Superconvergence of nonconforming finite element method for the Stokes equations
Superconvergence of nonconforming finite element method for the Stokes equations
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DOI：
10.1002/num.1036
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发表时间：
2002-03
影响因子：
3.9
通讯作者：
X. Ye
中科院分区：
文献类型：
--
作者：
X. Ye
本文利用Wang最近提出并分析的最小二乘曲面拟合法，对标准Galerkin方法，导出了Stokes问题非协调有限元逼近的一般超收敛结果。超收敛结果基于Stokes问题的某些正则性假设，适用于任何具有规则但非均匀划分的非协调稳定有限元。2002年威利期刊公司Numer方法偏微分公式18：143154,2002年；DOI 10.1002/Num.1036
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. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 143–154, 2002; DOI 10.1002/num.1036