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Mathematical Problems in Engineering
Volume 2013, Article ID 650530, 9 pages
Research Article

Spectral Method with the Tensor-Product Nodal Basis for the Steklov Eigenvalue Problem

School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China

Received 18 January 2013; Accepted 3 September 2013

Academic Editor: Daoyi Dong

Copyright © 2013 Xuqing Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Jie Liu, Tian Xia, and Wei Jiang, “A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Finite Element Approximation of the Eigenvalue Problems,” Mathematical Problems in Engineering, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Jing An, Hai Bi, and Zhendong Luo, “A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue,” Journal of Inequalities and Applications, vol. 2016, no. 1, 2016. View at Publisher · View at Google Scholar
  • Feiyan Li, and Hai Bi, “A Type of Multigrid Method Based on the Fixed-Shift Inverse Iteration for the Steklov Eigenvalue Problem,” Advances in Mathematical Physics, vol. 2016, pp. 1–13, 2016. View at Publisher · View at Google Scholar
  • Ting Tan, and Jing An, “Spectral Galerkin approximation and rigorous error analysis for the Steklov eigenvalue problem in circular domain,” Mathematical Methods in the Applied Sciences, 2018. View at Publisher · View at Google Scholar