Electron. J. Differential Equations, Vol. 2017 (2017), No. 82, pp. 1-13.

Handling geometric singularities by the mortar spectral element method for fourth-order problems

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
Nejmeddine Chorfi
Department of Mathematics, College of Sciences
King Saud University
Riyadh, Saudi Arabia
email: nchorfi@ksu.edu.sa
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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