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A Spectral Mortar Element Discretization of the Poisson Equation with Mixed Boundary Conditions
Authors:Zakaria Belhachmi  Andreas Karageorghis
Affiliation:(1) LMAM, UMR 7122, Université de Metz, Ile de Saulcy, 57045 Metz Cedex 01, France;(2) Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
Abstract:In this paper, we study a spectral mortar element discretization of the Poisson equation on a square subject to mixed boundary conditions of Dirichlet and Neumann type. We carry out the numerical analysis of the method and derive error estimates. An efficient algorithm for the solution of the problem is proposed and numerical tests confirming the theoretical results are presented.
Keywords:Poisson equation  spectral methods  mortar element methods  anisotropy  singularities
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