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A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane
  • ISSN号：0254-9409
  • 期刊名称：计算数学(英文版)
  • 时间：0
  • 页码：378-389
  • 语言：中文
  • 分类：O24[理学—计算数学;理学—数学]
  • 作者机构：[1]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • 相关基金：Acknowledgments. This research is supported by the National Basic Research Program of China under the grant 2005CB321701, the National Natural Science Foundation of China under the grant 10531080, and Beijing Natural Science Foundation under the grant 1072009.
  • 相关项目：若干非线性问题的数值解法
作者： Yu, Dehao|Liu, Dongjie|
关键词： 边界元, 耦合, 有限元分析, 计算方法, Boundary element, Coupling, Finite element, Quasilinear problems
中文摘要：

在这篇论文，有限元素方法和边界元素方法被联合数字地解决外面的伪线性椭圆形的问题。基于适当转变和 Fourier 系列扩大，线性人工的边界调节的准确的伪并且一系列为给定的问题的相应近似被介绍。然后，原来的问题被简化为在一个围住的计算领域定义的一个相等的问题。我们为 Galerkin 方法提供错误估计。数字结果被介绍说明理论结果。

英文摘要：

In this paper, the finite element method and the boundary element method are combined to solve numerically an exterior quasilinear elliptic problem. Based on an appropriate transformation and the Fourier series expansion, the exact quasilinear artificial boundary conditions and a series of the corresponding approximations for the given problem are presented. Then the original problem is reduced into an equivalent problem defined in a bounded computational domain. We provide error estimate for the Galerkin method. Numerical results are presented to illustrate the theoretical results.

同期刊论文项目
若干非线性问题的数值解法
期刊论文 78 会议论文 13 获奖 1
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期刊信息
  • 《计算数学：英文版》
  • 主管单位:
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：
  • 地址：北京2719信箱
  • 邮编：100080
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-9409
  • 国内统一刊号：ISSN：11-2126/O1
  • 邮发代号:
  • 获奖情况:
  • 中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库
  • 被引量:193