A Nonconforming Rectangular Finite Element Analysis for the Stokes Problem

A Nonconforming Rectangular Finite Element Analysis for the Stokes Problem

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摘要 A nonconforming rectangular finite element is presented, which satisfies the discrete B-B condition for the Stokes problem. And the element has two order convergence rate for the velocity and pressure.

作者 XIAO Liu-chao CHEN Shao-chun

机构地区 College of Science Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期621-627,共7页 数学季刊（英文版）

基金 Foundation item： Supported by the National Natural Science Foundation of China（10771198, 10590353） Supported by the Doctor Foundation（2008BS013） Supported by the Natural Science Foundation of Henan Province （682300410200）

关键词 Stokes problem nonconforming finite element B-B condition Stokes问题非协调有限元有限元分析矩形收敛速度

分类号 O241.82 [理学—计算数学] TQ336.1 [化学工程—橡胶工业]

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参考文献8

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2石东洋,裴丽芳.Superconvergence of nonconforming finite element penalty scheme for Stokes problem using L^2 projection method[J].Applied Mathematics and Mechanics(English Edition),2013,34(7):861-874. 被引量：3
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5CAO Ji-wei,LIU Ming-fang,CHEN Shao-chun.Mixed Finite Element Formats of any Order Based on Bubble Functions for Stationary Stokes Problem[J].Chinese Quarterly Journal of Mathematics,2016,31(1):87-95. 被引量：1
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Chinese Quarterly Journal of Mathematics

2009年第4期

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A Nonconforming Rectangular Finite Element Analysis for the Stokes Problem

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