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| HAL : hal-00609212, version 1 |
| Fiche détaillée |  Récupérer au format |
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| A successive constraint method with minimal offline constraints for lower bounds of parametric coercivity constant |
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| Sylvain Vallaghé 1Michel Fouquembergh 2 |
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| Feel++ Collaboration(s) |
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| (30/06/2011) |
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| A posteriori error estimates are a key ingredient for the certified reduced basis method. Sharp error bounds rely on the construction of lower bounds for the coercivity or inf-sup stability constant. The Successive Constraint Method (SCM) has been previously proposed to compute such lower bounds, using an efficient Offline-Online strategy. We present in this article some modifications to the SCM to get rid of user-dependent parameters, which also improve convergence and reduce the computational cost of the method. |
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| 1 : | Laboratoire Jean Kuntzmann (LJK) |
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CNRS : UMR5224 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| 2 : | EADS Innovation Works [Suresnes] (EADS IW) |
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EADS |
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| 3 : | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université de Strasbourg |
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| Domaine | : | Mathématiques/Analyse numérique Sciences de l'ingénieur/Mécanique/Thermique Physique/Mécanique/Thermique Mathématiques/Equations aux dérivées partielles Mathématiques/Optimisation et contrôle |
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| certified reduced basis – successive constraints methods – linear programming – generalized eigenvalue problems |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00609212, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00609212 | |
| oai:hal.archives-ouvertes.fr:hal-00609212 | |
| Contributeur : Christophe Prud'Homme | |
| Soumis le : Lundi 18 Juillet 2011, 22:16:21 | |
| Dernière modification le : Mercredi 12 Décembre 2012, 08:18:26 | |
