An upstream pseudostress-velocity mixed formulation for the Oseen equations
Bull. Korean Math. Soc. 2014 Vol. 51, No. 1, 267-285
https://doi.org/10.4134/BKMS.2014.51.1.267
Printed January 1, 2014
Eun-Jae Park and Boyoon Seo
Yonsei University, Yonsei University
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 $L^2$ norm for the velocity is proved. Finally, numerical experiments for various cases are presented to show the efficiency of this method.
Keywords : pseudostress-velocity formulation, upstream scheme, mixed finite element, Oseen equations
MSC numbers : Primary 58B34, 58J42, 81T75
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