Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem

被引：0

作者：

Baoqing Liu

Qikui Du

机构：

[1] Nanjing University of Finance and Economics and Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems,School of Applied Mathematics

[2] Nanjing Normal University and Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems,School of Mathematical Sciences

来源：

Applications of Mathematics | 2014年 / 59卷

关键词：

quasilinear elliptic equation; domain decomposition method; natural integral equation; 65N30; 35J65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by the Kirchhoff transformation, a Dirichlet-Neumann (D-N) alternating algorithm which is a non-overlapping domain decomposition method based on natural boundary reduction is discussed for solving exterior anisotropic quasilinear problems with circular artificial boundary. By the principle of the natural boundary reduction, we obtain natural integral equation for the anisotropic quasilinear problems on circular artificial boundaries and construct the algorithm and analyze its convergence. Moreover, the convergence rate is obtained in detail for a typical domain. Finally, some numerical examples are presented to illustrate the feasibility of the method.

引用

页码：285 / 301

页数：16

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