Mohamed Abdelwahed, Nejmeddine Chorfi, Vicentiu D. Radulescu
Abstract:
This article concerns the numerical analysis and the error estimate
of the biharmonic problem with homogeneous boundary conditions
using the mortar spectral element method in domains with corners.
Since the solution of this problem can be written as a sum of a regular
part and known singular functions, we propose to use the Strang and
Fix algorithm for improving the order of the error.
Submitted January 7, 2017. Published March 24, 2017.
Math Subject Classifications: 78M22, 35J15.
Key Words: Biharmonic problem; mortar method; spectral discretizatio;
Strang and Fix algorithm.
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Mohamed Abdelwahed Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: mabdelwahed@ksu.edu.sa |
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Nejmeddine Chorfi Department of Mathematics, College of Sciences King Saud University Riyadh, Saudi Arabia email: nchorfi@ksu.edu.sa |
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Vicentiu Radulescu Institute of Mathematics "Simion Stoilow" of the Romanian Academy P.O. Box 1-764, 014700 Bucharest, Romania email: vicentiu.radulescu@imar.ro |
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