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

Xuqing Zhang, Yidu Yang and Hai Bi

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

This paper discusses spectral method with the tensor-product nodal basis at the Legendre-Gauss-Lobatto points for solving the Steklov eigenvalue problem. A priori error estimates of spectral method are discussed, and based on the work of Melenk and Wohlmuth (2001), a posterior error estimator of the residual type is given and analyzed. In addition, this paper combines the shifted-inverse iterative method and spectral method to establish an efficient scheme. Finally, numerical experiments with MATLAB program are reported.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:650530

DOI: 10.1155/2013/650530

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