Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations

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• 作者：Chao Xu ; Dongyang Shi ; Xin Liao
• 刊名：Applied Mathematics and Mechanics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：37
• 期：8
• 页码：1095-1112
• 全文大小：416 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754
• 卷排序：37

文摘

This paper studies a low order mixed finite element method (FEM) for nonstationary incompressible Navier-Stokes equations. The velocity and pressure are approximated by the nonconforming constrained Q₁rot element and the piecewise constant, respectively. The superconvergent error estimates of the velocity in the broken H1-norm and the pressure in the L2-norm are obtained respectively when the exact solutions are reasonably smooth. A numerical experiment is carried out to confirm the theoretical results.Key wordsnonstationary incompressible Navier-Stokes equationconstrained Q₁rot nonconforming finite element (FE)superconvergent error estimate