A Galerkin boundary node method for biharmonic problems

被引：49

作者：

Li, Xiaolin ^{[1
]}

Zhu, Jialin ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Phys, Chongqing 400044, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2009年 / 33卷 / 06期

关键词：

Meshless; Galerkin boundary node method; Biharmonic equation; Moving least-squares; Boundary integral equation; POTENTIAL PROBLEMS; LINEAR ELASTICITY; MESHLESS ANALYSIS; CONVERGENCE;

D O I：

10.1016/j.enganabound.2008.11.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Galerkin boundary node method (GBNM) is developed in this paper for solving biharmonic problems. The GBNM combines an equivalent variational form of boundary integral formulations for governing equations with the moving least-squares approximations for construction of the trial and test functions. in this approach, only a nodal data structure on the boundary of a domain is required. In addition, boundary conditions can be implemented accurately and the system matrices are symmetric. The convergence of this method and numerical examples are given to show the efficiency. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：858 / 865

页数：8

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