Convergence and optimal complexity of adaptive finite element eigenvalue computations
type: Item
instance of: scholarly article
title: Convergence and optimal complexity of adaptive finite element eigenvalue computations
zbMATH Open document ID: 1159.65090
author: Xiaoying Dai
author: Aihui Zhou
author: Jinchao Xu
published in: Numerische Mathematik
publication date: 2008-12-02T00:00:00Z
review text: The paper deals with an adaptive finite element method for elliptic eigenvalue problems. The authors establish a relationship between the elliptic eigenvalue approximation and the associated boundary value approximation in order to establish a posteriori error estimators for the finite element eigenvalue solutions. After the adaptive algorithm for the finite element eigenvalues is designed, the convergence and optimal complexity of the adaptive finite element eigenvalue computation are proved. Several numerical experiments, supporting the theory, are presented.
reviewed by: Adrian Carabineanu
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 5377097
zbMATH Keywords: elliptic boundary value problem
zbMATH Keywords: adaptive finite element method
zbMATH Keywords: elliptic eigenvalue problems
zbMATH Keywords: a posteriori error estimators
zbMATH Keywords: algorithm
zbMATH Keywords: convergence
zbMATH Keywords: optimal complexity
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: s00211-008-0169-3
OpenAlex ID: W2009941208
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DOI: 10.1007/S00211-008-0169-3
description: scientific article; zbMATH DE number 5377097