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 | |
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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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