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Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
Authors:Andreas Karageorghis
Affiliation:(1) Department of Mathematics and Statistics, University of Cyprus, P.O. Box 537, Nicosia, Cyprus
Abstract:Four and six-element conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on standard test problems.Parts of this work were performed while the author was at the Mathematics Department, Southern Methodist University, Dallas, Texas 75275.
Keywords:Spectral methods  Collocation  Chebyshev polynomials
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