An Anisotropic Posteriori Error Estimator of Bilinear Element

被引：0
|
作者：
YIN Li~(1
2.Department of Mathematics
机构：
来源：
数学季刊 | 2007年 / 04期
关键词：
finite element method; anisotropic; superconvergence; posteriori error estimate;
D O I：
暂无
中图分类号：
O242.1 [数学模拟];
学科分类号：
摘要：
The main aim of this paper is to give an anisotropic posteriori error estimator. We firstly study the convergence of bilinear finite element for the second order problem under anisotropic meshes.By using some novel approaches and techniques,the optimal error estimates and some superconvergence results are obtained without the regularity assumption and quasi-uniform assumption requirements on the meshes.Then,based on these results, we give an anisotropic posteriori error estimate for the second problem.
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页码：492 / 499
页数：8
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