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MFEM
v4.6.0
Finite element discretization library
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Abstract operator. More...
#include <operator.hpp>
Public Types | |
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... | |
Public Member Functions | |
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 void | Mult (const Vector &x, Vector &y) const =0 |
Operator application: y=A(x) . More... | |
virtual void | MultTranspose (const Vector &x, Vector &y) const |
Action of the transpose operator: y=A^t(x) . The default behavior in class Operator is to generate an error. More... | |
virtual void | AddMult (const Vector &x, Vector &y, const double a=1.0) const |
Operator application: y+=A(x) (default) or y+=a*A(x) . More... | |
virtual void | AddMultTranspose (const Vector &x, Vector &y, const double a=1.0) const |
Operator transpose application: y+=A^t(x) (default) or y+=a*A^t(x) . More... | |
virtual void | ArrayMult (const Array< const Vector *> &X, Array< Vector *> &Y) const |
Operator application on a matrix: Y=A(X) . More... | |
virtual void | ArrayMultTranspose (const Array< const Vector *> &X, Array< Vector *> &Y) const |
Action of the transpose operator on a matrix: Y=A^t(X) . More... | |
virtual void | ArrayAddMult (const Array< const Vector *> &X, Array< Vector *> &Y, const double a=1.0) const |
Operator application on a matrix: Y+=A(X) (default) or Y+=a*A(X) . More... | |
virtual void | ArrayAddMultTranspose (const Array< const Vector *> &X, Array< Vector *> &Y, const double a=1.0) const |
Operator transpose application on a matrix: Y+=A^t(X) (default) or Y+=a*A^t(X) . More... | |
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. 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 Operator * | GetProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More... | |
virtual const Operator * | GetRestriction () const |
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. More... | |
virtual const Operator * | GetOutputProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity. More... | |
virtual const Operator * | GetOutputRestrictionTranspose () const |
Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators. More... | |
virtual const Operator * | GetOutputRestriction () 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, int m=0) const |
Prints operator with input size n and output size m in Matlab format. More... | |
virtual void | PrintMatlab (std::ostream &out) const |
Prints operator in Matlab format. More... | |
virtual | ~Operator () |
Virtual destructor. More... | |
Type | GetType () const |
Return the type ID of the Operator class. More... | |
Protected Member Functions | |
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... | |
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". More... | |
Protected Attributes | |
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... | |
Abstract operator.
Definition at line 24 of file operator.hpp.
Defines operator diagonal policy upon elimination of rows and/or columns.
Enumerator | |
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DIAG_ZERO | Set the diagonal value to zero. |
DIAG_ONE | Set the diagonal value to one. |
DIAG_KEEP | Keep the diagonal value. |
Definition at line 47 of file operator.hpp.
enum mfem::Operator::Type |
Enumeration defining IDs for some classes derived from Operator.
This enumeration is primarily used with class OperatorHandle.
Enumerator | |
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ANY_TYPE | ID for the base class Operator, i.e. any type. |
MFEM_SPARSEMAT | ID for class SparseMatrix. |
Hypre_ParCSR | ID for class HypreParMatrix. |
PETSC_MATAIJ | ID for class PetscParMatrix, MATAIJ format. |
PETSC_MATIS | ID for class PetscParMatrix, MATIS format. |
PETSC_MATSHELL | ID for class PetscParMatrix, MATSHELL format. |
PETSC_MATNEST | ID for class PetscParMatrix, MATNEST format. |
PETSC_MATHYPRE | ID for class PetscParMatrix, MATHYPRE format. |
PETSC_MATGENERIC | ID for class PetscParMatrix, unspecified format. |
Complex_Operator | ID for class ComplexOperator. |
MFEM_ComplexSparseMat | ID for class ComplexSparseMatrix. |
Complex_Hypre_ParCSR | ID for class ComplexHypreParMatrix. |
Complex_DenseMat | ID for class ComplexDenseMatrix. |
MFEM_Block_Matrix | ID for class BlockMatrix. |
MFEM_Block_Operator | ID for the base class BlockOperator. |
Definition at line 283 of file operator.hpp.
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inlineexplicit |
Construct a square Operator with given size s (default 0).
Definition at line 59 of file operator.hpp.
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inline |
Construct an Operator with the given height (output size) and width (input size).
Definition at line 63 of file operator.hpp.
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inlinevirtual |
Virtual destructor.
Reimplemented in mfem::ceed::Operator.
Definition at line 279 of file operator.hpp.
Operator application: y+=A(x)
(default) or y+=a*A(x)
.
