Determination Of Optimal Threshold For Matrix Compression In
Wavelet BEM
Author(s)
K. Koro and K. Abe
Abstract
Determination of optimal threshold for
matrix compression in wavelet BEM
K. Koro & K. Abe
Department of Civil Engineering and Architecture,
Niigata University, Japan
Abstract
This paper presents a practical determination method for optimal threshold
in wavelet BEM. The optimal threshold, used for truncation of coefficient
matrix entries, is determined such that truncation error is comparable to
discretization error, in order to minimize the computational cost without
deterioration of the accuracy. Errors are estimated in the residual sense.
The discretization error is estimated based on the asymptotical behaviour
of the residual R. These enable us to determine the optimal threshold
in advance, independently of prescribed analytical conditions. Through
numerical example, availability and validity of the proposed strategy are
investigated.
1 Introduction
Boundary element method using wavelet bases (wavelet BEM) is one of the
fast solution for BE analysis. Since the wavelet
Keywords
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