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| HAL : hal-00662868, version 3 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (26-01-2012) | v2 (27-01-2012) | v3 (27-01-2012) |
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| Feel++: A Computational Framework for Galerkin Methods and Advanced Numerical Methods |
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| Christophe Prud'Homme 1, 2Vincent Chabannes 1 |
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| (24/01/2012) |
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| This paper presents an overview of a unified framework for finite element and spectral element methods in 1D, 2D and 3D in \cpp called \Feel. The article is divided in two parts. The first part provides a digression through the design of the library as well as the main abstractions handled by it, namely, meshes, function spaces, operators, linear and bilinear forms and an embedded variational language. In every case, the closeness between the language developed in \Feel and the equivalent mathematical objects is highlighted. In the second part, examples using the mortar, Schwartz (non)overlapping, three fields and two ficticious domain-like methods (the Fat Boundary Method and the Penalty Method) are presented and numerically solved in the scope of the library. |
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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 : | Institut de Recherche Mathématique Avancée (IRMA) |
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CNRS : UMR7501 – Université de Strasbourg |
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| 3 : | Laboratoire Interdisciplinaire de Physique (LIPhy) |
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CNRS : UMR5588 – Université Joseph Fourier - Grenoble I |
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| 4 : | Laboratoire de Spectrométrie Physique (LSP) |
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CNRS : UMR5588 – Université Joseph Fourier - Grenoble I |
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| 5 : | Center for Mathematics (CMUC) |
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University of Coimbra |
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| EDP |
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| Domaine | : | Informatique/Logiciel mathématique Informatique/Modélisation et simulation Mathématiques/Equations aux dérivées partielles |
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| Galerkin methods – finite element – domain decomposition – ficticious domain – domain specific embedded language – programming paradigms |
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| hal-00662868, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00662868 | |
| oai:hal.archives-ouvertes.fr:hal-00662868 | |
| Contributeur : Christophe Prud'Homme | |
| Soumis le : Vendredi 27 Janvier 2012, 14:57:21 | |
| Dernière modification le : Jeudi 2 Février 2012, 09:29:32 | |
