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MFEM
v4.6.0
Finite element discretization library
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#include <pfem_extras.hpp>
Public Member Functions | |
ParDiscreteInterpolationOperator (ParFiniteElementSpace *dfes, ParFiniteElementSpace *rfes) | |
virtual | ~ParDiscreteInterpolationOperator () |
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ParDiscreteLinearOperator (ParFiniteElementSpace *dfes, ParFiniteElementSpace *rfes) | |
Construct a ParDiscreteLinearOperator on the given FiniteElementSpaces dfes (domain FE space) and rfes (range FE space). More... | |
HypreParMatrix * | ParallelAssemble () const |
Returns the matrix "assembled" on the true dofs. More... | |
void | ParallelAssemble (OperatorHandle &A) |
Returns the matrix assembled on the true dofs, i.e. A = R_test A_local P_trial, in the format (type id) specified by A. More... | |
void | GetParBlocks (Array2D< HypreParMatrix *> &blocks) const |
virtual void | FormRectangularSystemMatrix (OperatorHandle &A) |
Return in A a parallel (on truedofs) version of this operator. More... | |
virtual | ~ParDiscreteLinearOperator () |
virtual void | FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A) |
Return in A that is column-constrained. More... | |
template<typename OpType > | |
void | FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OpType &A) |
Form the column-constrained linear system matrix A. See FormRectangularSystemMatrix() for details. More... | |
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DiscreteLinearOperator (FiniteElementSpace *domain_fes, FiniteElementSpace *range_fes) | |
Construct a DiscreteLinearOperator on the given FiniteElementSpaces domain_fes and range_fes. More... | |
void | AddDomainInterpolator (DiscreteInterpolator *di) |
Adds a domain interpolator. Assumes ownership of di. More... | |
void | AddTraceFaceInterpolator (DiscreteInterpolator *di) |
Adds a trace face interpolator. Assumes ownership of di. More... | |
Array< BilinearFormIntegrator * > * | GetDI () |
Access all interpolators added with AddDomainInterpolator(). More... | |
void | SetAssemblyLevel (AssemblyLevel assembly_level) |
Set the desired assembly level. The default is AssemblyLevel::FULL. More... | |
virtual void | Assemble (int skip_zeros=1) |
Construct the internal matrix representation of the discrete linear operator. More... | |
virtual const Operator * | GetOutputRestrictionTranspose () const |
Get the output finite element space restriction matrix in transposed form. More... | |
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MixedBilinearForm (FiniteElementSpace *tr_fes, FiniteElementSpace *te_fes) | |
Construct a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces. More... | |
MixedBilinearForm (FiniteElementSpace *tr_fes, FiniteElementSpace *te_fes, MixedBilinearForm *mbf) | |
Create a MixedBilinearForm on the given trial, tr_fes, and test, te_fes, FiniteElementSpaces, using the same integrators as the MixedBilinearForm mbf. More... | |
virtual double & | Elem (int i, int j) |
Returns a reference to: \( M_{ij} \). More... | |
virtual const double & | Elem (int i, int j) const |
Returns a reference to: \( M_{ij} \). More... | |
virtual void | Mult (const Vector &x, Vector &y) const |
Matrix multiplication: \( y = M x \). 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 | 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 | 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 MatrixInverse * | Inverse () const |
Returns a pointer to (an approximation) of the matrix inverse. More... | |
virtual void | Finalize (int skip_zeros=1) |
Finalizes the matrix initialization. More... | |
void | GetBlocks (Array2D< SparseMatrix *> &blocks) const |
const SparseMatrix & | SpMat () const |
Returns a const reference to the sparse matrix: \( M \). More... | |
SparseMatrix & | SpMat () |
Returns a reference to the sparse matrix: \( M \). More... | |
SparseMatrix * | LoseMat () |
Nullifies the internal matrix \( M \) and returns a pointer to it. Used for transferring ownership. More... | |
void | AddDomainIntegrator (BilinearFormIntegrator *bfi) |
Adds a domain integrator. Assumes ownership of bfi. More... | |
void | AddBoundaryIntegrator (BilinearFormIntegrator *bfi) |
Adds a boundary integrator. Assumes ownership of bfi. More... | |
void | AddBoundaryIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker) |
Adds a boundary integrator. Assumes ownership of bfi. More... | |
void | AddTraceFaceIntegrator (BilinearFormIntegrator *bfi) |
Add a trace face integrator. Assumes ownership of bfi. More... | |
void | AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi) |
Adds a boundary trace face integrator. Assumes ownership of bfi. More... | |
void | AddBdrTraceFaceIntegrator (BilinearFormIntegrator *bfi, Array< int > &bdr_marker) |
Adds a boundary trace face integrator. Assumes ownership of bfi. More... | |
Array< BilinearFormIntegrator * > * | GetDBFI () |
Access all integrators added with AddDomainIntegrator(). More... | |
Array< BilinearFormIntegrator * > * | GetBBFI () |
Access all integrators added with AddBoundaryIntegrator(). More... | |
