ON ADAPTIVE WAVELET BOUNDARY ELEMENT METHODS

作     者：H. Harbrecht M. Utzinger 

作者机构：Universitiit Basel Departement Mathematik und Informatik Spiegelgasse 1 4051 Basel Schweiz 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2018年第36卷第1期

页      面：90-109页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Swiss National Science Foundation (SNSF) through the DACH-project "BIOTOP: Adaptive Wavelet and Frame Techniques for Acoustic BEM” 

主　　题：Boundary element method Wavelets Adaptivity. 

摘      要：The present article is concerned with the numerical solution of boundary integral e- quations by an adaptive wavelet boundary element method. This method approximates the solution with a computational complexity that is proportional to the solution＇s best N-term approximation. The focus of this article is on algorithmic issues which includes the crucial building blocks and details about the efficient implementation. By numerical examples for the Laplace equation and the Helmholtz equation, solved for different geome- tries and right-hand sides, we validate the feasibility and efficiency of the adaptive wavelet boundary element method.