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http://dx.doi.org/10.4134/BKMS.2014.51.6.1655

A NONCONFORMING PRIMAL MIXED FINITE ELEMENT METHOD FOR THE STOKES EQUATIONS  

Cho, Sungmin (Department of Mathematics Yonsei University)
Park, Eun-Jae (Department of Mathematics and Department of Computational Science and Engineering Yonsei University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1655-1668 More about this Journal
Abstract
In this article, we propose and analyze a new nonconforming primal mixed finite element method for the stationary Stokes equations. The approximation is based on the pseudostress-velocity formulation. The incompressibility condition is used to eliminate the pressure variable in terms of trace-free pseudostress. The pressure is then computed from a simple post-processing technique. Unique solvability and optimal convergence are proved. Numerical examples are given to illustrate the performance of the method.
Keywords
primal mixed finite elements; nonconforming methods; error estimates; Stokes problems; pseudostress-velocity formulation;
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