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MFEM
v4.5.2
Finite element discretization library
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MFEM
v4.5.2
Finite element discretization library
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Specialization of the ComplexOperator built from a pair of Sparse Matrices. More...
#include <complex_operator.hpp>
Public Member Functions | |
| ComplexSparseMatrix (SparseMatrix *A_Real, SparseMatrix *A_Imag, bool ownReal, bool ownImag, Convention convention=HERMITIAN) | |
| virtual SparseMatrix & | real () |
| Real or imaginary part accessor methods. More... | |
| virtual SparseMatrix & | imag () |
| virtual const SparseMatrix & | real () const |
| virtual const SparseMatrix & | imag () const |
| SparseMatrix * | GetSystemMatrix () const |
| virtual Type | GetType () const |
 Public Member Functions inherited from mfem::ComplexOperator | |
| ComplexOperator (Operator *Op_Real, Operator *Op_Imag, bool ownReal, bool ownImag, Convention convention=HERMITIAN) | |
| Constructs complex operator object. More... | |
| virtual | ~ComplexOperator () |
| bool | hasRealPart () const |
| Check for existence of real or imaginary part of the operator. More... | |
| bool | hasImagPart () const |
| virtual void | Mult (const Vector &x, Vector &y) const |
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... | |
| Convention | GetConvention () const |
| 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... | |
| 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 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... | |
Additional Inherited Members | |
| Public Types inherited from mfem::ComplexOperator | |
| enum | Convention { HERMITIAN, BLOCK_SYMMETRIC } |
| 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::ComplexOperator | |
| void | Mult (const Vector &x_r, const Vector &x_i, Vector &y_r, Vector &y_i) const |
| void | MultTranspose (const Vector &x_r, const Vector &x_i, Vector &y_r, Vector &y_i) const |
| 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::ComplexOperator | |
| Operator * | Op_Real_ |
| Operator * | Op_Imag_ |
| bool | ownReal_ |
| bool | ownImag_ |
| Convention | convention_ |
| Vector | x_r_ |
| Vector | x_i_ |
| Vector | y_r_ |
| Vector | y_i_ |
| Vector * | u_ |
| Vector * | v_ |
| 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... | |
Specialization of the ComplexOperator built from a pair of Sparse Matrices.
The purpose of this specialization is to construct a single SparseMatrix object which is equivalent to the 2x2 block system that the ComplexOperator mimics. The resulting SparseMatrix can then be passed along to solvers which require access to the CSR matrix data such as SuperLU, STRUMPACK, or similar sparse linear solvers.
See ComplexOperator documentation above for more information.
Definition at line 154 of file complex_operator.hpp.
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Definition at line 157 of file complex_operator.hpp.
| SparseMatrix * mfem::ComplexSparseMatrix::GetSystemMatrix | ( | ) | const |
Combine the blocks making up this complex operator into a single SparseMatrix. The resulting matrix can be passed to solvers which require access to the matrix entries themselves, such as sparse direct solvers, rather than simply the action of the operator. Note that this combined operator requires roughly twice the memory of the block structured operator.
Definition at line 192 of file complex_operator.cpp.
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Reimplemented from mfem::ComplexOperator.
Definition at line 177 of file complex_operator.hpp.
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Reimplemented from mfem::ComplexOperator.
Definition at line 174 of file complex_operator.cpp.
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Reimplemented from mfem::ComplexOperator.
Definition at line 186 of file complex_operator.cpp.
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Real or imaginary part accessor methods.
The following accessor methods should only be called if the requested part of the operator is known to exist. This can be checked with hasRealPart() or hasImagPart().
Reimplemented from mfem::ComplexOperator.
Definition at line 168 of file complex_operator.cpp.
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Reimplemented from mfem::ComplexOperator.
Definition at line 180 of file complex_operator.cpp.
1.8.14