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二阶问题Adini元的误差估计
引用本文:高继梅,李文华.二阶问题Adini元的误差估计[J].数学季刊,2007,22(3):364-369.
作者姓名:高继梅  李文华
作者单位:[1]Department of Mathematics, Zhoukou Normal College, Zhoukou 466001, China [2]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
摘    要:The main aim of this paper is to have an accurate analysis on the famous Adini's element for the second order problems under to the anisotropic meshes. We firstly show that the interpolation of Adini's element satisfy the anisotropic property. Then the optimal error estimate is obtained without the regularity assumption on the meshes.

关 键 词:二阶问题  Adini元  误差估计  规则假设
文章编号:1002-0462(2007)03-0364-06
收稿时间:2006-12-10
修稿时间:2006年12月10

On the Error Estimate of Adini's Element for the Second Order Problems
GAO Ji-mei,LI Wen-hua.On the Error Estimate of Adini''''s Element for the Second Order Problems[J].Chinese Quarterly Journal of Mathematics,2007,22(3):364-369.
Authors:GAO Ji-mei  LI Wen-hua
Abstract:The main aim of this paper is to have an accurate analysis on the famous Adini's element for the second order problems under to the anisotropic meshes. We firstly show that the interpolation of Adini's element satisfy the anisotropic property. Then the optimal error estimate is obtained without the regularity assumption on the meshes.
Keywords:Adini's element  anisotropic  regularity assumption  error estimate
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