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A POSTERIORI ERROR ESTIMATES OF A NON-CONFORMING FINITE ELEMENT METHOD FOR PROBLEMS WITH ARTIFICIAL BOUNDARY CONDITIONS
  • ISSN号：0254-9409
  • 期刊名称：《计算数学：英文版》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学] O351.3[理学—流体力学;理学—力学]
  • 作者机构：[1]LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, China
  • 相关基金：The research was supported by the Special Funds for Major State Basic Research Projects （2005CB321701）, NSFC （10431050, 10571006 and 10528102） and RFDP of China. We are grateful to the referees for their valuable comments and advices, which helped us much improved the paper.
作者： Xianmin Xu Zhiping Li[1]
关键词： 后验误差估计, 人工边界条件, 非协调有限元法, 线性椭圆问题, 有限元逼近, 有限元近似, 估计效率, 无界域, a posteriori estimate, nonconforming finite element method, artificial boundary conditions
中文摘要：

一一个 posteriori 错误评估者为 nonconforming 被获得一个线性椭圆形的问题的有限元素近似，它被使用一个非局部的近似人工的边界条件从一个相应无界的领域问题导出。我们的方法能容易被扩大获得一个 posteriori 错误的一个班为各种各样的一致和 nonconforming 的评估者有不同人工的边界条件的问题的有限元素近似。可靠性和效率我们的一个 posteriori 错误评估者被数字例子严厉地证明并且被验证。[从作者抽象]

英文摘要：

An a posteriori error estimator is obtained for a nonconforming finite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approximate artificial boundary condition. Our method can be easily extended to obtain a class of a posteriori error estimators for various conforming and nonconforming finite element approximations of problems with different artificial boundary conditions. The reliability and efficiency of our a posteriori error estimator are rigorously proved and are verified by numerical examples.

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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