The ZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure. More...

#include <estimators.hpp>

Inheritance diagram for mfem::ZienkiewiczZhuEstimator:

Collaboration diagram for mfem::ZienkiewiczZhuEstimator:

Public Member Functions
	ZienkiewiczZhuEstimator (BilinearFormIntegrator &integ, GridFunction &sol, FiniteElementSpace *flux_fes)
	Construct a new ZienkiewiczZhuEstimator object.

	ZienkiewiczZhuEstimator (BilinearFormIntegrator &integ, GridFunction &sol, FiniteElementSpace &flux_fes)
	Construct a new ZienkiewiczZhuEstimator object.

void	SetWithCoeff (bool w_coeff=true)
	Consider the coefficient in BilinearFormIntegrator to calculate the fluxes for the error estimator.

void	SetAnisotropic (bool aniso=true)
	Enable/disable anisotropic estimates. To enable this option, the BilinearFormIntegrator must support the 'd_energy' parameter in its ComputeFluxEnergy() method.

void	SetFluxAveraging (int fa)
	Set the way the flux is averaged (smoothed) across elements.

virtual real_t	GetTotalError () const override
	Return the total error from the last error estimate.

virtual const Vector &	GetLocalErrors () override
	Get a Vector with all element errors.

virtual const Array< int > &	GetAnisotropicFlags () override
	Get an Array<int> with anisotropic flags for all mesh elements. Return an empty array when anisotropic estimates are not available or enabled.

virtual void	Reset () override
	Reset the error estimator.

virtual	~ZienkiewiczZhuEstimator ()
	Destroy a ZienkiewiczZhuEstimator object. Destroys, if owned, the FiniteElementSpace, flux_space.

Public Member Functions inherited from mfem::ErrorEstimator
virtual	~ErrorEstimator ()
	Destruct the error estimator.

Public Member Functions inherited from mfem::AbstractErrorEstimator
virtual	~AbstractErrorEstimator ()

Protected Member Functions
bool	MeshIsModified ()
	Check if the mesh of the solution was modified.

void	ComputeEstimates ()
	Compute the element error estimates.

Protected Attributes
long	current_sequence

Vector	error_estimates

real_t	total_error

bool	anisotropic

Array< int >	aniso_flags

int	flux_averaging

BilinearFormIntegrator &	integ

GridFunction &	solution

FiniteElementSpace *	flux_space
	Ownership based on own_flux_fes. Its Update() method is called automatically by this class when needed.

bool	with_coeff

bool	own_flux_fes
	Ownership flag for flux_space.

Detailed Description

The ZienkiewiczZhuEstimator class implements the Zienkiewicz-Zhu error estimation procedure.

[1] Zienkiewicz, O.C. and Zhu, J.Z., The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique. Int. J. Num. Meth. Engng. 33, 1331-1364 (1992).

[2] Zienkiewicz, O.C. and Zhu, J.Z., The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity. Int. J. Num. Meth. Engng. 33, 1365-1382 (1992).

The required BilinearFormIntegrator must implement the methods ComputeElementFlux() and ComputeFluxEnergy().

Definition at line 88 of file estimators.hpp.

Constructor & Destructor Documentation

◆ ZienkiewiczZhuEstimator() [1/2]

mfem::ZienkiewiczZhuEstimator::ZienkiewiczZhuEstimator	(	BilinearFormIntegrator &	integ,
		GridFunction &	sol,
		FiniteElementSpace *	flux_fes )

inline

Construct a new ZienkiewiczZhuEstimator object.

Parameters

integ	This BilinearFormIntegrator must implement the methods ComputeElementFlux() and ComputeFluxEnergy().
sol	The solution field whose error is to be estimated.
flux_fes	The ZienkiewiczZhuEstimator assumes ownership of this FiniteElementSpace and will call its Update() method when needed.

Definition at line 125 of file estimators.hpp.

◆ ZienkiewiczZhuEstimator() [2/2]

mfem::ZienkiewiczZhuEstimator::ZienkiewiczZhuEstimator	(	BilinearFormIntegrator &	integ,
		GridFunction &	sol,
		FiniteElementSpace &	flux_fes )

inline

Construct a new ZienkiewiczZhuEstimator object.

Parameters

integ	This BilinearFormIntegrator must implement the methods ComputeElementFlux() and ComputeFluxEnergy().
sol	The solution field whose error is to be estimated.
flux_fes	The ZienkiewiczZhuEstimator does NOT assume ownership of this FiniteElementSpace; will call its Update() method when needed.

Definition at line 145 of file estimators.hpp.

◆ ~ZienkiewiczZhuEstimator()

virtual mfem::ZienkiewiczZhuEstimator::~ZienkiewiczZhuEstimator ( )

inlinevirtual

Destroy a ZienkiewiczZhuEstimator object. Destroys, if owned, the FiniteElementSpace, flux_space.

Definition at line 198 of file estimators.hpp.

Member Function Documentation

◆ ComputeEstimates()

void mfem::ZienkiewiczZhuEstimator::ComputeEstimates ( )

protected

Compute the element error estimates.

