Super-Geometric Convergence of Spectral Element Method for Eigenvalue Problems with Jump Coefficients
Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 418–428
Abstract
We propose and analyze a $C^0$ spectral element method for a model eigenvalue problem with discontinuous coefficients in the one dimensional setting. A super-geometric rate of convergence is proved for the piecewise constant coefficients case and verified by numerical tests. Furthermore, the asymptotical equivalence between a Gauss-Lobatto collocation method and a spectral Galerkin method is established for a simplified model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.10-m1006
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 418–428
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Eigenvalue Spectral method Collocation Galerkin finite element method.
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