A posteriori error analysis for eigenvalue problems | Zendy

Carstensen Carsten | Zendy; Gedicke Joscha | Zendy; Livshits Ira | Zendy

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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)

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