Two order superconvergence of finite element methods for Sobolev equations

被引：0
|
作者：
Li Q. [1 ]
Wei H. [2 ]
机构：
[1] Department of Mathematics, Shandong Normal University Jinan, Shandong
[2] Institute of Mathematics, Chinese Academy of Sciences, Beijing
来源：
Korean Journal of Computational and Applied Mathematics | 2001年 / 8卷 / 3期
关键词：
Finite element methods; Sobolev equations; Superconvergence;
D O I：
10.1007/BF02941982
中图分类号：
学科分类号：
摘要：
We consider finite element methods applied to a class of Sobolev equations in Rd(d ≥ 1). Global strong superconvergence, which only requires that partitions are quasi-uniform, is investigated for the error between the approximate solution and the Ritz-Sobolev projection of the exact solution. Two order superconvergence results are demonstrated in W1, p(Ω) and Lp(Ω) for 2 ≤ p < ∞.
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页码：497 / 505
页数：8
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