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

作者：Han, Jiayu; Yang, Yidu^*

来源：Abstract and Applied Analysis, 2013, 2013: 262010.

DOI：10.1155/2013/262010

• NONSMOOTH FUNCTIONS
• INTERPOLATION

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 p-version, h-version, and hp-version methods from accuracy, degree of freedom, and stability and verify that spectral methods and spectral element methods are highly efficient computational methods.

• 出版日期2013
• 单位贵州师范大学