MFEM
v4.2.0
Finite element discretization library
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Performs a single remap advection step in serial. More...
#include <tmop_tools.hpp>
Public Member Functions | |
SerialAdvectorCGOper (const Vector &x_start, GridFunction &vel, FiniteElementSpace &fes) | |
virtual void | Mult (const Vector &ind, Vector &di_dt) 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... | |
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... | |
EvalMode | GetEvalMode () const |
Return the current evaluation mode. See SetEvalMode() for details. More... | |
virtual void | SetEvalMode (const EvalMode new_eval_mode) |
Set the evaluation mode of the time-dependent operator. More... | |
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 &k, 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 | 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 Operator & | GetImplicitGradient (const Vector &x, const Vector &k, double shift) const |
Return an Operator representing (dF/dk shift + dF/dx) at the given x, k, and the currently set time. More... | |
virtual Operator & | GetExplicitGradient (const Vector &x) const |
Return an Operator representing dG/dx at the given point x and the currently set time. More... | |
virtual int | SUNImplicitSetup (const Vector &x, const Vector &fx, int jok, int *jcur, double gamma) |
Setup the ODE linear system \( A(x,t) = (I - gamma J) \) or \( A = (M - gamma J) \), where \( J(x,t) = \frac{df}{dt(x,t)} \). More... | |
virtual int | SUNImplicitSolve (const Vector &b, Vector &x, double tol) |
Solve the ODE linear system \( A x = b \) as setup by the method SUNImplicitSetup(). More... | |
virtual int | SUNMassSetup () |
Setup the mass matrix in the ODE system \( M y' = f(y,t) \) . More... | |
virtual int | SUNMassSolve (const Vector &b, Vector &x, double tol) |
Solve the mass matrix linear system \( M x = b \) as setup by the method SUNMassSetup(). More... | |
virtual int | SUNMassMult (const Vector &x, Vector &v) |
Compute the mass matrix-vector product \( v = M x \) . More... | |
virtual | ~TimeDependentOperator () |
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 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... | |
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 | |
const Vector & | x0 |
Vector & | x_now |
GridFunction & | u |
VectorGridFunctionCoefficient | u_coeff |
BilinearForm | M |
BilinearForm | K |
Protected Attributes inherited from mfem::TimeDependentOperator | |
double | t |
Current time. More... | |
Type | type |
Describes the form of the TimeDependentOperator. More... | |
EvalMode | eval_mode |
Current evaluation mode. 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... | |
Performs a single remap advection step in serial.
Definition at line 71 of file tmop_tools.hpp.
mfem::SerialAdvectorCGOper::SerialAdvectorCGOper | ( | const Vector & | x_start, |
GridFunction & | vel, | ||
FiniteElementSpace & | fes | ||
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Here fes is the FESpace of the function that will be moved. Note that Mult() moves the nodes of the mesh corresponding to fes.
Definition at line 165 of file tmop_tools.cpp.
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 183 of file tmop_tools.cpp.
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mutableprotected |
Definition at line 78 of file tmop_tools.hpp.
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mutableprotected |
Definition at line 78 of file tmop_tools.hpp.
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Definition at line 76 of file tmop_tools.hpp.
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Definition at line 77 of file tmop_tools.hpp.
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Definition at line 74 of file tmop_tools.hpp.
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Definition at line 75 of file tmop_tools.hpp.