MFEM
v4.2.0
Finite element discretization library
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Parallel non-linear operator on the true dofs. More...
#include <pnonlinearform.hpp>
Public Member Functions | |
ParNonlinearForm (ParFiniteElementSpace *pf) | |
ParFiniteElementSpace * | ParFESpace () const |
double | GetParGridFunctionEnergy (const Vector &x) const |
Compute the energy corresponding to the state x. More... | |
double | GetEnergy (const ParGridFunction &x) const |
Compute the energy of a ParGridFunction. More... | |
virtual double | GetEnergy (const Vector &x) const |
Compute the enery corresponding to the state x. More... | |
virtual void | Mult (const Vector &x, Vector &y) const |
Evaluate the action of the NonlinearForm. More... | |
const SparseMatrix & | GetLocalGradient (const Vector &x) const |
Return the local gradient matrix for the given true-dof vector x. More... | |
virtual Operator & | GetGradient (const Vector &x) const |
Compute the gradient Operator of the NonlinearForm corresponding to the state x. More... | |
void | SetGradientType (Operator::Type tid) |
Set the operator type id for the parallel gradient matrix/operator. More... | |
virtual void | Update () |
Update the ParNonlinearForm to propagate updates of the associated parallel FE space. More... | |
virtual | ~ParNonlinearForm () |
Public Member Functions inherited from mfem::NonlinearForm | |
NonlinearForm (FiniteElementSpace *f) | |
Construct a NonlinearForm on the given FiniteElementSpace, f. More... | |
void | SetAssemblyLevel (AssemblyLevel assembly_level) |
Set the desired assembly level. The default is AssemblyLevel::NONE. More... | |
FiniteElementSpace * | FESpace () |
const FiniteElementSpace * | FESpace () const |
void | AddDomainIntegrator (NonlinearFormIntegrator *nlfi) |
Adds new Domain Integrator. More... | |
Array< NonlinearFormIntegrator * > * | GetDNFI () |
Access all integrators added with AddDomainIntegrator(). More... | |
const Array < NonlinearFormIntegrator * > * | GetDNFI () const |
void | AddInteriorFaceIntegrator (NonlinearFormIntegrator *nlfi) |
Adds new Interior Face Integrator. More... | |
void | AddBdrFaceIntegrator (NonlinearFormIntegrator *nlfi) |
Adds new Boundary Face Integrator. More... | |
void | AddBdrFaceIntegrator (NonlinearFormIntegrator *nfi, Array< int > &bdr_marker) |
Adds new Boundary Face Integrator, restricted to specific boundary attributes. More... | |
void | SetEssentialBC (const Array< int > &bdr_attr_is_ess, Vector *rhs=NULL) |
Specify essential boundary conditions. More... | |
void | SetEssentialVDofs (const Array< int > &ess_vdofs_list) |
Specify essential boundary conditions. More... | |
void | SetEssentialTrueDofs (const Array< int > &ess_tdof_list) |
Specify essential boundary conditions. More... | |
const Array< int > & | GetEssentialTrueDofs () const |
Return a (read-only) list of all essential true dofs. More... | |
double | GetGridFunctionEnergy (const Vector &x) const |
Compute the enery corresponding to the state x. More... | |
virtual void | Setup () |
Setup the NonlinearForm. More... | |
virtual const Operator * | GetProlongation () const |
Get the finite element space prolongation matrix. More... | |
virtual const Operator * | GetRestriction () const |
Get the finite element space restriction matrix. More... | |
virtual | ~NonlinearForm () |
Destroy the NoninearForm including the owned NonlinearFormIntegrators and gradient Operator. 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 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 * | 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=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 | |
ParGridFunction | X |
ParGridFunction | Y |
OperatorHandle | pGrad |
Protected Attributes inherited from mfem::NonlinearForm | |
AssemblyLevel | assembly |
The assembly level. More... | |
NonlinearFormExtension * | ext |
FiniteElementSpace * | fes |
FE space on which the form lives. More... | |
Array< NonlinearFormIntegrator * > | dnfi |
Set of Domain Integrators to be assembled (added). More... | |
Array< NonlinearFormIntegrator * > | fnfi |
Set of interior face Integrators to be assembled (added). More... | |
Array< NonlinearFormIntegrator * > | bfnfi |
