Class below must be public as we now have device code. More...

#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_, const bool use_ea_, MemoryType d_mt_=Device::GetHostMemoryType())

	L2ProjectionH1Space (const ParFiniteElementSpace &pfes_ho_, const ParFiniteElementSpace &pfes_lor_, const bool use_ea_, MemoryType d_mt_=Device::GetHostMemoryType())

void	EAL2ProjectionH1Space ()

void	EAL2ProjectionH1Space (const ParFiniteElementSpace &pfes_ho_, const ParFiniteElementSpace &pfes_lor_)

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

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

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

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

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

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

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

Public Member Functions inherited from mfem::L2ProjectionGridTransfer::L2Projection
void	MixedMassEA (const FiniteElementSpace &fes_ho_, const FiniteElementSpace &fes_lor_, Vector &M_LH, MemoryType d_mt_=Device::GetHostMemoryType())

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. If true, computes mixed mass and/or inverse lumped mass matrix error when compared to device implementation.

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.

std::unique_ptr< SparseMatrix >	AllocR ()
	Computes sparsity pattern and initializes R matrix. Based on BilinearForm::AllocMat(), except maps between coarse HO elements and refined LOR elements.

Protected Member Functions inherited from mfem::L2ProjectionGridTransfer::L2Projection
	L2Projection (const FiniteElementSpace &fes_ho_, const FiniteElementSpace &fes_lor_, MemoryType d_mt_=Device::GetHostMemoryType())

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 tr_ho, ElementTransformation tr_lor, IntegrationPointTransformation &ip_tr, DenseMatrix &M_mixed_el) const

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

std::unique_ptr< Operator >	ML_inv_vea

Operator *	M_LH_local_op

std::unique_ptr< FiniteElementSpace >	fes_ho_scalar

std::unique_ptr< FiniteElementSpace >	fes_lor_scalar

Vector	M_LH_ea

Vector	ML_inv_ea

std::unique_ptr< ParFiniteElementSpace >	pfes_ho_scalar

std::unique_ptr< ParFiniteElementSpace >	pfes_lor_scalar

Vector	RML_inv

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

const FiniteElementSpace &	fes_lor

MemoryType	d_mt

Array< int >	offsets

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.

Friends
class	L2ProjectionL2Space

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

Class below must be public as we now have device code.

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 352 of file transfer.hpp.

Constructor & Destructor Documentation

◆ L2ProjectionH1Space() [1/2]

mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::L2ProjectionH1Space	(	const FiniteElementSpace &	fes_ho_,
		const FiniteElementSpace &	fes_lor_,
		const bool	use_ea_,
		MemoryType	d_mt_ = Device::GetHostMemoryType() )

Definition at line 1017 of file transfer.cpp.

◆ L2ProjectionH1Space() [2/2]

mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::L2ProjectionH1Space	(	const ParFiniteElementSpace &	pfes_ho_,
		const ParFiniteElementSpace &	pfes_lor_,
		const bool	use_ea_,
		MemoryType	d_mt_ = Device::GetHostMemoryType() )

Definition at line 1077 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 1761 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. If true, computes mixed mass and/or inverse lumped mass matrix error when compared to device implementation.

Definition at line 1503 of file transfer.cpp.

◆ EAL2ProjectionH1Space() [1/2]

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::EAL2ProjectionH1Space ( )

Same as above but assembles action of R through 4 parts: ( ) inv( lumped(M_L) ), which is a diagonal matrix (essentially a vector) ( ) ElementRestrictionOperator for LOR space ( ) mixed mass matrix M_{LH} ( ) ElementRestrictionOperator for HO space

Definition at line 1150 of file transfer.cpp.

◆ EAL2ProjectionH1Space() [2/2]

void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::EAL2ProjectionH1Space	(	const ParFiniteElementSpace &	pfes_ho_,
		const ParFiniteElementSpace &	pfes_lor_ )

Definition at line 1237 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 1657 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 1685 of file transfer.cpp.

