MFEM v4.7.0
Finite element discretization library
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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_)
 
 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 OperatorGetGradient (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 OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity.
 
virtual const OperatorGetRestriction () const
 Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
 
virtual const OperatorGetOutputProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity.
 
virtual const OperatorGetOutputRestrictionTranspose () const
 Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
 
virtual const OperatorGetOutputRestriction () 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< SparseMatrixAllocR ()
 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()
 
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".
 

Protected Attributes

CGSolver pcg
 
std::unique_ptr< Solverprecon
 
std::unique_ptr< OperatorR
 
std::unique_ptr< OperatorM_LH
 
std::unique_ptr< OperatorRTxM_LH
 
- 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.
 
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: