双线形元的各向异性后验误差估计

数学季刊 ›› 2007, Vol. 22 ›› Issue (4): 492-499.

双线形元的各向异性后验误差估计

Department of Mathematics, Zhengzhou University, Zhengzhou 450052,China; 2.Department of Mathematics, Zhengzhou University of Light Industry, Zhengzhou 450002, China

收稿日期:2005-11-18 出版日期:2007-12-30 发布日期:2023-10-18
作者简介:YIN Li(1969-), female, native of Zhumadian, Henan, an associate professor of Zhengzhou Uni- versity of Light Industry, engages in finite element methods.
基金资助:
Supported by NSF of China(10471113,10590353)；

An Anisotropic Posteriori Error Estimator of Bilinear Element

Department of Mathematics, Zhengzhou University, Zhengzhou 450052,China; 2.Department of Mathematics, Zhengzhou University of Light Industry, Zhengzhou 450002, China

Received:2005-11-18 Online:2007-12-30 Published:2023-10-18
About author:YIN Li(1969-), female, native of Zhumadian, Henan, an associate professor of Zhengzhou Uni- versity of Light Industry, engages in finite element methods.
Supported by:
Supported by NSF of China(10471113,10590353)；

摘要/Abstract

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.

中图分类号:

O242.1

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.

YIN Lil, ZHI Gui-zhen. An Anisotropic Posteriori Error Estimator of Bilinear Element [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 492-499.

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