Electron. J. Differential Equations, Vol. 2016 (2016), No. 337, pp. 1-16.

Solving the Stokes problem in a domain with corners by the mortar spectral element method

Azhar Al Salem, Nejmeddine Chorfi

Abstract:
In this article, we implement the mortar spectral element method for the Stokes problem on a domain within corners. We consider the Strang and Fix algorithm, which permits to enlarge the discrete space of the velocity by the first singular function. The usefulness of this method is confirmed by the numerical results presented here.

Submitted September 3, 2016. Published December 28, 2016.
Math Subject Classifications: 35J15, 78M22.
Key Words: Mortar spectral element method; Stokes problem; singularity; Uzawa algorithm.

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  Azhar Al Salem
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: azhar2002@msn.com
Nejmeddine Chorfi
Department of Mathematics, College of Science
King Saud University, P.O. Box 2455
Riyadh 11451, Saudi Arabia
email: nchorfi@ksu.edu.sa

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