Reimplemented in mfem::MixedBilinearForm, mfem::HypreParMatrix, mfem::PetscParMatrix, mfem::SparseMatrix, mfem::PADiscreteLinearOperatorExtension, mfem::BilinearForm, mfem::PAMixedBilinearFormExtension, mfem::DenseMatrix, mfem::BlockMatrix, mfem::AbstractSparseMatrix, and mfem::ceed::Operator.
Definition at line 51 of file operator.cpp.
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virtual |
Operator transpose application: y+=A^t(x)
(default) or y+=a*A^t(x)
.
Reimplemented in mfem::NCL2FaceRestriction, mfem::MixedBilinearForm, mfem::HypreParMatrix, mfem::PetscParMatrix, mfem::L2FaceRestriction, mfem::SparseMatrix, mfem::BilinearForm, mfem::PADiscreteLinearOperatorExtension, mfem::ParNCL2FaceRestriction, mfem::ConformingFaceRestriction, mfem::PAMixedBilinearFormExtension, mfem::FaceRestriction, mfem::DenseMatrix, mfem::BlockMatrix, mfem::L2ElementRestriction, mfem::AbstractSparseMatrix, mfem::ParNCH1FaceRestriction, mfem::ElementRestriction, and mfem::ElementRestrictionOperator.
Definition at line 58 of file operator.cpp.
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virtual |
Operator application on a matrix: Y+=A(X)
(default) or Y+=a*A(X)
.
Definition at line 90 of file operator.cpp.
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Operator transpose application on a matrix: Y+=A^t(X)
(default) or Y+=a*A^t(X)
.
Definition at line 102 of file operator.cpp.
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virtual |
Operator application on a matrix: Y=A(X)
.
Reimplemented in mfem::MultigridBase, mfem::SuperLUSolver, and mfem::MUMPSSolver.
Definition at line 66 of file operator.cpp.
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virtual |
Action of the transpose operator on a matrix: Y=A^t(X)
.
Reimplemented in mfem::SuperLUSolver, and mfem::MUMPSSolver.
Definition at line 78 of file operator.cpp.
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inlinevirtual |
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.
Reimplemented in mfem::ConstrainedOperator, mfem::RAPOperator, mfem::HypreParMatrix, mfem::BilinearForm, mfem::MFBilinearFormExtension, mfem::ParBilinearForm, mfem::PABilinearFormExtension, and mfem::BilinearFormExtension.
Definition at line 131 of file operator.hpp.
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protected |
Definition at line 197 of file operator.cpp.
void mfem::Operator::FormDiscreteOperator | ( | Operator *& | A | ) |
Return in A a parallel (on truedofs) version of this rectangular operator.
This is similar to FormSystemOperator(), but for dof-to-dof mappings (discrete linear operators), which can also correspond to rectangular matrices. The user should provide specializations of GetProlongation() for the input dofs and GetOutputRestriction() for the output dofs in their Operator implementation that are appropriate for the two spaces the Operator maps between. These are e.g. available through the (parallel) finite element space of any (parallel) bilinear form operator. We have: A(X)=[Rout (*this) Pin](X)
.
Definition at line 244 of file operator.cpp.
void mfem::Operator::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.
Assuming square operator, form the operator linear system A(X)=B
, corresponding to it and the right-hand side b, by applying any necessary transformations such as: parallel assembly, conforming constraints for non-conforming AMR and eliminating boundary conditions.
The constraints are specified through the prolongation P from GetProlongation(), and restriction R from GetRestriction() methods, which are e.g. available through the (parallel) finite element space of any (parallel) bilinear form operator. We assume that the operator is square, using the same input and output space, so we have: A(X)=[P^t (*this) P](X)
, B=P^t(b)
, and X=R(x)
.
The vector x must contain the essential boundary condition values. These are eliminated through the ConstrainedOperator class and the vector X is initialized by setting its essential entries to the boundary conditions and all other entries to zero (copy_interior == 0) or copied from x (copy_interior != 0).
After solving the system A(X)=B
, the (finite element) solution x can be recovered by calling Operator::RecoverFEMSolution() with the same vectors X, b, and x.
Definition at line 114 of file operator.cpp.
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protected |
see FormRectangularSystemOperator()
Definition at line 210 of file operator.cpp.
void mfem::Operator::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.
Form the operator linear system A(X)=B
corresponding to the operator and the right-hand side b, by applying any necessary transformations such as: parallel assembly, conforming constraints for non-conforming AMR and eliminating boundary conditions.
