A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems
Summary: 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.
scientific article; zbMATH DE number 6306572
scientific article