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| HAL : hal-00277186, version 1 |
| arXiv : 0805.0550 |
| Fiche détaillée |  Récupérer au format |
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| Local time steps for a finite volume scheme |
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| Isabelle Faille 1Frédéric Nataf 2 |
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| (05/05/2008) |
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| We present a strategy for solving time-dependent problems on grids with local refinements in time using different time steps in different regions of space. We discuss and analyze two conservative approximations based on finite volume with piecewise constant projections and domain decomposition techniques. Next we present an iterative method for solving the composite-grid system that reduces to solution of standard problems with standard time stepping on the coarse and fine grids. At every step of the algorithm, conservativity is ensured. Finally, numerical results illustrate the accuracy of the proposed methods. |
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| 1 : | IFP Energies Nouvelles (IFPEN) |
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IFP Energies Nouvelles |
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| 2 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie |
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| 3 : | Laboratoire de tectonique (LT) |
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CNRS : UMR7072 – INSU – Université Paris VI - Pierre et Marie Curie – Université de Cergy Pontoise |
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| Domaine | : | Mathématiques/Analyse numérique |
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| local time step – finite volume – domain decomposition |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00277186, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00277186 | |
| oai:hal.archives-ouvertes.fr:hal-00277186 | |
| Contributeur : Frédéric Nataf | |
| Soumis le : Lundi 5 Mai 2008, 16:23:09 | |
| Dernière modification le : Lundi 5 Mai 2008, 17:06:10 | |