The constraints are specified through the input prolongation Pi from GetProlongation(), and output restriction Ro from GetOutputRestriction() methods, which are e.g. available through the (parallel) finite element spaces of any (parallel) mixed bilinear form operator. So we have: A(X)=[Ro (*this) Pi](X)
, B=Ro(b)
, and X=Pi^T(x)
.
The vector x must contain the essential boundary condition values. The "columns" in this operator corresponding to these values are eliminated through the RectangularConstrainedOperator class.
After solving the system A(X)=B
, the (finite element) solution x can be recovered by calling Operator::RecoverFEMSolution() with the same vectors X, b, and x.
Definition at line 131 of file operator.cpp.
void mfem::Operator::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).
This returns the same operator as FormRectangularLinearSystem(), but does without the transformations of the right-hand side.
Definition at line 235 of file operator.cpp.
Return in A a parallel (on truedofs) version of this square operator.
This returns the same operator as FormLinearSystem(), but does without the transformations of the right-hand side and initial guess.
Definition at line 227 of file operator.cpp.
Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error.
Reimplemented in mfem::BlockNonlinearForm, mfem::ParametricBNLForm, mfem::NonlinearForm, mfem::MFNonlinearFormExtension, mfem::PANonlinearFormExtension, mfem::ParBlockNonlinearForm, mfem::ParParametricBNLForm, mfem::ParNonlinearForm, mfem::NonlinearFormExtension, and mfem::ElasticityOperator.
Definition at line 122 of file operator.hpp.
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inlinevirtual |
Return the MemoryClass preferred by the Operator.
This is the MemoryClass that will be used to access the input and output vectors in the Mult() and MultTranspose() methods.
For example, classes using the mfem::forall macro for implementation can return the value returned by Device::GetMemoryClass().
The default implementation of this method in class Operator returns MemoryClass::HOST.
Reimplemented in mfem::HypreSolver, mfem::RectangularConstrainedOperator, mfem::ConstrainedOperator, mfem::TripleProductOperator, mfem::RAPOperator, mfem::HypreParMatrix, mfem::SparseMatrix, mfem::MixedBilinearFormExtension, and mfem::BilinearFormExtension.
Definition at line 86 of file operator.hpp.
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inlinevirtual |
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL
means identity.
Reimplemented in mfem::MixedBilinearForm, mfem::BilinearForm, and mfem::MixedBilinearFormExtension.
Definition at line 147 of file operator.hpp.
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inlinevirtual |
Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. NULL
means identity.
Reimplemented in mfem::MixedBilinearForm, mfem::BilinearForm, and mfem::MixedBilinearFormExtension.
Definition at line 160 of file operator.hpp.
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inlinevirtual |
Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
NULL
means identity.
Reimplemented in mfem::DiscreteLinearOperator, mfem::BilinearForm, and mfem::PADiscreteLinearOperatorExtension.
Definition at line 156 of file operator.hpp.
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inlinevirtual |
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL
means identity.
Reimplemented in mfem::MixedBilinearForm, mfem::BilinearForm, mfem::MixedBilinearFormExtension, mfem::NonlinearForm, mfem::ParBilinearForm, mfem::TBilinearForm< meshType, solFESpace, IR, IntegratorType, solVecLayout_t, complex_t, real_t, impl_traits_t >, and mfem::BilinearFormExtension.
Definition at line 139 of file operator.hpp.
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inlinevirtual |
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL
means identity.
Reimplemented in mfem::MixedBilinearForm, mfem::BilinearForm, mfem::MixedBilinearFormExtension, mfem::NonlinearForm, mfem::ParBilinearForm, mfem::TBilinearForm< meshType, solFESpace, IR, IntegratorType, solVecLayout_t, complex_t, real_t, impl_traits_t >, and mfem::BilinearFormExtension.
Definition at line 143 of file operator.hpp.
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inline |
Return the type ID of the Operator class.
This method is intentionally non-virtual, so that it returns the ID of the specific pointer or reference type used when calling this method. If not overridden by derived classes, they will automatically use the type ID of the base Operator class, ANY_TYPE.
Definition at line 307 of file operator.hpp.
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inline |
Get the height (size of output) of the Operator. Synonym with NumRows().
Definition at line 66 of file operator.hpp.
void mfem::Operator::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.
Definition at line 22 of file operator.cpp.
Operator application: y=A(x)
.
