Complete analytic integrations for the 2D BEM representation of the Laplace equation with linear shape functions

被引：0
|
作者：
Cambareri, Pasquale [1 ]
Di Rienzo, Luca [1 ]
机构：
[1] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, I-20133 Milan, Italy
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2021年 / 132卷
关键词：
Boundary element method; Analytical integrations; Linear elements; BOUNDARY-ELEMENT METHOD;
D O I：
10.1016/j.enganabound.2021.07.017
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper proposes a complete set of analytical formulae to handle the 2D BEM representation of the Laplace when geometry is approximated by linear elements and unknown function by continuous linear shape functions. Results already published in literature are corrected and the expressions for collinear domain integrations are introduced. The numerical validation is performed on a problem with analytic solution.
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页码：481 / 488
页数：8
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