A boundary element method recursive procedure applied to Poisson's problems

被引：2

作者：

Ramos, V. E. S. ^{[1
]}

Loeffler, C. F. ^{[2
]}

Mansur, W. J. ^{[3
]}

机构：

[1] Inst Fed Educ Ciencia & Tecnol Espirito Santo, Sao Mateus, ES, Brazil

[2] Univ Fed Espirito Santo, Programa Pos Grad Engn Mecan, BR-29075910 Vitoria, ES, Brazil

[3] Univ Fed Rio de Janeiro, LamemoLab, PEC, COPPE,Ctr Tecnol,Ilha Fundao, Ave Pedro Calmon S-N, BR-21941596 Rio De Janeiro, Brazil

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2017年 / 82卷

关键词：

Boundary element method; Recursive procedure; Weighted residual method; Poisson's equation;

D O I：

10.1016/j.enganabound.2017.06.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper describes a simple procedure to increase the accuracy of the boundary element method (BEM) results in Poisson's problems using coarse meshes. Usually, BEM values at internal points are obtained by reusing the boundary integral equation, after having calculated all variables at the nodal points on the boundary. Accuracy in results of these internal points is superior to that obtained at boundary nodes and the reason for that can be assigned to a new minimization of residuals performed. Therefore, this idea can be used to improve BEM results by means of choosing new source points on the boundary at positions different from those of the original nodes. Tests carried out with problems governed by Laplace's equation and Navier's equation were successful; thus, this procedure is now applied to Poisson's problems that allow a more comprehensive evaluation of the performance of proposed technique. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：104 / 110

页数：7

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