Implemented in mfem::NNLSSolver, mfem::AuxSpaceSmoother, mfem::OrthoSolver, mfem::HypreSolver, mfem::ProductSolver, mfem::DirectSubBlockSolver, mfem::KLUSolver, mfem::UMFPackSolver, mfem::HypreSmoother, mfem::BlockILU, mfem::KINSolver, mfem::RectangularConstrainedOperator, mfem::SLBQPOptimizer, mfem::ConstrainedOperator, mfem::PetscNonlinearSolver, mfem::OptimizationSolver, mfem::DenseMatrixInverse, mfem::TripleProductOperator, mfem::NCL2FaceRestriction, mfem::PetscPreconditioner, mfem::RAPOperator, mfem::ProductOperator, mfem::PetscLinearSolver, mfem::LBFGSSolver, mfem::MixedBilinearForm, mfem::TransposeOperator, mfem::ScaledOperator, mfem::IdentityOperator, mfem::HypreParMatrix, mfem::NewtonSolver, mfem::Ginkgo::GinkgoIterativeSolver, mfem::MINRESSolver, mfem::BiCGSTABSolver, mfem::FGMRESSolver, mfem::Ginkgo::GinkgoPreconditioner, mfem::GMRESSolver, mfem::TrueTransferOperator, mfem::CGSolver, mfem::DeviceConformingProlongationOperator, mfem::TensorProductPRefinementTransferOperator, mfem::SLISolver, mfem::FiniteElementSpace::DerefinementOperator, mfem::PRefinementTransferOperator, mfem::ConformingProlongationOperator, mfem::PetscParMatrix, mfem::OperatorChebyshevSmoother, mfem::FiniteElementSpace::RefinementOperator, mfem::L2FaceRestriction, mfem::TransferOperator, mfem::TimeDependentOperator, mfem::L2ProjectionGridTransfer::L2Prolongation, mfem::SparseMatrix, mfem::OperatorJacobiSmoother, mfem::PenaltyConstrainedSolver, mfem::BlockNonlinearForm, mfem::LORSolver< HypreADS >, mfem::ParNCL2FaceRestriction, mfem::BilinearForm, mfem::LORSolver< HypreAMS >, mfem::L2ProjectionGridTransfer::L2ProjectionH1Space, mfem::ConformingFaceRestriction, mfem::PAMixedBilinearFormExtension, mfem::ParametricBNLForm, mfem::HiopNlpOptimizer, mfem::BlockLowerTriangularPreconditioner, mfem::TMOPNewtonSolver, mfem::LORSolver< SolverType >, FE_Evolution, mfem::EliminationSolver, mfem::L2ProjectionGridTransfer::L2ProjectionL2Space, mfem::blocksolvers::DivFreeSolver, mfem::ComplexUMFPackSolver, FE_Evolution, FE_Evolution, FE_Evolution, mfem::MatrixFreeAMS, mfem::ceed::AlgebraicSolver, mfem::electromagnetics::MagneticDiffusionEOperator, mfem::blocksolvers::BDPMinresSolver, mfem::MFBilinearFormExtension, mfem::BlockDiagonalPreconditioner, mfem::ParL2FaceRestriction, mfem::common::DivergenceFreeProjector, mfem::NonlinearForm, mfem::blocksolvers::LocalSolver, mfem::FaceRestriction, mfem::EliminationProjection, mfem::blocksolvers::SaddleSchwarzSmoother, mfem::TBilinearForm< meshType, solFESpace, IR, IntegratorType, solVecLayout_t, complex_t, real_t, impl_traits_t >, mfem::HdivSaddlePointSolver, mfem::FABilinearFormExtension, mfem::DenseMatrix, mfem::AmgXSolver, mfem::MFNonlinearFormExtension, mfem::GeneralAMS, FE_Evolution, mfem::EABilinearFormExtension, FE_Evolution, mfem::common::IrrotationalProjector, mfem::BlockMatrix, mfem::DenseSymmetricMatrix, mfem::ParAdvectorCGOper, mfem::blocksolvers::BBTSolver, mfem::L2ElementRestriction, mfem::ComplexOperator, mfem::PANonlinearFormExtension, mfem::ParBlockNonlinearForm, mfem::MultigridBase, mfem::SuperLUSolver, mfem::BlockOperator, mfem::SerialAdvectorCGOper, mfem::AbstractSparseMatrix, mfem::ceed::AlgebraicInterpolation, mfem::PABilinearFormExtension, mfem::MatrixFreeAuxiliarySpace, mfem::DGMassInverse, mfem::ConstrainedSolver, FE_Evolution, mfem::STRUMPACKSolver, mfem::MUMPSSolver, mfem::ParParametricBNLForm, mfem::DSmoother, mfem::ChangeOfBasis_RT, mfem::CPardisoSolver, mfem::SuperLURowLocMatrix, mfem::PardisoSolver, mfem::electromagnetics::MaxwellSolver, mfem::ElementRestriction, mfem::ParNCH1FaceRestriction, mfem::ParNonlinearForm, mfem::GSSmoother, mfem::AdvectionOper, mfem::STRUMPACKRowLocMatrix, FE_Evolution, mfem::ElasticityDiagonalPreconditioner, mfem::ceed::Operator, mfem::ElasticityOperator, mfem::ChangeOfBasis_L2, and mfem::ElasticityGradientOperator.
