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A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems

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  • Jiayu Han
  • Yidu Yang

Abstract

This paper discusses spectral and spectral element methods with Legendre-Gauss-Lobatto nodal basis for general 2nd-order elliptic eigenvalue problems. The special work of this paper is as follows. (1) We prove a priori and a posteriori error estimates for spectral and spectral element methods. (2) We compare between spectral methods, spectral element methods, finite element methods and their derived -version, -version, and -version methods from accuracy, degree of freedom, and stability and verify that spectral methods and spectral element methods are highly efficient computational methods.

Suggested Citation

  • Jiayu Han & Yidu Yang, 2013. "A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, October.
    • Handle: RePEc:hin:jnlaaa:262010
    DOI: 10.1155/2013/262010
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