Mohamed Abdelwahed, Nejmeddine Chorfi, Vicentiu D. Radulescu
Abstract:
The solution of the biharmonic equation with an homogeneous boundary
conditions is decomposed into a regular part and a singular one.
The later is written as a coefficient multiplied by the first singular
function associated to the bilaplacian operator. In this paper,
we consider the dual singular method for finding the value of the
leading singular coefficient, and we use the mortar domain decomposition
technique with the spectral discretization for its approximation.
The numerical analysis leads to optimal error estimates. We present some
numerical results which are in perfect coherence with the analysis
developed in this paper.
Submitted October 11, 2017. Published December 14, 2017.
Math Subject Classifications: 35J15, 78M22.
Key Words: Bilaplacian equation; singularity coefficient;
dual singular method; mortar spectral element method.
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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 D. Radulescu AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Krakow, Poland email: vicentiu.radulescu@imar.ro |
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