A nonconforming primal mixed finite element method for the Stokes equations
Bull. Korean Math. Soc. 2014 Vol. 51, No. 6, 1655-1668
https://doi.org/10.4134/BKMS.2014.51.6.1655
Published online November 30, 2014
Sungmin Cho and Eun-Jae Park
Yonsei University, Yonsei University
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
MSC numbers : Primary 58B34, 58J42, 81T75
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