Integral and geometrical means in the analytical evaluation of the BEM integrals for a 3D Laplace equation

被引：8
作者：
Jablonski, Pawel [1 ]
机构：
[1] Czestochowa Tech Univ, Fac Elect Engn, PL-42200 Czestochowa, Poland
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 03期
关键词：
Boundary element method; Analytical integration; Nearly singular integrals; Laplace equation; SINGULAR-INTEGRALS; FORMULATIONS; ELEMENTS;
D O I：
10.1016/j.enganabound.2009.10.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
By using integral theorems and geometrical interpretations, the analytical formulas for the coefficients occurring in boundary element method (BEM) equations for a 3D Laplace equation were found for arbitrary planar polygonal boundary elements with constant approximation. Closed forms for the gradients of the coefficients were also obtained. In addition, an analytical formula for planar triangular boundary elements with a linear approximation of potential was given. The formulas obtained are appropriate especially in singular and nearly singular cases. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：264 / 273
页数：10
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