Numerical integration of logarithmic and nearly logarithmic singularity in BEMs

被引：32
|
作者：
Sladek, V [1 ]
Sladek, J
Tanaka, M
机构：
[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84220, Slovakia
[2] Shinshu Univ, Dept Mech Syst Engn, Nagano 380, Japan
来源：
APPLIED MATHEMATICAL MODELLING | 2001年 / 25卷 / 11期
基金：
日本学术振兴会;
关键词：
boundary element method; weak singularity; numerical integration; accuracy;
D O I：
10.1016/S0307-904X(01)00021-X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new semi-analytical integration scheme is proposed for evaluation of logarithmically singular and/or nearly singular integrals occurring in 2D BEM formulations. Extensive numerical experiments are performed to study the accuracy by the proposed and other schemes of numerical integration. The accuracy of the numerical integration is almost exact even for curvilinear elements and the accuracy of numerical computation is determined by the accuracy of the approximation of the boundary density and geometry. (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：901 / 922
页数：22
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