The scaled boundary FEM for nonlinear problems

被引：21

作者：

Lin, Zhiliang ^{[1
]}

Liao, Shijun ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Scaled boundary finite-element; Homotopy analysis method; Nonlinear problem; FINITE-ELEMENT-METHOD; HOMOTOPY ANALYSIS METHOD; APPROXIMATE SOLUTION; MECHANICS; FLOW;

D O I：

10.1016/j.cnsns.2010.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The traditional scaled boundary finite-element method (SBFEM) is a rather efficient semi-analytical technique widely applied in engineering, which is however valid mostly for linear differential equations. In this paper, the traditional SBFEM is combined with the homotopy analysis method (HAM), an analytic technique for strongly nonlinear problems: a nonlinear equation is first transformed into a series of linear equations by means of the HAM, and then solved by the traditional SBFEM. In this way, the traditional SBFEM is extended to nonlinear differential equations. A nonlinear heat transfer problem is used as an example to show the validity and computational efficiency of this new SBFEM. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：63 / 75

页数：13

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