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MFEM
v4.3.0
Finite element discretization library
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MFEM
v4.3.0
Finite element discretization library
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Operator that converts L2 FiniteElementSpace L-vectors to E-vectors. More...
#include <restriction.hpp>
Public Member Functions | |
| L2ElementRestriction (const FiniteElementSpace &) | |
| void | Mult (const Vector &x, Vector &y) const |
Operator application: y=A(x). More... | |
| 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... | |
| void | FillI (SparseMatrix &mat) const |
| void | FillJAndData (const Vector &ea_data, SparseMatrix &mat) const |
 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 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=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... | |
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 } |
| Enumeration defining IDs for some classes derived from Operator. More... | |
| 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... | |
| 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 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... | |
Operator that converts L2 FiniteElementSpace L-vectors to E-vectors.
Objects of this type are typically created and owned by FiniteElementSpace objects, see FiniteElementSpace::GetElementRestriction(). L-vectors corresponding to grid functions in L2 finite element spaces differ from E-vectors only in the ordering of the degrees of freedom.
Definition at line 84 of file restriction.hpp.
| mfem::L2ElementRestriction::L2ElementRestriction | ( | const FiniteElementSpace & | fes | ) |
Definition at line 465 of file restriction.cpp.
| void mfem::L2ElementRestriction::FillI | ( | SparseMatrix & | mat | ) | const |
Fill the I array of SparseMatrix corresponding to the sparsity pattern given by this ElementRestriction.
Definition at line 514 of file restriction.cpp.
| void mfem::L2ElementRestriction::FillJAndData | ( | const Vector & | ea_data, |
| SparseMatrix & | mat | ||
| ) | const |
Fill the J and Data arrays of SparseMatrix corresponding to the sparsity pattern given by this L2FaceRestriction, and the values of ea_data.
Definition at line 533 of file restriction.cpp.
Operator application: y=A(x).
Implements mfem::Operator.
Definition at line 476 of file restriction.cpp.
Action of the transpose operator: y=A^t(x). The default behavior in class Operator is to generate an error.
Reimplemented from mfem::Operator.
Definition at line 495 of file restriction.cpp.
1.8.5
