Approximation of the leading singular coefficient of an elliptic fourth-order equation

Date

2017-12-14

Authors

Abdelwahed, Mohamed
Chorfi, Nejmeddine
Radulescu, Vicentiu

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Bilaplacian equation, Singularity coefficient, Dual singular method, Mortar spectral element method

Citation

Abdelwahed, M., Chorfi, N., & Radulescu, V. D. (2017). Approximation of the leading singular coefficient of an elliptic fourth-order equation. <i>Electronic Journal of Differential Equations, 2017</i>(305), pp. 1-15.

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Attribution 4.0 International

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