◆ LumpedMassInverse()

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

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

Definition at line 1734 of file transfer.cpp.

◆ Mult()

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

overridevirtual

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 1377 of file transfer.cpp.

◆ MultTranspose()

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

overridevirtual

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 1403 of file transfer.cpp.

◆ Prolongate()

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

overridevirtual

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 1429 of file transfer.cpp.

◆ ProlongateTranspose()

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

overridevirtual

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 1460 of file transfer.cpp.

◆ SetAbsTol()

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

overridevirtual

Sets absolute tolerance in preconditioned conjugate gradient solver.

Only used for H1 spaces.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 1495 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 1671 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 1699 of file transfer.cpp.

◆ SetRelTol()

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

overridevirtual

Sets relative tolerance in preconditioned conjugate gradient solver.

Only used for H1 spaces.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 1490 of file transfer.cpp.

◆ SetupPCG()

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

protected

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

Definition at line 1137 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 1713 of file transfer.cpp.

Friends And Related Symbol Documentation

◆ L2ProjectionL2Space

friend class L2ProjectionL2Space

friend

Definition at line 488 of file transfer.hpp.

Member Data Documentation

◆ fes_ho_scalar

std::unique_ptr<FiniteElementSpace> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::fes_ho_scalar

protected

Definition at line 475 of file transfer.hpp.

◆ fes_lor_scalar

std::unique_ptr<FiniteElementSpace> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::fes_lor_scalar

protected

Definition at line 476 of file transfer.hpp.

◆ M_LH

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

protected

Definition at line 464 of file transfer.hpp.

◆ M_LH_ea

Vector mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::M_LH_ea

protected

Definition at line 478 of file transfer.hpp.

◆ M_LH_local_op

Operator* mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::M_LH_local_op

protected

Definition at line 472 of file transfer.hpp.

◆ ML_inv_ea

Vector mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::ML_inv_ea

protected

Definition at line 480 of file transfer.hpp.

◆ ML_inv_vea

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

protected

Definition at line 469 of file transfer.hpp.

◆ pcg

CGSolver mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::pcg

protected

Definition at line 456 of file transfer.hpp.

◆ pfes_ho_scalar

std::unique_ptr<ParFiniteElementSpace> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::pfes_ho_scalar

protected

Definition at line 483 of file transfer.hpp.

◆ pfes_lor_scalar

std::unique_ptr<ParFiniteElementSpace> mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::pfes_lor_scalar

protected

Definition at line 484 of file transfer.hpp.

◆ precon

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

protected

Definition at line 457 of file transfer.hpp.

◆ R

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

protected

Definition at line 462 of file transfer.hpp.

◆ RML_inv

Vector mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::RML_inv

protected

Definition at line 485 of file transfer.hpp.

◆ RTxM_LH

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

protected

Definition at line 466 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

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ L2ProjectionH1Space() [1/2]

◆ L2ProjectionH1Space() [2/2]

Member Function Documentation

◆ AllocR()

◆ ComputeSparseRAndM_LH()

◆ EAL2ProjectionH1Space() [1/2]

◆ EAL2ProjectionH1Space() [2/2]

◆ GetTDofs()

◆ GetTDofsTranspose()

◆ LumpedMassInverse()

◆ Mult()

◆ MultTranspose()

◆ Prolongate()

◆ ProlongateTranspose()

◆ SetAbsTol()

◆ SetFromTDofs()

◆ SetFromTDofsTranspose()

◆ SetRelTol()

◆ SetupPCG()

◆ TDofsListByVDim()

Friends And Related Symbol Documentation

◆ L2ProjectionL2Space

Member Data Documentation

◆ fes_ho_scalar

◆ fes_lor_scalar

◆ M_LH

◆ M_LH_ea

◆ M_LH_local_op

◆ ML_inv_ea

◆ ML_inv_vea

◆ pcg

◆ pfes_ho_scalar

◆ pfes_lor_scalar

◆ precon

◆ R

◆ RML_inv

◆ RTxM_LH