Generalized boundary element method for galerkin boundary integrals

被引：6

作者：

Nicolazzi, LC ^{[1
]}

Barcellos, CS

Fancello, EA

Duarte, CAM

机构：

[1] Univ Fed Santa Catarina, Dept Engn Mecan, BR-88010970 Florianopolis, SC, Brazil

[2] Pontificia Univ Catolica Minas Gerais, IPUC, BR-30535610 Belo Horizonte, MG, Brazil

[3] Univ Alberta, Dept Mech Engn, Edmonton, AB, Canada

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2005年 / 29卷 / 05期

关键词：

galerkin method; BEM p-adaptivity; symmetrical BEM; Hp-clouds; partition of unity;

D O I：

10.1016/j.enganabound.2004.12.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A meshless approach to the Boundary Element Method in which only a scattered set of points is used to approximate the solution is presented. Moving Least Square approximations are used to build a Partition of Unity on the boundary and then used to construct, at low cost, trial and test functions for Galerkin approximations. A particular case in which the Partition of Unity is described by linear boundary element meshes, as in the Generalized Finite Element Method, is then presented. This approximation technique is then applied to Galerkin boundary element formulations. Finally, some numerical accuracy and convergence solutions for potential problems are presented for the singular, hypersingular and symmetric approaches. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：494 / 510

页数：17

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