On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R2

被引：8

作者：

Wu, ZP ^{[1
]}

Kang, T

Yu, DH

机构：

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

[2] Beijing Broadcasting Inst, Dept Appl Math, Beijing 100024, Peoples R China

[3] Pohang Univ Sci & Technol, Combinatorial & Computat Math Ctr, Phoang 790784, South Korea

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2004年 / 47卷 / Suppl 1期

关键词：

natural boundary integral method; finite element method; coupling method; error estimate;

D O I：

10.1360/04za0017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the natural boundary reduction advanced by Feng and Yu, we couple the finite element approach with the natural boundary element method to study the weak solvability and Galerkin approximation of a class of nonlinear exterior boundary value problems. The analysis is mainly based on the variational formulation with constraints. We prove the error estimate of the finite element solution and obtain the asymptotic rate of convergence. Finally, we also give a numerical example.

引用

页码：181 / 189

页数：9

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