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

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