Definition at line 17 of file estimators.cpp.

◆ GetAnisotropicFlags()

virtual const Array< int > & mfem::ZienkiewiczZhuEstimator::GetAnisotropicFlags ( )

inlineoverridevirtual

Get an Array<int> with anisotropic flags for all mesh elements. Return an empty array when anisotropic estimates are not available or enabled.

Implements mfem::AnisotropicErrorEstimator.

Definition at line 187 of file estimators.hpp.

◆ GetLocalErrors()

virtual const Vector & mfem::ZienkiewiczZhuEstimator::GetLocalErrors ( )

inlineoverridevirtual

Get a Vector with all element errors.

Implements mfem::ErrorEstimator.

Definition at line 178 of file estimators.hpp.

◆ GetTotalError()

virtual real_t mfem::ZienkiewiczZhuEstimator::GetTotalError ( ) const

inlineoverridevirtual

Return the total error from the last error estimate.

Reimplemented from mfem::ErrorEstimator.

Definition at line 175 of file estimators.hpp.

◆ MeshIsModified()

bool mfem::ZienkiewiczZhuEstimator::MeshIsModified ( )

inlineprotected

Check if the mesh of the solution was modified.

Definition at line 107 of file estimators.hpp.

◆ Reset()

virtual void mfem::ZienkiewiczZhuEstimator::Reset ( )

inlineoverridevirtual

Reset the error estimator.

Implements mfem::ErrorEstimator.

Definition at line 194 of file estimators.hpp.

◆ SetAnisotropic()

void mfem::ZienkiewiczZhuEstimator::SetAnisotropic ( bool aniso = true )

inline

Enable/disable anisotropic estimates. To enable this option, the BilinearFormIntegrator must support the 'd_energy' parameter in its ComputeFluxEnergy() method.

Definition at line 165 of file estimators.hpp.

◆ SetFluxAveraging()

void mfem::ZienkiewiczZhuEstimator::SetFluxAveraging ( int fa )

inline

Set the way the flux is averaged (smoothed) across elements.

When fa is zero (default), averaging is performed across interfaces between different mesh attributes. When fa is non-zero, the flux is not averaged across interfaces between different mesh attributes.

Definition at line 172 of file estimators.hpp.

◆ SetWithCoeff()

void mfem::ZienkiewiczZhuEstimator::SetWithCoeff ( bool w_coeff = true )

inline

Consider the coefficient in BilinearFormIntegrator to calculate the fluxes for the error estimator.

Definition at line 160 of file estimators.hpp.

Member Data Documentation

◆ aniso_flags

Array<int> mfem::ZienkiewiczZhuEstimator::aniso_flags

protected

Definition at line 95 of file estimators.hpp.

◆ anisotropic

bool mfem::ZienkiewiczZhuEstimator::anisotropic

protected

Definition at line 94 of file estimators.hpp.

◆ current_sequence

long mfem::ZienkiewiczZhuEstimator::current_sequence

protected

Definition at line 91 of file estimators.hpp.

◆ error_estimates

Vector mfem::ZienkiewiczZhuEstimator::error_estimates

protected

Definition at line 92 of file estimators.hpp.

◆ flux_averaging

int mfem::ZienkiewiczZhuEstimator::flux_averaging

protected

Definition at line 96 of file estimators.hpp.

◆ flux_space

FiniteElementSpace* mfem::ZienkiewiczZhuEstimator::flux_space

protected

Ownership based on own_flux_fes. Its Update() method is called automatically by this class when needed.

Definition at line 101 of file estimators.hpp.

◆ integ

BilinearFormIntegrator& mfem::ZienkiewiczZhuEstimator::integ

protected

Definition at line 98 of file estimators.hpp.

◆ own_flux_fes

bool mfem::ZienkiewiczZhuEstimator::own_flux_fes

protected

Ownership flag for flux_space.

Definition at line 104 of file estimators.hpp.

◆ solution

GridFunction& mfem::ZienkiewiczZhuEstimator::solution

protected

Definition at line 99 of file estimators.hpp.

◆ total_error

real_t mfem::ZienkiewiczZhuEstimator::total_error

protected

Definition at line 93 of file estimators.hpp.

◆ with_coeff

bool mfem::ZienkiewiczZhuEstimator::with_coeff

protected

Definition at line 103 of file estimators.hpp.

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

fem/estimators.hpp
fem/estimators.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ZienkiewiczZhuEstimator() [1/2]

◆ ZienkiewiczZhuEstimator() [2/2]

◆ ~ZienkiewiczZhuEstimator()

Member Function Documentation

◆ ComputeEstimates()

◆ GetAnisotropicFlags()

◆ GetLocalErrors()

◆ GetTotalError()

◆ MeshIsModified()

◆ Reset()

◆ SetAnisotropic()

◆ SetFluxAveraging()

◆ SetWithCoeff()

Member Data Documentation

◆ aniso_flags

◆ anisotropic

◆ current_sequence

◆ error_estimates

◆ flux_averaging

◆ flux_space

◆ integ

◆ own_flux_fes

◆ solution

◆ total_error

◆ with_coeff