AN UPSTREAM PSEUDOSTRESS-VELOCITY MIXED FORMULATION FOR THE OSEEN EQUATIONS

Title & Authors
AN UPSTREAM PSEUDOSTRESS-VELOCITY MIXED FORMULATION FOR THE OSEEN EQUATIONS
Park, Eun-Jae; Seo, Boyoon;

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 $\small{L^2}$ 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;
Language
English
Cited by
1.
A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem, IMA Journal of Numerical Analysis, 2017, 37, 1, 296
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