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MFEM v4.7.0
Finite element discretization library
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MFEM v4.7.0
Finite element discretization library
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The operator x -> R*A*P*x constructed through the actions of R^T, A and P. More...
#include <operator.hpp>
Public Member Functions | |
| RAPOperator (const Operator &Rt_, const Operator &A_, const Operator &P_) | |
| Construct the RAP operator given R^T, A and P. | |
| virtual MemoryClass | GetMemoryClass () const |
| Return the MemoryClass preferred by the Operator. | |
| virtual void | Mult (const Vector &x, Vector &y) const |
| Operator application. | |
| virtual void | AssembleDiagonal (Vector &diag) const |
| Approximate diagonal of the RAP Operator. | |
| virtual void | MultTranspose (const Vector &x, Vector &y) const |
| Application of the transpose. | |
 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 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 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. | |
| virtual const Operator * | GetProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. | |
| virtual const Operator * | GetRestriction () const |
Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity. | |
| virtual const Operator * | GetOutputProlongation () const |
Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity. | |
| virtual const Operator * | GetOutputRestrictionTranspose () const |
| Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators. | |
| virtual const Operator * | GetOutputRestriction () 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. | |
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... | |
| 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() | |
| 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". | |
| 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. | |
The operator x -> R*A*P*x constructed through the actions of R^T, A and P.
Definition at line 816 of file operator.hpp.
Construct the RAP operator given R^T, A and P.
Definition at line 433 of file operator.cpp.
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inlinevirtual |
Approximate diagonal of the RAP Operator.
Returns the diagonal of A, as returned by its AssembleDiagonal method, multiplied be P^T.
When P is the FE space prolongation operator on a mesh without hanging nodes and Rt = P, the returned diagonal is exact, as long as the diagonal of A is also exact.
Reimplemented from mfem::Operator.
Definition at line 843 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 from mfem::Operator.
Definition at line 830 of file operator.hpp.
Application of the transpose.
Reimplemented from mfem::Operator.
Definition at line 854 of file operator.hpp.
1.11.0