Set of boundary face Integrators to be assembled (added). More... | |
Array< Array< int > * > | bfnfi_marker |
SparseMatrix * | Grad |
SparseMatrix * | cGrad |
Array< int > | ess_tdof_list |
A list of all essential true dofs. More... | |
long | sequence |
Counter for updates propagated from the FiniteElementSpace. More... | |
Vector | aux1 |
Auxiliary Vectors. More... | |
Vector | aux2 |
const Operator * | P |
Pointer to the prolongation matrix of fes, may be NULL. More... | |
const SparseMatrix * | cP |
The result of dynamic-casting P to SparseMatrix pointer. 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 | 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 } |
Enumeration defining IDs for some classes derived from Operator. More... | |
Protected Member Functions inherited from mfem::NonlinearForm | |
bool | Serial () const |
const Vector & | Prolongate (const Vector &x) 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, taking in input/output Prolongation matrices. More... | |
Parallel non-linear operator on the true dofs.
Definition at line 26 of file pnonlinearform.hpp.
mfem::ParNonlinearForm::ParNonlinearForm | ( | ParFiniteElementSpace * | pf | ) |
Definition at line 21 of file pnonlinearform.cpp.
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Definition at line 69 of file pnonlinearform.hpp.
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Compute the energy of a ParGridFunction.
Definition at line 46 of file pnonlinearform.hpp.
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Compute the enery corresponding to the state x.
In general, x may have non-homogeneous essential boundary values.
The state x must be a true-dof vector.
Reimplemented from mfem::NonlinearForm.
Definition at line 49 of file pnonlinearform.hpp.
Compute the gradient Operator of the NonlinearForm corresponding to the state x.
Any previously specified essential boundary conditions will be automatically imposed on the gradient operator.
The returned object is valid until the next call to this method or the destruction of this object.
In general, x may have non-homogeneous essential boundary values.
The state x must be a true-dof vector.
Reimplemented from mfem::NonlinearForm.
Definition at line 103 of file pnonlinearform.cpp.
const SparseMatrix & mfem::ParNonlinearForm::GetLocalGradient | ( | const Vector & | x | ) | const |
Return the local gradient matrix for the given true-dof vector x.
The returned matrix does NOT have any boundary conditions imposed.
Definition at line 96 of file pnonlinearform.cpp.
double mfem::ParNonlinearForm::GetParGridFunctionEnergy | ( | const Vector & | x | ) | const |
Compute the energy corresponding to the state x.
In general, x may have non-homogeneous essential boundary values.
The state x must be a "GridFunction size" vector, i.e. its size must be fes->GetVSize().
Definition at line 29 of file pnonlinearform.cpp.
Evaluate the action of the NonlinearForm.
The input essential dofs in x will, generally, be non-zero. However, the output essential dofs in y will always be set to zero.
Both the input and the output vectors, x and y, must be true-dof vectors, i.e. their size must be fes->GetTrueVSize().
Reimplemented from mfem::NonlinearForm.
Definition at line 46 of file pnonlinearform.cpp.
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Definition at line 35 of file pnonlinearform.hpp.
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Set the operator type id for the parallel gradient matrix/operator.
Definition at line 61 of file pnonlinearform.hpp.
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Update the ParNonlinearForm to propagate updates of the associated parallel FE space.
After calling this method, the essential boundary conditions need to be set again.
Reimplemented from mfem::NonlinearForm.
Definition at line 134 of file pnonlinearform.cpp.
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Definition at line 30 of file pnonlinearform.hpp.
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mutableprotected |
Definition at line 29 of file pnonlinearform.hpp.
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mutableprotected |
Definition at line 29 of file pnonlinearform.hpp.