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, double Nu=1.0)

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 uniform h-refinements the rate can be estimated by k = log(||u - u_h|| / ||u - u_{h/2}||)/log(2)

Definition at line 35 of file convergence.hpp.

Member Function Documentation

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 84 of file convergence.hpp.

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 91 of file convergence.hpp.

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 98 of file convergence.hpp.

void mfem::ConvergenceStudy::AddL2GridFunction	(	GridFunction *	gf,
		Coefficient *	scalar_u,
		VectorCoefficient *	grad = `nullptr`,
		Coefficient *	ell_coeff = `nullptr`,
		double	Nu = `1.0`
	)

inline

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

Definition at line 76 of file convergence.hpp.

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

inline

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

Definition at line 118 of file convergence.hpp.

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

inline

Get all Grad/Curl/Div errors.

Definition at line 125 of file convergence.hpp.

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

inline

Get the DGFaceJumps error at step n.

Definition at line 131 of file convergence.hpp.

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

inline

Get all DGFaceJumps errors.

Definition at line 138 of file convergence.hpp.

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

inline

Get the L2 error at step n.

Definition at line 105 of file convergence.hpp.

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

inline

Get all L2 errors.

Definition at line 112 of file convergence.hpp.

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

Print rates and errors.

Definition at line 192 of file convergence.cpp.

void mfem::ConvergenceStudy::Reset ( )

Clear any internal data.

Definition at line 9 of file convergence.cpp.

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

fem/convergence.hpp
fem/convergence.cpp

Public Member Functions

Detailed Description

Member Function Documentation