/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 $H^1$ errors of approximate solutions of the Poisson equation on the interval and in the L-shaped domain.

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