Handling geometric singularities by the mortar spectral element method for fourth-order problems
Date
2017-03-24
Authors
Abdelwahed, Mohamed
Chorfi, Nejmeddine
Radulescu, Vicentiu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Biharmonic problem, Mortar method, Spectral discretization, Strang and Fix algorithm
Citation
Abdelwahed, M., Chorfi, N., & Radulescu (2017). Handling geometric singularities by the mortar spectral element method for fourth-order problems. <i>Electronic Journal of Differential Equations, 2017</i>(82), pp. 1-13.
Rights
Attribution 4.0 International