MFEM
v4.0
Finite element discretization library
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A class representing a general block nonlinear operator defined on the Cartesian product of multiple FiniteElementSpaces. More...
#include <nonlinearform.hpp>
Public Member Functions | |
BlockNonlinearForm () | |
Construct an empty BlockNonlinearForm. Initialize with SetSpaces(). More... | |
BlockNonlinearForm (Array< FiniteElementSpace * > &f) | |
Construct a BlockNonlinearForm on the given set of FiniteElementSpaces. More... | |
FiniteElementSpace * | FESpace (int k) |
Return the k-th FE space of the BlockNonlinearForm. More... | |
const FiniteElementSpace * | FESpace (int k) const |
Return the k-th FE space of the BlockNonlinearForm (const version). More... | |
void | SetSpaces (Array< FiniteElementSpace * > &f) |
(Re)initialize the BlockNonlinearForm. More... | |
const Array< int > & | GetBlockOffsets () const |
Return the regular dof offsets. More... | |
const Array< int > & | GetBlockTrueOffsets () const |
Return the true-dof offsets. More... | |
void | AddDomainIntegrator (BlockNonlinearFormIntegrator *nlfi) |
Adds new Domain Integrator. More... | |
void | AddInteriorFaceIntegrator (BlockNonlinearFormIntegrator *nlfi) |
Adds new Interior Face Integrator. More... | |
void | AddBdrFaceIntegrator (BlockNonlinearFormIntegrator *nlfi) |
Adds new Boundary Face Integrator. More... | |
void | AddBdrFaceIntegrator (BlockNonlinearFormIntegrator *nlfi, Array< int > &bdr_marker) |
Adds new Boundary Face Integrator, restricted to specific boundary attributes. More... | |
virtual void | SetEssentialBC (const Array< Array< int > * > &bdr_attr_is_ess, Array< Vector * > &rhs) |
virtual double | GetEnergy (const Vector &x) const |
virtual void | Mult (const Vector &x, Vector &y) const |
Operator application: y=A(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 | ~BlockNonlinearForm () |
Destructor. 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 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 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 Member Functions | |
double | GetEnergyBlocked (const BlockVector &bx) const |
Specialized version of GetEnergy() for BlockVectors. More... | |
void | MultBlocked (const BlockVector &bx, BlockVector &by) const |
Specialized version of Mult() for BlockVectors. More... | |
Operator & | GetGradientBlocked (const BlockVector &bx) const |
Specialized version of GetGradient() for BlockVector. More... | |
Protected Attributes | |
Array< FiniteElementSpace * > | fes |
FE spaces on which the form lives. More... | |
Array < BlockNonlinearFormIntegrator * > | dnfi |
Set of Domain Integrators to be assembled (added). More... | |
Array < BlockNonlinearFormIntegrator * > | fnfi |
Set of interior face Integrators to be assembled (added). More... | |
Array < BlockNonlinearFormIntegrator * > | bfnfi |
Set of Boundary Face Integrators to be assembled (added). More... | |
Array< Array< int > * > | bfnfi_marker |
BlockVector | xs |
BlockVector | ys |
Array2D< SparseMatrix * > | Grads |
BlockOperator * | BlockGrad |
Array< int > | block_offsets |
Array< int > | block_trueOffsets |
Array< Array< int > * > | ess_vdofs |
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... | |
A class representing a general block nonlinear operator defined on the Cartesian product of multiple FiniteElementSpaces.
Definition at line 161 of file nonlinearform.hpp.
mfem::BlockNonlinearForm::BlockNonlinearForm | ( | ) |
Construct an empty BlockNonlinearForm. Initialize with SetSpaces().
Definition at line 400 of file nonlinearform.cpp.
mfem::BlockNonlinearForm::BlockNonlinearForm | ( | Array< FiniteElementSpace * > & | f | ) |
Construct a BlockNonlinearForm on the given set of FiniteElementSpaces.
Definition at line 453 of file nonlinearform.cpp.
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Destructor.
Definition at line 944 of file nonlinearform.cpp.
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Adds new Boundary Face Integrator.
Definition at line 230 of file nonlinearform.hpp.
void mfem::BlockNonlinearForm::AddBdrFaceIntegrator | ( | BlockNonlinearFormIntegrator * | nlfi, |
Array< int > & | bdr_marker | ||
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Adds new Boundary Face Integrator, restricted to specific boundary attributes.
Definition at line 459 of file nonlinearform.cpp.
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Adds new Domain Integrator.
Definition at line 222 of file nonlinearform.hpp.
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Adds new Interior Face Integrator.
Definition at line 226 of file nonlinearform.hpp.
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Return the k-th FE space of the BlockNonlinearForm.
Definition at line 208 of file nonlinearform.hpp.
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Return the k-th FE space of the BlockNonlinearForm (const version).
Definition at line 210 of file nonlinearform.hpp.
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Return the regular dof offsets.
Definition at line 217 of file nonlinearform.hpp.
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Return the true-dof offsets.
Definition at line 219 of file nonlinearform.hpp.
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Definition at line 554 of file nonlinearform.cpp.
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Specialized version of GetEnergy() for BlockVectors.
Definition at line 509 of file nonlinearform.cpp.
Evaluate the gradient operator at the point x. The default behavior in class Operator is to generate an error.
Reimplemented from mfem::Operator.
Reimplemented in mfem::ParBlockNonlinearForm.
Definition at line 938 of file nonlinearform.cpp.
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Specialized version of GetGradient() for BlockVector.
Definition at line 721 of file nonlinearform.cpp.
Operator application: y=A(x)
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Implements mfem::Operator.
Reimplemented in mfem::ParBlockNonlinearForm.
Definition at line 714 of file nonlinearform.cpp.
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Specialized version of Mult() for BlockVectors.
Definition at line 560 of file nonlinearform.cpp.
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Reimplemented in mfem::ParBlockNonlinearForm.
Definition at line 466 of file nonlinearform.cpp.
void mfem::BlockNonlinearForm::SetSpaces | ( | Array< FiniteElementSpace * > & | f | ) |
(Re)initialize the BlockNonlinearForm.
After a call to SetSpaces(), the essential b.c. must be set again.
Definition at line 407 of file nonlinearform.cpp.
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Set of Boundary Face Integrators to be assembled (added).
Definition at line 174 of file nonlinearform.hpp.
Definition at line 175 of file nonlinearform.hpp.
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Definition at line 185 of file nonlinearform.hpp.
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Definition at line 186 of file nonlinearform.hpp.
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Definition at line 182 of file nonlinearform.hpp.
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Set of Domain Integrators to be assembled (added).
Definition at line 168 of file nonlinearform.hpp.
Definition at line 189 of file nonlinearform.hpp.
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FE spaces on which the form lives.
Definition at line 165 of file nonlinearform.hpp.
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Set of interior face Integrators to be assembled (added).
Definition at line 171 of file nonlinearform.hpp.
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Definition at line 181 of file nonlinearform.hpp.
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Auxiliary block-vectors for wrapping input and output vectors or holding GridFunction-like block-vector data (e.g. in parallel).
Definition at line 179 of file nonlinearform.hpp.
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Definition at line 179 of file nonlinearform.hpp.