indices/dofs. The method Eval() computes the inner product of two vectors only on the constrained entries specified in the constraint list.

Definition at line 346 of file solvers.hpp.

Constructor & Destructor Documentation

◆ ConstrainedInnerProduct() [1/3]

mfem::ConstrainedInnerProduct::ConstrainedInnerProduct	(	MPI_Comm	comm_,
		const Array< int > &	list )

inline

Restricted vectors.

Constructor from MPI communicator and a list of constraint indices.

Definition at line 355 of file solvers.hpp.

◆ ConstrainedInnerProduct() [2/3]

mfem::ConstrainedInnerProduct::ConstrainedInnerProduct ( MPI_Comm comm_ )

inline

Constructor from MPI communicator.

Definition at line 358 of file solvers.hpp.

◆ ConstrainedInnerProduct() [3/3]

mfem::ConstrainedInnerProduct::ConstrainedInnerProduct ( const Array< int > & list )

inline

Constructor from a list of constraint indices/dofs. Specify a list of indices to constrain, i.e. each entry list[i] represents an element of the inner product.

Definition at line 364 of file solvers.hpp.

Member Function Documentation

◆ Eval()

real_t mfem::ConstrainedInnerProduct::Eval	(	const Vector &	x,
		const Vector &	y )

overridevirtual

Compute the inner product (x,y) of vectors x and y, only on the constrained entries.

Implements mfem::InnerProductOperator.

Definition at line 220 of file solvers.cpp.

◆ Mult()

void mfem::ConstrainedInnerProduct::Mult	(	const Vector &	x,
		Vector &	y ) const

overridevirtual

Apply the constraint to vector x and return in y.

Reimplemented from mfem::InnerProductOperator.

Definition at line 239 of file solvers.cpp.

◆ SetIndices()

void mfem::ConstrainedInnerProduct::SetIndices ( const Array< int > & list )

Set/update the list of constraint indices.

Definition at line 211 of file solvers.cpp.

Member Data Documentation

◆ constraint_list

Array<int> mfem::ConstrainedInnerProduct::constraint_list

protected

Definition at line 349 of file solvers.hpp.

◆ xr

Vector mfem::ConstrainedInnerProduct::xr

mutableprotected

List of constrained indices.

Definition at line 350 of file solvers.hpp.

◆ yr

Vector mfem::ConstrainedInnerProduct::yr

protected

Definition at line 350 of file solvers.hpp.

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

linalg/solvers.hpp
linalg/solvers.cpp

Public Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ConstrainedInnerProduct() [1/3]

◆ ConstrainedInnerProduct() [2/3]

◆ ConstrainedInnerProduct() [3/3]

Member Function Documentation

◆ Eval()

◆ Mult()

◆ SetIndices()

Member Data Documentation

◆ constraint_list

◆ xr

◆ yr