A solution method for a certain nonlinear interface problem in unbounded domains

被引：17

作者：

Hu, Q ^{[1
]}

Yu, D ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China

来源：

COMPUTING | 2001年 / 67卷 / 02期

关键词：

interface problem; FEM-BEM coupling; steepest descent method; preconditioner; condition number;

D O I：

10.1007/s006070170010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider a kind of nonlinear interface problem in unbounded domains. To solve this problem. we discuss a new coupling of finite element and boundary element by adding an auxiliary circle. We first derive the optimal error estimate of finite element approximation to the coupled FEM-BEM problem. Then we introduce a preconditioning steepest descent method for solving the discrete system by constructing a cheap domain decomposition preconditioner. Moreover, we give a complete analysis to the convergence speed of this iterative method.

引用

页码：119 / 140

页数：22

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