#include <transfer.hpp>

Inheritance diagram for mfem::L2ProjectionGridTransfer::L2ProjectionH1Space:

Collaboration diagram for mfem::L2ProjectionGridTransfer::L2ProjectionH1Space:

Public Member Functions
	L2ProjectionH1Space (const FiniteElementSpace &fes_ho_, const FiniteElementSpace &fes_lor_)

	L2ProjectionH1Space (const ParFiniteElementSpace &pfes_ho_, const ParFiniteElementSpace &pfes_lor_)

virtual void	Mult (const Vector &x, Vector &y) const

virtual void	MultTranspose (const Vector &x, Vector &y) const

virtual void	Prolongate (const Vector &x, Vector &y) const

virtual void	ProlongateTranspose (const Vector &x, Vector &y) const

virtual void	SetRelTol (real_t p_rtol_)
	Sets relative tolerance in preconditioned conjugate gradient solver.

virtual void	SetAbsTol (real_t p_atol_)
	Sets absolute tolerance in preconditioned conjugate gradient solver.

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	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 Member Functions
void	SetupPCG ()
	Sets up the PCG solver (sets parameters, operator, and preconditioner)

std::pair< std::unique_ptr< SparseMatrix >, std::unique_ptr< SparseMatrix > >	ComputeSparseRAndM_LH ()
	Computes on-rank R and M_LH matrices.

void	GetTDofs (const FiniteElementSpace &fes, const Vector &x, Vector &X) const
	Recovers vector of tdofs given a vector of dofs and a finite element space.

void	SetFromTDofs (const FiniteElementSpace &fes, const Vector &X, Vector &x) const
	Sets dof values given a vector of tdofs and a finite element space.

void	GetTDofsTranspose (const FiniteElementSpace &fes, const Vector &x, Vector &X) const
	Recovers a vector of dual field coefficients on the tdofs given a vector of dual coefficients and a finite element space.

void	SetFromTDofsTranspose (const FiniteElementSpace &fes, const Vector &X, Vector &x) const
	Sets dual field coefficients given a vector of dual field coefficients on the tdofs and a finite element space.

void	TDofsListByVDim (const FiniteElementSpace &fes, int vdim, Array< int > &vdofs_list) const
	Fills the vdofs_list array with a list of vdofs for a given vdim and a given finite element space.

void	LumpedMassInverse (Vector &ML_inv) const
	Returns the inverse of an on-rank lumped mass matrix.

std::unique_ptr< SparseMatrix >	AllocR ()
	Computes sparsity pattern and initializes R matrix.

Protected Member Functions inherited from mfem::L2ProjectionGridTransfer::L2Projection
	L2Projection (const FiniteElementSpace &fes_ho_, const FiniteElementSpace &fes_lor_)

void	BuildHo2Lor (int nel_ho, int nel_lor, const CoarseFineTransformations &cf_tr)

void	ElemMixedMass (Geometry::Type geom, const FiniteElement &fe_ho, const FiniteElement &fe_lor, ElementTransformation *el_tr, IntegrationPointTransformation &ip_tr, DenseMatrix &M_mixed_el) const

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".

Protected Attributes
CGSolver	pcg

std::unique_ptr< Solver >	precon

std::unique_ptr< Operator >	R

std::unique_ptr< Operator >	M_LH

std::unique_ptr< Operator >	RTxM_LH

Protected Attributes inherited from mfem::L2ProjectionGridTransfer::L2Projection
const FiniteElementSpace &	fes_ho

const FiniteElementSpace &	fes_lor

Table	ho2lor

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...

Detailed Description

Projection operator between a H1 high-order finite element space on a coarse mesh, and a H1 low-order finite element space on a refined mesh (LOR).

Definition at line 265 of file transfer.hpp.

Constructor & Destructor Documentation

◆ L2ProjectionH1Space() [1/2]

mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::L2ProjectionH1Space	(	const FiniteElementSpace &	fes_ho_,
		const FiniteElementSpace &	fes_lor_ )

Definition at line 545 of file transfer.cpp.

◆ L2ProjectionH1Space() [2/2]

mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::L2ProjectionH1Space	(	const ParFiniteElementSpace &	pfes_ho_,
		const ParFiniteElementSpace &	pfes_lor_ )

Definition at line 590 of file transfer.cpp.

Member Function Documentation

◆ AllocR()

std::unique_ptr< SparseMatrix > mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::AllocR ( )

protected

Computes sparsity pattern and initializes R matrix.

Based on BilinearForm::AllocMat(), except maps between coarse HO elements and refined LOR elements.

Definition at line 1023 of file transfer.cpp.

◆ ComputeSparseRAndM_LH()

std::pair< std::unique_ptr< SparseMatrix >, std::unique_ptr< SparseMatrix > > mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::ComputeSparseRAndM_LH ( )

protected

Computes on-rank R and M_LH matrices.

Definition at line 772 of file transfer.cpp.

◆ GetTDofs()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::GetTDofs	(	const FiniteElementSpace &	fes,
		const Vector &	x,
		Vector &	X ) const

protected

Recovers vector of tdofs given a vector of dofs and a finite element space.

Definition at line 920 of file transfer.cpp.

◆ GetTDofsTranspose()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::GetTDofsTranspose	(	const FiniteElementSpace &	fes,
		const Vector &	x,
		Vector &	X ) const

protected

Recovers a vector of dual field coefficients on the tdofs given a vector of dual coefficients and a finite element space.