Array< Array< int > * > * | GetBBFI_Marker () |
Access all boundary markers added with AddBoundaryIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL. More... | |
Array< BilinearFormIntegrator * > * | GetTFBFI () |
Access all integrators added with AddTraceFaceIntegrator(). More... | |
Array< BilinearFormIntegrator * > * | GetBTFBFI () |
Access all integrators added with AddBdrTraceFaceIntegrator(). More... | |
Array< Array< int > * > * | GetBTFBFI_Marker () |
Access all boundary markers added with AddBdrTraceFaceIntegrator(). If no marker was specified when the integrator was added, the corresponding pointer (to Array<int>) will be NULL. More... | |
void | operator= (const double a) |
Sets all sparse values of \( M \) to a. More... | |
void | SetAssemblyLevel (AssemblyLevel assembly_level) |
Set the desired assembly level. The default is AssemblyLevel::LEGACY. More... | |
void | Assemble (int skip_zeros=1) |
void | AssembleDiagonal_ADAt (const Vector &D, Vector &diag) const |
Assemble the diagonal of ADA^T into diag, where A is this mixed bilinear form and D is a diagonal. More... | |
virtual const Operator * | GetProlongation () const |
Get the input finite element space prolongation matrix. More... | |
virtual const Operator * | GetRestriction () const |
Get the input finite element space restriction matrix. More... | |
virtual const Operator * | GetOutputProlongation () const |
Get the test finite element space prolongation matrix. More... | |
virtual const Operator * | GetOutputRestriction () const |
Get the test finite element space restriction matrix. More... | |
void | ConformingAssemble () |
void | ComputeElementMatrix (int i, DenseMatrix &elmat) |
Compute the element matrix of the given element. More... | |
void | ComputeBdrElementMatrix (int i, DenseMatrix &elmat) |
Compute the boundary element matrix of the given boundary element. More... | |
void | AssembleElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1) |
Assemble the given element matrix. More... | |
void | AssembleElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1) |
Assemble the given element matrix. More... | |
void | AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, int skip_zeros=1) |
Assemble the given boundary element matrix. More... | |
void | AssembleBdrElementMatrix (int i, const DenseMatrix &elmat, Array< int > &trial_vdofs, Array< int > &test_vdofs, int skip_zeros=1) |
Assemble the given boundary element matrix. More... | |
void | EliminateTrialDofs (const Array< int > &bdr_attr_is_ess, const Vector &sol, Vector &rhs) |
void | EliminateEssentialBCFromTrialDofs (const Array< int > &marked_vdofs, const Vector &sol, Vector &rhs) |
virtual void | EliminateTestDofs (const Array< int > &bdr_attr_is_ess) |
virtual void | FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OperatorHandle &A) |
Return in A that is column-constrained. More... | |
template<typename OpType > | |
void | FormRectangularSystemMatrix (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, OpType &A) |
Form the column-constrained linear system matrix A. See FormRectangularSystemMatrix() for details. More... | |
virtual void | FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OperatorHandle &A, Vector &X, Vector &B) |
Form the linear system A X = B, corresponding to this mixed bilinear form and the linear form b(.). More... | |
template<typename OpType > | |
void | FormRectangularLinearSystem (const Array< int > &trial_tdof_list, const Array< int > &test_tdof_list, Vector &x, Vector &b, OpType &A, Vector &X, Vector &B) |
Form the linear system A X = B, corresponding to this bilinear form and the linear form b(.). More... | |
void | Update () |
FiniteElementSpace * | TrialFESpace () |
Return the trial FE space associated with the BilinearForm. More... | |
const FiniteElementSpace * | TrialFESpace () const |
Read-only access to the associated trial FiniteElementSpace. More... | |
FiniteElementSpace * | TestFESpace () |
Return the test FE space associated with the BilinearForm. More... | |
const FiniteElementSpace * | TestFESpace () const |
Read-only access to the associated test FiniteElementSpace. More... | |
virtual | ~MixedBilinearForm () |
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Matrix (int s) | |
Creates a square matrix of size s. More... | |
Matrix (int h, int w) | |
Creates a matrix of the given height and width. More... | |
bool | IsSquare () const |
Returns whether the matrix is a square matrix. More... | |
virtual void | Print (std::ostream &out=mfem::out, int width_=4) const |
Prints matrix to stream out. More... | |
virtual | ~Matrix () |
Destroys matrix. More... | |
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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 | 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... | |
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... | |
Definition at line 85 of file pfem_extras.hpp.
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Definition at line 88 of file pfem_extras.hpp.
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Definition at line 73 of file pfem_extras.cpp.