首页 | 本学科首页   官方微博 | 高级检索  
     检索      

双线形元的各向异性后验误差估计
引用本文:尹丽,职桂珍.双线形元的各向异性后验误差估计[J].数学季刊,2007,22(4):492-499.
作者姓名:尹丽  职桂珍
作者单位:YIN Li~(1,2) ZHI Gui-zhen~2 (1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China;2.Department of Mathematics,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
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.

关 键 词:有限元分析  各向异性  超收敛  误差估计
文章编号:1002-0462(2007)04-0492-08
收稿时间:2005-11-18
修稿时间:2005年11月18

An Anisotropic Posteriori Error Estimator of Bilinear Element
YIN Li,ZHI Gui-zhen.An Anisotropic Posteriori Error Estimator of Bilinear Element[J].Chinese Quarterly Journal of Mathematics,2007,22(4):492-499.
Authors:YIN Li  ZHI Gui-zhen
Abstract: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.
Keywords:finite element method  anisotropic  superconvergence  posteriori error estimate
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号