Definition at line 948 of file transfer.cpp.

◆ LumpedMassInverse()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::LumpedMassInverse ( Vector & ML_inv ) const

protected

Returns the inverse of an on-rank lumped mass matrix.

Definition at line 997 of file transfer.cpp.

◆ Mult()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::Mult	(	const Vector &	x,
		Vector &	y ) const

virtual

Maps x, primal field coefficients defined on a coarse mesh with a higher order H1 finite element space, to y, primal field coefficients defined on a refined mesh with a low order H1 finite element space. Refined mesh should be a uniform refinement of the coarse mesh. Coefficients are computed through minimization of L2 error between the fields.

Implements mfem::Operator.

Definition at line 651 of file transfer.cpp.

◆ MultTranspose()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::MultTranspose	(	const Vector &	x,
		Vector &	y ) const

virtual

Maps x, dual field coefficients defined on a refined mesh with a low order H1 finite element space, to y, dual field coefficients defined on a coarse mesh with a higher order H1 finite element space. Refined mesh should be a uniform refinement of the coarse mesh. Coefficients are computed through minimization of L2 error between the primal fields. Note, if the x-coefficients come from ProlongateTranspose, then mass is conserved.

Reimplemented from mfem::Operator.

Definition at line 676 of file transfer.cpp.

◆ Prolongate()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::Prolongate	(	const Vector &	x,
		Vector &	y ) const

virtual

Maps x, primal field coefficients defined on a refined mesh with a low order H1 finite element space, to y, primal field coefficients defined on a coarse mesh with a higher order H1 finite element space. Refined mesh should be a uniform refinement of the coarse mesh. Coefficients are computed from the mass conservative left-inverse prolongation operation. This functionality is also provided as an Operator by L2Prolongation.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 701 of file transfer.cpp.

◆ ProlongateTranspose()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::ProlongateTranspose	(	const Vector &	x,
		Vector &	y ) const

virtual

Maps x, dual field coefficients defined on a coarse mesh with a higher order H1 finite element space, to y, dual field coefficients defined on a refined mesh with a low order H1 finite element space. Refined mesh should be a uniform refinement of the coarse mesh. Coefficients are computed from the transpose of the mass conservative left-inverse prolongation operation. This functionality is also provided as an Operator by L2Prolongation.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 730 of file transfer.cpp.

◆ SetAbsTol()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetAbsTol ( real_t p_atol_ )

virtual

Sets absolute tolerance in preconditioned conjugate gradient solver.

Only used for H1 spaces.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 764 of file transfer.cpp.

◆ SetFromTDofs()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetFromTDofs	(	const FiniteElementSpace &	fes,
		const Vector &	X,
		Vector &	x ) const

protected

Sets dof values given a vector of tdofs and a finite element space.

Definition at line 934 of file transfer.cpp.

◆ SetFromTDofsTranspose()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetFromTDofsTranspose	(	const FiniteElementSpace &	fes,
		const Vector &	X,
		Vector &	x ) const

protected

Sets dual field coefficients given a vector of dual field coefficients on the tdofs and a finite element space.

Definition at line 962 of file transfer.cpp.

◆ SetRelTol()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetRelTol ( real_t p_rtol_ )

virtual

Sets relative tolerance in preconditioned conjugate gradient solver.

Only used for H1 spaces.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 759 of file transfer.cpp.

◆ SetupPCG()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetupPCG ( )

protected

Sets up the PCG solver (sets parameters, operator, and preconditioner)

Definition at line 638 of file transfer.cpp.

◆ TDofsListByVDim()

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::TDofsListByVDim	(	const FiniteElementSpace &	fes,
		int	vdim,
		Array< int > &	vdofs_list ) const

protected

Fills the vdofs_list array with a list of vdofs for a given vdim and a given finite element space.

Definition at line 976 of file transfer.cpp.

Member Data Documentation

◆ M_LH

std::unique_ptr<Operator> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::M_LH

protected

Definition at line 350 of file transfer.hpp.

◆ pcg

CGSolver mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::pcg

protected

Definition at line 343 of file transfer.hpp.

◆ precon

std::unique_ptr<Solver> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::precon

protected

Definition at line 344 of file transfer.hpp.

◆ R

std::unique_ptr<Operator> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::R

protected

Definition at line 348 of file transfer.hpp.

◆ RTxM_LH

std::unique_ptr<Operator> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::RTxM_LH

protected

Definition at line 351 of file transfer.hpp.

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

fem/transfer.hpp
fem/transfer.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ L2ProjectionH1Space() [1/2]

◆ L2ProjectionH1Space() [2/2]

Member Function Documentation

◆ AllocR()

◆ ComputeSparseRAndM_LH()

◆ GetTDofs()

◆ GetTDofsTranspose()

◆ LumpedMassInverse()

◆ Mult()

◆ MultTranspose()

◆ Prolongate()

◆ ProlongateTranspose()

◆ SetAbsTol()

◆ SetFromTDofs()

◆ SetFromTDofsTranspose()

◆ SetRelTol()

◆ SetupPCG()

◆ TDofsListByVDim()

Member Data Documentation

◆ M_LH

◆ pcg

◆ precon

◆ R

◆ RTxM_LH