An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park, Boyoon Seo

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Abstract

An upstream scheme based on the pseudostress-velocity mixed formulation is studied to solve convection-dominated Oseen equations. Lagrange multipliers are introduced to treat the trace-free constraint and the lowest order Raviart-Thomas finite element space on rectangular mesh is used. Error analysis for several quantities of interest is given. Particularly, first-order convergence in L2 norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.

Original languageEnglish
Pages (from-to)267-285
Number of pages19
JournalBulletin of the Korean Mathematical Society
Volume51
Issue number1
DOIs
Publication statusPublished - 2014 Jan 30

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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