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| LORSolver (BilinearForm &a_ho, const Array< int > &ess_tdof_list, int ref_type=BasisType::GaussLobatto) |
| Create a solver of type SolverType, formed using the assembled SparseMatrix of the LOR version of a_ho.
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| LORSolver (ParBilinearForm &a_ho, const Array< int > &ess_tdof_list, int ref_type=BasisType::GaussLobatto) |
| Create a solver of type SolverType, formed using the assembled HypreParMatrix of the LOR version of a_ho.
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template<typename... Args> |
| LORSolver (const Operator &op, LORBase &lor_, Args &&... args) |
| Create a solver of type SolverType using Operator op and arguments args.
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template<typename... Args> |
| LORSolver (LORBase &lor_, Args &&... args) |
| Create a solver of type SolverType using the assembled LOR operator represented by lor_.
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void | SetOperator (const Operator &op) |
| Set/update the solver for the given operator.
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void | Mult (const Vector &x, Vector &y) const |
| Operator application: y=A(x) .
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SolverType & | GetSolver () |
| Access the underlying solver.
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const SolverType & | GetSolver () const |
| Access the underlying solver.
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const LORBase & | GetLOR () const |
| Access the LOR discretization object.
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| ~LORSolver () |
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| Solver (int s=0, bool iter_mode=false) |
| Initialize a square Solver with size s.
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| Solver (int h, int w, bool iter_mode=false) |
| Initialize a Solver with height h and width w.
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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.
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| Operator (int s=0) |
| Construct a square Operator with given size s (default 0).
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| Operator (int h, int w) |
| Construct an Operator with the given height (output size) and width (input size).
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int | Height () const |
| Get the height (size of output) of the Operator. Synonym with NumRows().
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int | NumRows () const |
| Get the number of rows (size of output) of the Operator. Synonym with Height().
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int | Width () const |
| Get the width (size of input) of the Operator. Synonym with NumCols().
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int | NumCols () const |
| Get the number of columns (size of input) of the Operator. Synonym with Width().
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virtual MemoryClass | GetMemoryClass () const |
| Return the MemoryClass preferred by the Operator.
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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.
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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) .
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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) .
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virtual void | ArrayMult (const Array< const Vector * > &X, Array< Vector * > &Y) const |
| Operator application on a matrix: Y=A(X) .
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virtual void | ArrayMultTranspose (const Array< const Vector * > &X, Array< Vector * > &Y) const |
| Action of the transpose operator on a matrix: Y=A^t(X) .
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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) .
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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) .
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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.
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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.
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virtual const Operator * | GetProlongation () const |
| Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity.
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virtual const Operator * | GetRestriction () const |
| Restriction operator from input vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
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virtual const Operator * | GetOutputProlongation () const |
| Prolongation operator from linear algebra (linear system) vectors, to output vectors for the operator. NULL means identity.
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virtual const Operator * | GetOutputRestrictionTranspose () const |
| Transpose of GetOutputRestriction, directly available in this form to facilitate matrix-free RAP-type operators.
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virtual const Operator * | GetOutputRestriction () const |
| Restriction operator from output vectors for the operator to linear algebra (linear system) vectors. NULL means identity.
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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.
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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.
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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().
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void | FormSystemOperator (const Array< int > &ess_tdof_list, Operator *&A) |
| Return in A a parallel (on truedofs) version of this square operator.
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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).
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void | FormDiscreteOperator (Operator *&A) |
| Return in A a parallel (on truedofs) version of this rectangular operator.
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void | PrintMatlab (std::ostream &out, int n, int m=0) const |
| Prints operator with input size n and output size m in Matlab format.
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virtual void | PrintMatlab (std::ostream &out) const |
| Prints operator in Matlab format.
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virtual | ~Operator () |
| Virtual destructor.
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Type | GetType () const |
| Return the type ID of the Operator class.
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template<typename SolverType>
class mfem::LORSolver< SolverType >
Represents a solver of type SolverType created using the low-order refined version of the given BilinearForm or ParBilinearForm.
- Note
- To achieve good solver performance, the high-order finite element space should use BasisType::GaussLobatto for H1 discretizations, and basis pair (BasisType::GaussLobatto, BasisType::IntegratedGLL) for Nedelec and Raviart-Thomas elements.
Definition at line 203 of file lor.hpp.