Action of the transpose operator: y=A^t(x)
. The default behavior in class Operator is to generate an error.
Reimplemented in mfem::AuxSpaceSmoother, mfem::ProductSolver, mfem::KLUSolver, mfem::UMFPackSolver, mfem::HypreSmoother, mfem::RectangularConstrainedOperator, mfem::TripleProductOperator, mfem::RAPOperator, mfem::PetscPreconditioner, mfem::ProductOperator, mfem::PetscLinearSolver, mfem::MixedBilinearForm, mfem::TransposeOperator, mfem::ScaledOperator, mfem::IdentityOperator, mfem::HypreParMatrix, mfem::TrueTransferOperator, mfem::DeviceConformingProlongationOperator, mfem::TensorProductPRefinementTransferOperator, mfem::PRefinementTransferOperator, mfem::PetscParMatrix, mfem::ConformingProlongationOperator, mfem::OperatorChebyshevSmoother, mfem::FiniteElementSpace::RefinementOperator, mfem::TransferOperator, mfem::L2ProjectionGridTransfer::L2Prolongation, mfem::SparseMatrix, mfem::OperatorJacobiSmoother, mfem::BilinearForm, mfem::L2ProjectionGridTransfer::L2ProjectionH1Space, mfem::PAMixedBilinearFormExtension, mfem::BlockLowerTriangularPreconditioner, mfem::L2ProjectionGridTransfer::L2ProjectionL2Space, mfem::ComplexUMFPackSolver, mfem::FaceRestriction, mfem::MFBilinearFormExtension, mfem::BlockDiagonalPreconditioner, mfem::EliminationProjection, mfem::blocksolvers::SaddleSchwarzSmoother, mfem::DenseMatrix, mfem::FABilinearFormExtension, mfem::BlockMatrix, mfem::EABilinearFormExtension, mfem::blocksolvers::SymDirectSubBlockSolver, mfem::L2ElementRestriction, mfem::ComplexOperator, mfem::SuperLUSolver, mfem::BlockOperator, mfem::AbstractSparseMatrix, mfem::ceed::AlgebraicInterpolation, mfem::PABilinearFormExtension, mfem::DGMassInverse, mfem::MUMPSSolver, mfem::ChangeOfBasis_RT, mfem::ElementRestriction, and mfem::ChangeOfBasis_L2.
Definition at line 93 of file operator.hpp.
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Get the number of columns (size of input) of the Operator. Synonym with Width().
Definition at line 75 of file operator.hpp.
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Get the number of rows (size of output) of the Operator. Synonym with Height().
Definition at line 69 of file operator.hpp.
void mfem::Operator::PrintMatlab | ( | std::ostream & | out, |
int | n, | ||
int | m = 0 |
||
) | const |
Prints operator with input size n and output size m in Matlab format.
Definition at line 251 of file operator.cpp.
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virtual |
Prints operator in Matlab format.
Reimplemented in mfem::SparseMatrix, mfem::DenseMatrix, and mfem::BlockMatrix.
Definition at line 276 of file operator.cpp.
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().
Call this method after solving a linear system constructed using Operator::FormLinearSystem() to recover the solution as an input vector, x, for this Operator (presumably a finite element grid function). This method has identical signature to the analogous method for bilinear forms, though currently b is not used in the implementation.
Reimplemented in mfem::BilinearForm, and mfem::ParBilinearForm.
Definition at line 148 of file operator.cpp.
Returns RAP Operator of this, using input/output Prolongation matrices Pi corresponds to "P", Po corresponds to "Rt".
Definition at line 168 of file operator.cpp.
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Get the width (size of input) of the Operator. Synonym with NumCols().
Definition at line 72 of file operator.hpp.
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Dimension of the output / number of rows in the matrix.
Definition at line 27 of file operator.hpp.
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protected |
Dimension of the input / number of columns in the matrix.
Definition at line 28 of file operator.hpp.