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A posteriori error analysis for eigenvalue problems
Author(s) -
Carstensen Carsten,
Gedicke Joscha,
Livshits Ira
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700559
Subject(s) - a priori and a posteriori , eigenvalues and eigenvectors , finite element method , projection (relational algebra) , mathematics , reliability (semiconductor) , enhanced data rates for gsm evolution , error analysis , algorithm , computer science , physics , thermodynamics , philosophy , power (physics) , epistemology , quantum mechanics , telecommunications
A new a posteriori error analysis for symmetric eigenvalue problems of the adaptive finite element method (AFEM) is presented. Based on an H 1 stable L 2 projection, we prove reliability of the edge contribution for P 1 finite element methods. Hence the AFEM proposed can ignore the volume contribution as well as oscillations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)