Stable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral grids

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• 作者：Shuo Zhang
• 刊名：Numerische Mathematik
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：133
• 期：2
• 页码：371-408
• 全文大小：790 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Numerical Analysis
  Mathematics
  Mathematical and Computational Physics
  Mathematical Methods in Physics
  Numerical and Computational Methods
  Applied Mathematics and Computational Methods of Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：0945-3245
• 卷排序：133

文摘

In this paper, we construct a stable finite element pair for incompressible Stokes problem and a discrete Stokes complex associated with that pair on general quadrilateral grids. The finite element spaces involved consist of piecewise polynomials only, and the divergence-free condition is imposed in a primal formulation. These constructions can be generated onto grids that consist of both triangular and quadrilateral cells.Mathematics Subject Classification65M6076M10