MFEM  v4.0
Finite element discretization library
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FE_Evolution Class Reference

#include <ex18.hpp>

Inheritance diagram for FE_Evolution:
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Collaboration diagram for FE_Evolution:
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Public Member Functions

 FE_Evolution (FiniteElementSpace &_vfes, Operator &_A, SparseMatrix &_Aflux)
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual ~FE_Evolution ()
 
 FE_Evolution (SparseMatrix &_M, SparseMatrix &_K, const Vector &_b)
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual ~FE_Evolution ()
 
 FE_Evolution (HypreParMatrix &_M, HypreParMatrix &_K, const Vector &_b)
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual ~FE_Evolution ()
 
 FE_Evolution (HypreParMatrix &_M, HypreParMatrix &_K, const Vector &_b, bool M_in_lhs)
 
virtual void ExplicitMult (const Vector &x, Vector &y) const
 Perform the action of the explicit part of the operator, G: y = G(x, t) where t is the current time. More...
 
virtual void ImplicitMult (const Vector &x, const Vector &xp, Vector &y) const
 Perform the action of the implicit part of the operator, F: y = F(x, k, t) where t is the current time. More...
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual OperatorGetExplicitGradient (const Vector &x) const
 Return an Operator representing dG/dx at the given point x and the currently set time. More...
 
virtual OperatorGetImplicitGradient (const Vector &x, const Vector &xp, double shift) const
 Return an Operator representing (dF/dk shift + dF/dx) at the given x, k, and the currently set time. More...
 
virtual ~FE_Evolution ()
 
 FE_Evolution (SparseMatrix &_M, SparseMatrix &_K, const Vector &_b)
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual ~FE_Evolution ()
 
 FE_Evolution (HypreParMatrix &_M, HypreParMatrix &_K, const Vector &_b)
 
virtual void Mult (const Vector &x, Vector &y) const
 Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time. More...
 
virtual ~FE_Evolution ()
 
- Public Member Functions inherited from mfem::TimeDependentOperator
 TimeDependentOperator (int n=0, double t_=0.0, Type type_=EXPLICIT)
 Construct a "square" TimeDependentOperator y = f(x,t), where x and y have the same dimension n. More...
 
 TimeDependentOperator (int h, int w, double t_=0.0, Type type_=EXPLICIT)
 Construct a TimeDependentOperator y = f(x,t), where x and y have dimensions w and h, respectively. More...
 
virtual double GetTime () const
 Read the currently set time. More...
 
virtual void SetTime (const double _t)
 Set the current time. More...
 
bool isExplicit () const
 True if type is EXPLICIT. More...
 
bool isImplicit () const
 True if type is IMPLICIT or HOMOGENEOUS. More...
 
bool isHomogeneous () const
 True if type is HOMOGENEOUS. More...
 
virtual void ImplicitSolve (const double dt, const Vector &x, Vector &k)
 Solve the equation: k = f(x + dt k, t), for the unknown k at the current time t. More...
 
virtual ~TimeDependentOperator ()
 
- 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 OperatorGetGradient (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 OperatorGetProlongation () const
 Prolongation operator from linear algebra (linear system) vectors, to input vectors for the operator. NULL means identity. More...
 
virtual const OperatorGetRestriction () 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...
 

Additional Inherited Members

- Public Types inherited from mfem::TimeDependentOperator
enum  Type { EXPLICIT, IMPLICIT, HOMOGENEOUS }
 
- 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...
 
- Protected Attributes inherited from mfem::TimeDependentOperator
double t
 Current time. More...
 
Type type
 Describes the form of the TimeDependentOperator. 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...
 

Detailed Description

A time-dependent operator for the right-hand side of the ODE. The DG weak form of du/dt = -v.grad(u) is M du/dt = K u + b, where M and K are the mass and advection matrices, and b describes the flow on the boundary. This can be written as a general ODE, du/dt = M^{-1} (K u + b), and this class is used to evaluate the right-hand side.

A time-dependent operator for the ODE as F(u,du/dt,t) = G(u,t) The DG weak form of du/dt = -v.grad(u) is M du/dt = K u + b, where M and K are the mass and advection matrices, and b describes the flow on the boundary. This can be also written as a general ODE with the right-hand side only as du/dt = M^{-1} (K u + b). This class is used to evaluate the right-hand side and the left-hand side.

Definition at line 20 of file ex18.hpp.

Constructor & Destructor Documentation

FE_Evolution::FE_Evolution ( FiniteElementSpace _vfes,
Operator _A,
SparseMatrix _Aflux 
)

Definition at line 104 of file ex18.hpp.

virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 43 of file ex18.hpp.

FE_Evolution::FE_Evolution ( SparseMatrix _M,
SparseMatrix _K,
const Vector _b 
)

Definition at line 317 of file ex9.cpp.

virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 76 of file ex9.cpp.

FE_Evolution::FE_Evolution ( HypreParMatrix _M,
HypreParMatrix _K,
const Vector _b 
)

Definition at line 389 of file ex9p.cpp.

virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 75 of file ex9p.cpp.

FE_Evolution::FE_Evolution ( HypreParMatrix _M,
HypreParMatrix _K,
const Vector _b,
bool  M_in_lhs 
)

Definition at line 492 of file ex9p.cpp.

virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 89 of file ex9p.cpp.

FE_Evolution::FE_Evolution ( SparseMatrix _M,
SparseMatrix _K,
const Vector _b 
)
virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 77 of file ex9.cpp.

FE_Evolution::FE_Evolution ( HypreParMatrix _M,
HypreParMatrix _K,
const Vector _b 
)
virtual FE_Evolution::~FE_Evolution ( )
inlinevirtual

Definition at line 76 of file ex9p.cpp.

Member Function Documentation

void FE_Evolution::ExplicitMult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the explicit part of the operator, G: y = G(x, t) where t is the current time.

Presently, this method is used by some PETSc ODE solvers, for more details, see the PETSc Manual.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 515 of file ex9p.cpp.

Operator & FE_Evolution::GetExplicitGradient ( const Vector x) const
virtual

Return an Operator representing dG/dx at the given point x and the currently set time.

Presently, this method is used by some PETSc ODE solvers, for more details, see the PETSc Manual.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 555 of file ex9p.cpp.

Operator & FE_Evolution::GetImplicitGradient ( const Vector x,
const Vector k,
double  shift 
) const
virtual

Return an Operator representing (dF/dk shift + dF/dx) at the given x, k, and the currently set time.

Presently, this method is used by some PETSc ODE solvers, for more details, see the PETSc Manual.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 570 of file ex9p.cpp.

void FE_Evolution::ImplicitMult ( const Vector x,
const Vector k,
Vector y 
) const
virtual

Perform the action of the implicit part of the operator, F: y = F(x, k, t) where t is the current time.

Presently, this method is used by some PETSc ODE solvers, for more details, see the PETSc Manual.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 533 of file ex9p.cpp.

void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

Definition at line 130 of file ex18.hpp.

virtual void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

virtual void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

virtual void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

virtual void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.

virtual void FE_Evolution::Mult ( const Vector x,
Vector y 
) const
virtual

Perform the action of the operator: y = k = f(x, t), where k solves the algebraic equation F(x, k, t) = G(x, t) and t is the current time.

Reimplemented from mfem::TimeDependentOperator.


The documentation for this class was generated from the following files: