mfem::L2ProjectionGridTransfer Class Reference

Transfer data in L2 and H1 finite element spaces between a coarse mesh and an embedded refined mesh using L2 projection. More...

#include <transfer.hpp>

Inheritance diagram for mfem::L2ProjectionGridTransfer:

Collaboration diagram for mfem::L2ProjectionGridTransfer:

Classes
class	L2Projection
class	L2ProjectionH1Space
class	L2ProjectionL2Space
class	L2Prolongation

Public Member Functions
	L2ProjectionGridTransfer (FiniteElementSpace &coarse_fes_, FiniteElementSpace &fine_fes_, bool force_l2_space_=false)
virtual	~L2ProjectionGridTransfer ()
virtual const Operator &	ForwardOperator ()
	Return an Operator that transfers GridFunctions from the domain FE space to GridFunctions in the range FE space.
virtual const Operator &	BackwardOperator ()
	Return an Operator that transfers GridFunctions from the range FE space back to GridFunctions in the domain FE space.
virtual bool	SupportsBackwardsOperator () const
Public Member Functions inherited from mfem::GridTransfer
	GridTransfer (FiniteElementSpace &dom_fes_, FiniteElementSpace &ran_fes_)
virtual	~GridTransfer ()
	Virtual destructor.
void	SetOperatorType (Operator::Type type)
	Set the desired Operator::Type for the construction of all operators defined by the underlying transfer algorithm.
virtual const Operator &	TrueForwardOperator ()
	Return an Operator that transfers true-dof Vectors from the domain FE space to true-dof Vectors in the range FE space.
virtual const Operator &	TrueBackwardOperator ()
	Return an Operator that transfers true-dof Vectors from the range FE space back to true-dof Vectors in the domain FE space.

Protected Attributes
L2Projection *	F
	Forward, coarse-to-fine, operator.
L2Prolongation *	B
	Backward, fine-to-coarse, operator.
bool	force_l2_space
Protected Attributes inherited from mfem::GridTransfer
FiniteElementSpace &	dom_fes
	Domain FE space.
FiniteElementSpace &	ran_fes
	Range FE space.
Operator::Type	oper_type
	Desired Operator::Type for the construction of all operators defined by the underlying transfer algorithm. It can be ignored by derived classes.
OperatorHandle	fw_t_oper
	Forward true-dof operator.
OperatorHandle	bw_t_oper
	Backward true-dof operator.
bool	parallel

Additional Inherited Members
Protected Member Functions inherited from mfem::GridTransfer
bool	Parallel () const
const Operator &	MakeTrueOperator (FiniteElementSpace &fes_in, FiniteElementSpace &fes_out, const Operator &oper, OperatorHandle &t_oper)

Detailed Description

Transfer data in L2 and H1 finite element spaces between a coarse mesh and an embedded refined mesh using L2 projection.

The forward, coarse-to-fine, transfer uses L2 projection. The backward, fine-to-coarse, transfer is defined as B = (F^t M_f F)^{-1} F^t M_f, where F is the forward transfer matrix, and M_f is the mass matrix on the coarse element. For L2 spaces, M_f is the mass matrix on the union of all fine elements comprising the coarse element. For H1 spaces, M_f is a diagonal (lumped) mass matrix computed through row-summation. Note that the backward transfer operator, B, is a left inverse of the forward transfer operator, F, i.e. B F = I. Both F and B are defined in physical space and, generally for L2 spaces, vary between different mesh elements.

This class supports H1 and L2 finite element spaces. Fine meshes are a uniform refinement of the coarse mesh, usually created through Mesh::MakeRefined. Generally, the coarse and fine FE spaces can have different orders, however, in order for the backward operator to be well-defined, the number of fine dofs (in a coarse element) should not be smaller than the number of coarse dofs.

Definition at line 170 of file transfer.hpp.

Constructor & Destructor Documentation

L2ProjectionGridTransfer()

mfem::L2ProjectionGridTransfer::L2ProjectionGridTransfer ( FiniteElementSpace & coarse_fes_, FiniteElementSpace & fine_fes_, bool force_l2_space_ = false )

inline

Definition at line 379 of file transfer.hpp.

~L2ProjectionGridTransfer()

mfem::L2ProjectionGridTransfer::~L2ProjectionGridTransfer ( )

virtual

Definition at line 1113 of file transfer.cpp.

Member Function Documentation

BackwardOperator()

const Operator & mfem::L2ProjectionGridTransfer::BackwardOperator ( )

virtual

Return an Operator that transfers GridFunctions from the range FE space back to GridFunctions in the domain FE space.

Implements mfem::GridTransfer.

Definition at line 1125 of file transfer.cpp.

ForwardOperator()

const Operator & mfem::L2ProjectionGridTransfer::ForwardOperator ( )

virtual

Return an Operator that transfers GridFunctions from the domain FE space to GridFunctions in the range FE space.

Implements mfem::GridTransfer.

Definition at line 1119 of file transfer.cpp.

SupportsBackwardsOperator()

bool mfem::L2ProjectionGridTransfer::SupportsBackwardsOperator ( ) const

virtual

Reimplemented from mfem::GridTransfer.

Definition at line 1161 of file transfer.cpp.

Member Data Documentation

B

L2Prolongation* mfem::L2ProjectionGridTransfer::B

protected

Backward, fine-to-coarse, operator.

Definition at line 375 of file transfer.hpp.

F

L2Projection* mfem::L2ProjectionGridTransfer::F

protected

Forward, coarse-to-fine, operator.

Definition at line 374 of file transfer.hpp.

force_l2_space

bool mfem::L2ProjectionGridTransfer::force_l2_space

protected

Definition at line 376 of file transfer.hpp.

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

• fem/transfer.hpp
• fem/transfer.cpp