Superconvergence of nonconforming finite element method for the Stokes equations

被引：41
|
作者：
Ye, X [1 ]
机构：
[1] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2002年 / 18卷 / 02期
关键词：
finite element methods; superconvergence Stokes problems;
D O I：
10.1002/num.1036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article derives a general superconvergence result for nonconforming finite element approximations of the Stokes problem by using a least-squares surface fitting method proposed and analyzed recently by Wang for the standard Galerkin method. The superconvergence result is based on some regularity assumption for the Stokes problem and is applicable to any nonconforming stable finite elements with regular but nonuniform partitions. (C) 2002 Wiley Periodicals, Inc.
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页码：143 / 154
页数：12
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