A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems
type: Item
instance of: scholarly article
title: A class of spectral element methods and its a priori/a posteriori error estimates for 2nd-order elliptic eigenvalue problems
zbMATH Open document ID: 1291.65332
DOI: 10.1155/2013/262010
author: Yidu Yang
author: Jiayu Han
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 6306572
Wikidata QID: Q58915712
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/262010
OpenAlex ID: W2121622548
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description: scientific article; zbMATH DE number 6306572