Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations

被引：53
作者：
Liu, Huipo [2 ]
Yan, Ningning [1 ]
机构：
[1] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2008年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
stokes equations; nonconforming finite element; superconvergence;
D O I：
10.1007/s10444-007-9054-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes Equations is discussed. The superclose property is proven for rectangular meshes; then global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results.
引用
收藏
页码：375 / 392
页数：18
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