MFEM  v4.3.0 Finite element discretization library
mfem::L2ProjectionGridTransfer::L2ProjectionH1Space Class Reference

#include <transfer.hpp>

Inheritance diagram for mfem::L2ProjectionGridTransfer::L2ProjectionH1Space:
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Collaboration diagram for mfem::L2ProjectionGridTransfer::L2ProjectionH1Space:
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## Public Member Functions

L2ProjectionH1Space (const FiniteElementSpace &fes_ho_, const FiniteElementSpace &fes_lor_)

virtual ~L2ProjectionH1Space ()

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 (double p_rtol_)

virtual void SetAbsTol (double p_atol_)

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. More...

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

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

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

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

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

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

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

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

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. More...

virtual const OperatorGetProlongation () const
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More...

virtual const OperatorGetRestriction () const
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More...

virtual const OperatorGetOutputProlongation () const
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity. More...

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

virtual const OperatorGetOutputRestriction () const
Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More...

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. More...

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. More...

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(). More...

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

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). More...

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

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

virtual ~Operator ()
Virtual destructor. More...

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

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
}
Enumeration defining IDs for some classes derived from Operator. More...

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() More...

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

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

Protected Attributes inherited from mfem::L2ProjectionGridTransfer::L2Projection
const FiniteElementSpacefes_ho

const FiniteElementSpacefes_lor

Table ho2lor

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

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

## Detailed Description

Class for 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 257 of file transfer.hpp.

## Constructor & Destructor Documentation

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

Definition at line 529 of file transfer.cpp.

 mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::~L2ProjectionH1Space ( )
virtual

Definition at line 671 of file transfer.cpp.

## Member Function Documentation

 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 676 of file transfer.cpp.

 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 697 of file transfer.cpp.

 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 718 of file transfer.cpp.

 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 743 of file transfer.cpp.

 void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetAbsTol ( double p_atol_ )
virtual

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 773 of file transfer.cpp.

 void mfem::L2ProjectionGridTransfer::L2ProjectionH1Space::SetRelTol ( double p_rtol_ )
virtual

Sets relative tolerance and absolute tolerance in preconditioned conjugate gradient solver. Only used for H1 spaces.

Implements mfem::L2ProjectionGridTransfer::L2Projection.

Definition at line 768 of file transfer.cpp.

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