自适应有限元方法在凹角域线性椭圆方程的应用(续)(英文)

Adaptive Finite Element Method Based on Optimal Error Estimtes for Linear Elliptic Problems on Concave Corner Domains (continuation)

中文关键词:  自适应有限元方法  凹角域  椭圆方程

英文关键词:adaptive finite element method  concave corner domain  elliptic problems

中文摘要:

      作为序列文章自适应有限元方法在凹角域线性椭圆方程的应用的第三篇,在本文我们将给出并详细论证一个重要结论即 |?(u(x)-U(x))|≤Ch(x)|x|^β-2,|x|≥C′h且进一步分析说明在本序列文章的第一部分和地二部分得出方法都是以此为基础作出的。

英文摘要:

      This paper is the third part in a series of papers on adaptive finite element methods based on optimal error estimates for linear elliptic problems on the concave corner domains. In this paper, a result is obtained. The algorithms for error control both in the energy norm and in the maximum norm presented in part 1 and part 2 of this series arc based on this result.