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 < ∞.

引用

页码：497 / 505

页数：8

共 12 条

[1]

Arnold D.N.(1981)Superconvrgence of a finite element approximation to the solution of Soblev equation in a single space variable Math.Comp. 36 53-63

[2]

Douglas J.(1990)A Ritz-Volterra projection to finite-element spaces and approximations to integro-differential and related equations SIAM J. Numer. Anal. 27 608-621

[3]

Thomee V.(1996)On superconvergence results and negative norm for parabolic integro-differetial equations J.Integral Equations Appl. 8 65-98

[4]

Lin Y.P.(1990)On stability and application of the non-classical elliptic projection Numer.Math., J.Chinese Univ. 12 260-269

[5]

Thomée V.(1991)undefined Numer.Math.Sinica 12 177-186

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