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An upstream pseudostress-velocity mixed formulation for the Oseen equations

서보윤|박은재
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회보 (Bulletin of the KMS)|제51권 제1호|pp. 267-285

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참고문헌

키워드

pseudostress-velocity formulationupstream schememixed finite elementOseen equations
주제분류수학

초록

An upstream scheme based on the pseudostress-velocity mix- ed 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. Par- ticularly, 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.

Abstract

An upstream scheme based on the pseudostress-velocity mix- ed 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. Par- ticularly, 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.

참고문헌 (23)

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