Boundary element method for general nonlinear differential operators

被引：108

作者：

Liao, SJ ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Naval Architecture & Ocean Engn, Shanghai 200030, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1997年 / 20卷 / 02期

关键词：

BEM; nonlinearity; general differential operators;

D O I：

10.1016/S0955-7997(97)00043-X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the basic ideas of homotopy in topology is applied to give a kind of high-order Boundary Element Method (BEM) formulations for strongly nonlinear problems governed by quite general nonlinear differential operators which may NOT contain any linear operators at all. As a result, the traditional BEM which treats the nonlinear parts as the inhomogeneities is only a special case of the proposed formulations. Two simple examples are used to illustrate its effectiveness. (C) 1997 Elsevier Science Ltd.

引用

页码：91 / 99

页数：9

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