mfem::ConvergenceStudy Class Reference

Class to compute error and convergence rates. It supports H1, H(curl) (ND elements), H(div) (RT elements) and L2 (DG). More...

#include <convergence.hpp>

Public Member Functions
void	Reset ()
	Clear any internal data. More...
void	AddL2GridFunction (GridFunction *gf, Coefficient *scalar_u, VectorCoefficient *grad=nullptr, Coefficient *ell_coeff=nullptr, JumpScaling jump_scaling={1.0, JumpScaling::ONE_OVER_H})
void	AddH1GridFunction (GridFunction *gf, Coefficient *scalar_u, VectorCoefficient *grad=nullptr)
	Add H1 GridFunction, the exact solution and possibly its gradient. More...
void	AddHcurlGridFunction (GridFunction *gf, VectorCoefficient *vector_u, VectorCoefficient *curl=nullptr)
	Add H(curl) GridFunction, the exact solution and possibly its curl. More...
void	AddHdivGridFunction (GridFunction *gf, VectorCoefficient *vector_u, Coefficient *div=nullptr)
	Add H(div) GridFunction, the exact solution and possibly its div. More...
double	GetL2Error (int n)
	Get the L2 error at step n. More...
void	GetL2Errors (Array< double > &L2Errors_)
	Get all L2 errors. More...
double	GetDError (int n)
	Get the Grad/Curl/Div error at step n. More...
void	GetDErrors (Array< double > &DErrors_)
	Get all Grad/Curl/Div errors. More...
double	GetDGFaceJumpsError (int n)
	Get the DGFaceJumps error at step n. More...
void	GetDGFaceJumpsErrors (Array< double > &DGFaceErrors_)
	Get all DGFaceJumps errors. More...
void	Print (bool relative=false, std::ostream &out=mfem::out)
	Print rates and errors. More...

Detailed Description

Class to compute error and convergence rates. It supports H1, H(curl) (ND elements), H(div) (RT elements) and L2 (DG).

For "smooth enough" solutions the Galerkin error measured in the appropriate norm satisfies || u - u_h || ~ h^k

Here, k is called the asymptotic rate of convergence

For successive h-refinements the rate can be estimated by k = log(||u - u_h|| / ||u - u_{h/2}||)/(1/dim * log(N_{h/2}/N_{h})

Definition at line 35 of file convergence.hpp.

Member Function Documentation

AddH1GridFunction()

void mfem::ConvergenceStudy::AddH1GridFunction ( GridFunction *  gf, Coefficient *  scalar_u, VectorCoefficient *  grad = nullptr  )

inline

Add H1 GridFunction, the exact solution and possibly its gradient.

Definition at line 86 of file convergence.hpp.

AddHcurlGridFunction()

void mfem::ConvergenceStudy::AddHcurlGridFunction ( GridFunction *  gf, VectorCoefficient *  vector_u, VectorCoefficient *  curl = nullptr  )

inline

Add H(curl) GridFunction, the exact solution and possibly its curl.

Definition at line 93 of file convergence.hpp.

AddHdivGridFunction()

void mfem::ConvergenceStudy::AddHdivGridFunction ( GridFunction *  gf, VectorCoefficient *  vector_u, Coefficient *  div = nullptr  )

inline

Add H(div) GridFunction, the exact solution and possibly its div.

Definition at line 100 of file convergence.hpp.

AddL2GridFunction()

void mfem::ConvergenceStudy::AddL2GridFunction ( GridFunction *  gf, Coefficient *  scalar_u, VectorCoefficient *  grad = nullptr, Coefficient *  ell_coeff = nullptr, JumpScaling  jump_scaling = {1.0, JumpScaling::ONE_OVER_H}  )

inline

Add L2 GridFunction, the exact solution and possibly its gradient and/or DG face jumps parameters

Definition at line 77 of file convergence.hpp.

GetDError()

double mfem::ConvergenceStudy::GetDError ( int  n )

inline

Get the Grad/Curl/Div error at step n.

Definition at line 120 of file convergence.hpp.

GetDErrors()

void mfem::ConvergenceStudy::GetDErrors ( Array< double > &  DErrors_ )

inline

Get all Grad/Curl/Div errors.

Definition at line 127 of file convergence.hpp.

GetDGFaceJumpsError()

double mfem::ConvergenceStudy::GetDGFaceJumpsError ( int  n )

inline

Get the DGFaceJumps error at step n.

Definition at line 133 of file convergence.hpp.

GetDGFaceJumpsErrors()

void mfem::ConvergenceStudy::GetDGFaceJumpsErrors ( Array< double > &  DGFaceErrors_ )

inline

Get all DGFaceJumps errors.

Definition at line 140 of file convergence.hpp.

GetL2Error()

double mfem::ConvergenceStudy::GetL2Error ( int  n )

inline

Get the L2 error at step n.

Definition at line 107 of file convergence.hpp.

GetL2Errors()

void mfem::ConvergenceStudy::GetL2Errors ( Array< double > &  L2Errors_ )

inline

Get all L2 errors.

Definition at line 114 of file convergence.hpp.

Print()

void mfem::ConvergenceStudy::Print	(	bool	relative = false,
		std::ostream &	out = mfem::out
	)

Print rates and errors.

Definition at line 226 of file convergence.cpp.

Reset()

void mfem::ConvergenceStudy::Reset

(

)

Clear any internal data.

Definition at line 9 of file convergence.cpp.

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

• fem/convergence.hpp
• fem/convergence.cpp