/home/werner/PROMOTION/source/FrameTL/error_H_scale.h File Reference

#include <error_H_scale.cpp>

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Namespaces

namespace FrameTL

Functions

template<class IBASIS >

double FrameTL::error_H_scale_interval (const int order, const AggregatedFrame< IBASIS, 1, 1 > &frame, const InfiniteVector< double, typename AggregatedFrame< IBASIS, 1, 1 >::Index > &coeffs, const Function< 1 > &f)

This function computes the $L_2$ -norm or $H^1$ -seminorm of the difference between the frame expansion given by the coefficients in coeffs and a given function in the unit interval.

template<class IBASIS >

double FrameTL::error_H_scale_Lshaped (const int order, const AggregatedFrame< IBASIS, 2, 2 > &frame, const InfiniteVector< double, typename AggregatedFrame< IBASIS, 2, 2 >::Index > &coeffs, const Function< 2 > &f)

This function computes the $L_2$ -norm or $H^1$ -seminorm of the difference between the frame expansion given by the coefficients in coeffs and a given function in the L-shaped domain $[-1,1]^2 \ [0,1)^2$ .

double FrameTL::H_1_semi_norm_Lshaped (const Function< 2 > &gradient)

Computes an approximation to the $H^1$ -norm of a function in the L-shaped domain $[-1,1]^2 \ [0,1)^2$ .

Detailed Description

Routines for the computation of the $L_2$

- and

errors of approximate solutions of the Poisson equation on the interval and in the L-shaped domain.


Namespaces
namespace	FrameTL
Functions
template<class IBASIS >
double	FrameTL::error_H_scale_interval (const int order, const AggregatedFrame< IBASIS, 1, 1 > &frame, const InfiniteVector< double, typename AggregatedFrame< IBASIS, 1, 1 >::Index > &coeffs, const Function< 1 > &f)
	This function computes the -norm or -seminorm of the difference between the frame expansion given by the coefficients in coeffs and a given function in the unit interval.
template<class IBASIS >
double	FrameTL::error_H_scale_Lshaped (const int order, const AggregatedFrame< IBASIS, 2, 2 > &frame, const InfiniteVector< double, typename AggregatedFrame< IBASIS, 2, 2 >::Index > &coeffs, const Function< 2 > &f)
	This function computes the -norm or -seminorm of the difference between the frame expansion given by the coefficients in coeffs and a given function in the L-shaped domain $[-1,1]^2 \ [0,1)^2$ .
double	FrameTL::H_1_semi_norm_Lshaped (const Function< 2 > &gradient)
	Computes an approximation to the -norm of a function in the L-shaped domain $[-1,1]^2 \ [0,1)^2$ .