@Article{JCM-28-418, author = {Lin Wang, Ziqing Xie and Zhimin Zhang}, title = {Super-Geometric Convergence of Spectral Element Method for Eigenvalue Problems with Jump Coefficients}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {3}, pages = {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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.10-m1006}, url = {http://global-sci.org/intro/article_detail/jcm/8528.html} }