Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains

被引：3

作者：

Han, Houde ^{[1
]}

Huang, Zhongyi ^{[1
]}

Yin, Dongsheng ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2008年 / 6卷 / 01期

关键词：

quasilinear elliptic equation; unbounded domain; artificial boundary condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

To study the numerical solutions of quasilinear elliptic equations on unbounded domains in two or three dimensional cases, we introduce a circular or spherical artificial boundary. Based on the Kirchhoff transformation and the Fourier series expansion, the exact artificial boundary condition and a series of its approximations of the given quasilinear elliptic problem are presented. Then the original problem is equivalently or approximately reduced to a bounded computational domain. The well-posedness of the reduced problems are proved and the convergence results of our numerical solutions on bounded computational domain are given.

引用

页码：71 / 83

页数：13

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