Computation of nearly singular integrals in 3D BEM

被引：0

作者：

Zhang, Yaoming ^{[1
,2
]}

Li, Xiaochao ^{[1
]}

Sladek, Vladimir ^{[3
]}

Sladek, Jan ^{[3
]}

Gao, Xiaowei ^{[2
]}

机构：

[1] Institute of Applied Mathematics, Shandong University of Technology, Zibo,255049, China

[2] State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian,116024, China

[3] Slovak Academy of Sciences, Institute of Construction and Architecture, Bratislava,84503, Slovakia

来源：

Engineering Analysis with Boundary Elements | 2014年 / 48卷 / 01期

关键词：

Boundary element method;

D O I：

暂无

中图分类号：

O24 [计算数学];

学科分类号：

070102 ;

摘要：

This paper presents a general methodology for numerical evaluation of the nearly singular 2D integrals over the eight-node second-order quadrilateral geometry elements arising in 3D BEM. An accurate formula of distance between the source and the field point is proposed firstly. And then an extended form of the exponential transformation, which was firstly proposed by present author to regularize nearly singular integrals arising in 2D BEM, is developed to smooth out the rapid variation of the aforementioned formula of distance. Finally, several numerical examples involving boundary layer effect and thin body problems in 3D elastostatics are investigated to verify the proposed scheme, yielding very promising results. Moreover, it should be stressed that the proposed scheme is suitable for any high-order surface elements. © 2014 Elsevier Ltd. All rights reserved.

引用

页码：32 / 42