A general method for evaluation of 2D and 3D domain integrals without domain discretization and its application in BEM

被引：64

作者：

Hematiyan, M. R. ^{[1
]}

机构：

[1] Shiraz Univ, Dept Mech Engn, Shiraz, Iran

来源：

COMPUTATIONAL MECHANICS | 2007年 / 39卷 / 04期

关键词：

BEM; domain integral; boundary integral; adaptive integration;

D O I：

10.1007/s00466-006-0050-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A robust method is presented to evaluate 2D and 3D domain integrals without domain discretization. Each domain integral is transformed into a double integral, a boundary integral and a 1D integral. Both integrals are evaluated by adaptive Simpson quadrature method. The method can be used to evaluate domain integrals over simply or multiply connected regions with any arbitrary form of integrands. As an application of the method, domain integrals produced in boundary element formulation of potential and elastostatic problems are analyzed. Several examples are provided to show the validity and accuracy of the method.

引用

页码：509 / 520

页数：12

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