An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park; Boyoon Seo

doi:10.4134/BKMS.2014.51.1.267

An upstream pseudostress-velocity mixed formulation for the Oseen equations

Eun Jae Park, Boyoon Seo

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	267-285
Number of pages	19
Journal	Bulletin of the Korean Mathematical Society
Volume	51
Issue number	1
DOIs	https://doi.org/10.4134/BKMS.2014.51.1.267
Publication status	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4134/BKMS.2014.51.1.267

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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.",

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AB - 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.

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An upstream pseudostress-velocity mixed formulation for the Oseen equations

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