A posteriori error analysis for eigenvalue problems |
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Authors: | Carsten Carstensen Joscha Gedicke Ira Livshits |
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Institution: | 1. Department of Mathematics, Humboldt-Universität zu Berlin, MATHEON, DFG Research Center, Berlin, Germany;2. Department of Mathematical Sciences, Ball State University, Muncie, USA |
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Abstract: | A new a posteriori error analysis for symmetric eigenvalue problems of the adaptive finite element method (AFEM) is presented. Based on an H1 stable L2 projection, we prove reliability of the edge contribution for P1 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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