Spectral Method with the Tensor-Product Nodal Basis for the Steklov Eigenvalue Problem. (12th October 2013)

• Record Type: Journal Article
• Authors: Zhang, Xuqing; Yang, Yidu; Bi, Hai
• Other Names: Dong Daoyi Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-10-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/650530
• Languages: English
• ISSNs: 1024-123X

Abstract

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.