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. More...
virtual const Operator &	BackwardOperator ()
	Return an Operator that transfers GridFunctions from the range FE space back to GridFunctions in the domain FE space. More...
Public Member Functions inherited from mfem::GridTransfer
	GridTransfer (FiniteElementSpace &dom_fes_, FiniteElementSpace &ran_fes_)
virtual	~GridTransfer ()
	Virtual destructor. More...
void	SetOperatorType (Operator::Type type)
	Set the desired Operator::Type for the construction of all operators defined by the underlying transfer algorithm. More...
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. More...
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. More...

Protected Attributes
L2Projection *	F
	Forward, coarse-to-fine, operator. More...
L2Prolongation *	B
	Backward, fine-to-coarse, operator. More...
bool	force_l2_space
Protected Attributes inherited from mfem::GridTransfer
FiniteElementSpace &	dom_fes
	Domain FE space. More...
FiniteElementSpace &	ran_fes
	Range FE space. More...
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. More...
OperatorHandle	fw_t_oper
	Forward true-dof operator. More...
OperatorHandle	bw_t_oper
	Backward true-dof operator. More...
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 168 of file transfer.hpp.

Constructor & Destructor Documentation

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

inline

Definition at line 338 of file transfer.hpp.

mfem::L2ProjectionGridTransfer::~L2ProjectionGridTransfer ( )

virtual

Definition at line 866 of file transfer.cpp.

Member Function Documentation

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 878 of file transfer.cpp.

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 872 of file transfer.cpp.

Member Data Documentation

L2Prolongation* mfem::L2ProjectionGridTransfer::B

protected

Backward, fine-to-coarse, operator.

Definition at line 334 of file transfer.hpp.

L2Projection* mfem::L2ProjectionGridTransfer::F

protected

Forward, coarse-to-fine, operator.

Definition at line 333 of file transfer.hpp.

bool mfem::L2ProjectionGridTransfer::force_l2_space

protected

Definition at line 335 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