aglowav::Est02< F > Class Template Reference

Error estimator for the constant space. More...

#include <estimator.hh>

Public Member Functions
	Est02 (bem::AdaptiveSpace< F > &spc, uint maxdim, concepts::Real trshld, concepts::Real s=1.0)
	Constructor. More...
void	operator() (const Haar3d< F > &wavspc, const concepts::Function< F > &f)
	Refines the adaptive constant space. More...
void	operator() (const Haar3d< F > &wavspc, const concepts::Vector< F > &f)
bool	refine () const
	Return 1 if there was some refinement Return 0 else. More...

Private Attributes
uint	maxdim_
bool	ref_
	Refinement. More...
concepts::Real	s_
	Smoothness of the solution. More...
bem::AdaptiveSpace< F > &	spc_
	Space to refine. More...
concepts::Real	trshld2_
	Threshold squared. More...

Detailed Description

template<class F = concepts::Real>
class aglowav::Est02< F >

Error estimator for the constant space.

The refinement decision is made accordingly to the wavelet coefficients of the agglomerated wavelet space based on the constant space. Refinement: refinement if the weighted norm of the wavelet coefficients on the way from the root to a leaf is larger than the weighted norm of all wavelet coefficients times the trshld. The weights are for the size of the support of the wavelet on level 0 (root), the size of the support of the wavelet and the regularity. This formula is a generalization of formula (3.2.10) of Fully Discrete Multiscale Galerkin BEM (T. von Petersdorff and C. Schwab) where the supports are always divided by 4.

A spezialization of this (supports are always divided by 2) is implemented in ErrEstimator04.

Parameters

F	Field (Real or Cmplx)

Definition at line 88 of file estimator.hh.

Constructor & Destructor Documentation

Est02()

template<class F >

aglowav::Est02< F >::Est02 ( bem::AdaptiveSpace< F > &  spc, uint  maxdim, concepts::Real  trshld, concepts::Real  s = 1.0  )

inline

Constructor.

Parameters

spc	Space
maxdim	Maximal dimension of the space
s	Smoothness of the solution

Definition at line 121 of file estimator.hh.

Member Function Documentation

operator()() [1/2]

template<class F = concepts::Real>

void aglowav::Est02< F >::operator()	(	const Haar3d< F > &	wavspc,
		const concepts::Function< F > &	f
	)

Refines the adaptive constant space.

Exceptions

MissingFeature

operator()() [2/2]

template<class F = concepts::Real>

void aglowav::Est02< F >::operator()	(	const Haar3d< F > &	wavspc,
		const concepts::Vector< F > &	f
	)

Exceptions

MissingFeature

refine()

template<class F = concepts::Real>

bool aglowav::Est02< F >::refine ( ) const

inline

Return 1 if there was some refinement Return 0 else.

Definition at line 101 of file estimator.hh.

Member Data Documentation

maxdim_

template<class F = concepts::Real>

uint aglowav::Est02< F >::maxdim_

private

Definition at line 111 of file estimator.hh.

ref_

template<class F = concepts::Real>

bool aglowav::Est02< F >::ref_

private

Refinement.

Definition at line 110 of file estimator.hh.

s_

template<class F = concepts::Real>

concepts::Real aglowav::Est02< F >::s_

private

Smoothness of the solution.

Definition at line 115 of file estimator.hh.

spc_

template<class F = concepts::Real>

bem::AdaptiveSpace<F>& aglowav::Est02< F >::spc_

private

Space to refine.

Definition at line 117 of file estimator.hh.

trshld2_

template<class F = concepts::Real>

concepts::Real aglowav::Est02< F >::trshld2_

private

Threshold squared.

Definition at line 113 of file estimator.hh.

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

• aglowav/estimator.hh