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MFEM
v3.4
Finite element discretization library
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MFEM
v3.4
Finite element discretization library
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Square Operator for imposing essential boundary conditions using only the action, Mult(), of a given unconstrained Operator. More...
#include <operator.hpp>
Public Member Functions | |
| ConstrainedOperator (Operator *A, const Array< int > &list, bool own_A=false) | |
| Constructor from a general Operator and a list of essential indices/dofs. More... | |
| void | EliminateRHS (const Vector &x, Vector &b) const |
| Eliminate "essential boundary condition" values specified in x from the given right-hand side b. More... | |
| virtual void | Mult (const Vector &x, Vector &y) const |
| Constrained operator action. More... | |
| virtual | ~ConstrainedOperator () |
| Destructor: destroys the unconstrained Operator A if own_A is true. More... | |
 Public Member Functions inherited from mfem::Operator | |
| 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 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 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... | |
| 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... | |
| 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(). 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... | |
Protected Attributes | |
| Array< int > | constraint_list |
| List of constrained indices/dofs. More... | |
| Operator * | A |
| The unconstrained Operator. More... | |
| bool | own_A |
| Ownership flag for A. More... | |
| Vector | z |
| Vector | w |
| Auxiliary vectors. 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... | |
Additional Inherited Members | |
| Public Types inherited from mfem::Operator | |
| enum | Type { ANY_TYPE, MFEM_SPARSEMAT, Hypre_ParCSR, PETSC_MATAIJ, PETSC_MATIS, PETSC_MATSHELL, PETSC_MATNEST, PETSC_MATHYPRE, PETSC_MATGENERIC } |
| Enumeration defining IDs for some classes derived from Operator. More... | |
Square Operator for imposing essential boundary conditions using only the action, Mult(), of a given unconstrained Operator.
Square operator constrained by fixing certain entries in the solution to given "essential boundary condition" values. This class is used by the general, matrix-free system formulation of Operator::FormLinearSystem.
Definition at line 401 of file operator.hpp.
| mfem::ConstrainedOperator::ConstrainedOperator | ( | Operator * | A, |
| const Array< int > & | list, | ||
| bool | own_A = false |
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| ) |
Constructor from a general Operator and a list of essential indices/dofs.
Specify the unconstrained operator *A and a list of indices to constrain, i.e. each entry list[i] represents an essential-dof. If the ownership flag own_A is true, the operator *A will be destroyed when this object is destroyed.
Definition at line 154 of file operator.cpp.
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inlinevirtual |
Destructor: destroys the unconstrained Operator A if own_A is true.
Definition at line 441 of file operator.hpp.
Eliminate "essential boundary condition" values specified in x from the given right-hand side b.
Performs the following steps:
z = A((0,x_b)); b_i -= z_i; b_b = x_b;
where the "_b" subscripts denote the essential (boundary) indices/dofs of the vectors, and "_i" – the rest of the entries.
Definition at line 163 of file operator.cpp.
Constrained operator action.
Performs the following steps:
z = A((x_i,0)); y_i = z_i; y_b = x_b;
where the "_b" subscripts denote the essential (boundary) indices/dofs of the vectors, and "_i" – the rest of the entries.
Implements mfem::Operator.
Definition at line 182 of file operator.cpp.
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protected |
The unconstrained Operator.
Definition at line 405 of file operator.hpp.
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List of constrained indices/dofs.
Definition at line 404 of file operator.hpp.
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Ownership flag for A.
Definition at line 406 of file operator.hpp.
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mutableprotected |
Auxiliary vectors.
Definition at line 407 of file operator.hpp.
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mutableprotected |
Definition at line 407 of file operator.hpp.
1.8.5
