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MFEM
v4.5.1
Finite element discretization library
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MFEM
v4.5.1
Finite element discretization library
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Geometric multigrid associated with a hierarchy of finite element spaces. More...
#include <multigrid.hpp>
Public Member Functions | |
| GeometricMultigrid (const FiniteElementSpaceHierarchy &fespaces_) | |
| virtual | ~GeometricMultigrid () |
| Destructor. More... | |
| void | FormFineLinearSystem (Vector &x, Vector &b, OperatorHandle &A, Vector &X, Vector &B) |
| void | RecoverFineFEMSolution (const Vector &X, const Vector &b, Vector &x) |
| Recover the solution of a linear system formed with FormFineLinearSystem() More... | |
 Public Member Functions inherited from mfem::Multigrid | |
| Multigrid () | |
| Constructs an empty multigrid hierarchy. More... | |
| Multigrid (const Array< Operator * > &operators_, const Array< Solver * > &smoothers_, const Array< Operator * > &prolongations_, const Array< bool > &ownedOperators_, const Array< bool > &ownedSmoothers_, const Array< bool > &ownedProlongations_) | |
| Constructs a multigrid hierarchy from the given inputs. More... | |
| virtual | ~Multigrid () |
| Destructor. More... | |
| void | AddLevel (Operator *opr, Solver *smoother, bool ownOperator, bool ownSmoother) |
| Adds a level to the multigrid operator hierarchy. More... | |
| int | NumLevels () const |
| Returns the number of levels. More... | |
| int | GetFinestLevelIndex () const |
| Returns the index of the finest level. More... | |
| const Operator * | GetOperatorAtLevel (int level) const |
| Returns operator at given level. More... | |
| Operator * | GetOperatorAtLevel (int level) |
| Returns operator at given level. More... | |
| const Operator * | GetOperatorAtFinestLevel () const |
| Returns operator at finest level. More... | |
| Operator * | GetOperatorAtFinestLevel () |
| Returns operator at finest level. More... | |
| Solver * | GetSmootherAtLevel (int level) const |
| Returns smoother at given level. More... | |
| Solver * | GetSmootherAtLevel (int level) |
| Returns smoother at given level. More... | |
| void | SetCycleType (CycleType cycleType_, int preSmoothingSteps_, int postSmoothingSteps_) |
| Set cycle type and number of pre- and post-smoothing steps used by Mult. More... | |
| virtual void | Mult (const Vector &x, Vector &y) const override |
| Application of the multigrid as a preconditioner. More... | |
| virtual void | SetOperator (const Operator &op) override |
| Not supported for multigrid. More... | |
| Public Member Functions inherited from mfem::Solver | |
| Solver (int s=0, bool iter_mode=false) | |
| Initialize a square Solver with size s. More... | |
| Solver (int h, int w, bool iter_mode=false) | |
| Initialize a Solver with height h and width w. 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 | 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 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 Attributes | |
| const FiniteElementSpaceHierarchy & | fespaces |
| Array< Array< int > * > | essentialTrueDofs |
| Array< BilinearForm * > | bfs |
| Protected Attributes inherited from mfem::Multigrid | |
| Array< Operator * > | operators |
| Array< Solver * > | smoothers |
| Array< Operator * > | prolongations |
| Array< bool > | ownedOperators |
| Array< bool > | ownedSmoothers |
| Array< bool > | ownedProlongations |
| CycleType | cycleType |
| int | preSmoothingSteps |
| int | postSmoothingSteps |
| Array< Vector * > | X |
| Array< Vector * > | Y |
| Array< Vector * > | R |
| Array< Vector * > | Z |
| 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... | |
Additional Inherited Members | |
| Public Types inherited from mfem::Multigrid | |
| enum | CycleType { CycleType::VCYCLE, CycleType::WCYCLE } |
| 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... | |
| Public Attributes inherited from mfem::Solver | |
| bool | iterative_mode |
| If true, use the second argument of Mult() as an initial guess. 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... | |
Geometric multigrid associated with a hierarchy of finite element spaces.
Definition at line 119 of file multigrid.hpp.
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Construct an empty multigrid object for the given finite element space hierarchy fespaces_
Definition at line 129 of file multigrid.hpp.
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Destructor.
Definition at line 229 of file multigrid.cpp.
| void mfem::GeometricMultigrid::FormFineLinearSystem | ( | Vector & | x, |
| Vector & | b, | ||
| OperatorHandle & | A, | ||
| Vector & | X, | ||
| Vector & | B | ||
| ) |
Form the linear system A X = B, corresponding to the operator on the finest level of the geometric multigrid hierarchy
Definition at line 246 of file multigrid.cpp.
| void mfem::GeometricMultigrid::RecoverFineFEMSolution | ( | const Vector & | X, |
| const Vector & | b, | ||
| Vector & | x | ||
| ) |
Recover the solution of a linear system formed with FormFineLinearSystem()
Definition at line 253 of file multigrid.cpp.
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protected |
Definition at line 124 of file multigrid.hpp.
Definition at line 123 of file multigrid.hpp.
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Definition at line 122 of file multigrid.hpp.
1.8.5
