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| HAL: hal-00392025, version 1 |
| DOI: 10.1007/s10915-010-9358-1 |
| Detailed view |  Export this paper |
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| Journal of Scientific Computing 45, 1-3 (2010) 90-117 |
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| Numerical analysis of nonlinear eigenvalue problems |
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| Eric Cancès 1, 2Rachida Chakir 3 |
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| (2010) |
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| We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems . We focus in particular on the Fourier spectral approximation (for periodic problems) and on the P1 and P2 finite-element discretizations. Our analysis extends to the case of nonlinear eigenproblems the classical results about the comparative speeds of convergence of the eigenvalues with respect to the eigenvectors in the H1- norm. We show that under some assumptions we recover a standard result for linear elliptic eigenvalue problems. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| 2: | MICMAC (INRIA Paris - Rocquencourt) |
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Ecole des Ponts ParisTech – INRIA |
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| 3: | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| Subject | : | Computer Science/Numerical Analysis |
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| hal-00392025, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00392025 | |
| oai:hal.archives-ouvertes.fr:hal-00392025 | |
| From: Christian David | |
| Submitted on: Friday, 5 June 2009 13:27:20 | |
| Updated on: Wednesday, 7 September 2011 15:14:57 | |
