A nonconforming primal mixed finite element method for the stokes equations

Sungmin Cho, Eun Jae Park

Research output: Contribution to journalArticle

Abstract

In this article, we propose and analyze a new nonconforming primal mixed finite element method for the stationary Stokes equations. The approximation is based on the pseudostress-velocity formulation. The incompressibility condition is used to eliminate the pressure variable in terms of trace-free pseudostress. The pressure is then computed from a simple post-processing technique. Unique solvability and optimal convergence are proved. Numerical examples are given to illustrate the performance of the method.

Original languageEnglish
Pages (from-to)1655-1668
Number of pages14
JournalBulletin of the Korean Mathematical Society
Volume51
Issue number6
DOIs
Publication statusPublished - 2014 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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