| Téléchargement | - Voir le manuscrit accepté : A new stabilized finite element method for reaction-diffusion problems: The Source Stabilized Petrov-Galerkin Method (PDF, 1007 Kio)
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| DOI | Trouver le DOI : https://doi.org/10.1002/nme2324 |
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| Auteur | Rechercher : Ilinca, F.1; Rechercher : Hétu, J. -F.1 |
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| Affiliation | - Conseil national de recherches du Canada. Institut des matériaux industriels du CNRC
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| Format | Texte, Article |
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| Sujet | stabilized finite elements; source stabilization; Taylor series expansion; Petrov–Galerkin; oscillation-free solutions |
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| Résumé | This paper proposes a new stabilized finite element method to solve singular diffusion problems described by the modified Helmholtz operator. The Galerkin method is known to produce spurious oscillations for low diffusion and various alternatives were proposed to improve the accuracy of the solution. The mostly used methods are the well-known Galerkin least squares and Galerkin gradient least squares (GGLS). The GGLS method yields the exact nodal solution in the one-dimensional case and for a uniform mesh. However, the behavior of the method deteriorates slightly in the multi-dimensional case and for nonuniform meshes. In this work we propose a new stabilized finite element method that leads to improved accuracy for multi-dimensional problems. For the one-dimensional case, the new method leads to the same results as the GGLS method and hence provides exact nodal solutions to the problem on uniform meshes. The proposed method is a Galerkin discretization used to solve a modified equation that includes a term depending on the gradient of the original partial differential equation. |
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| Date de publication | 2008-02-25 |
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| Dans | |
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| Langue | anglais |
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| Publications évaluées par des pairs | Oui |
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| Numéro du CNRC | NRCC 50216 |
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| Numéro NPARC | 15993414 |
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| Exporter la notice | Exporter en format RIS |
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| Signaler une correction | Signaler une correction (s'ouvre dans un nouvel onglet) |
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| Identificateur de l’enregistrement | 7bc30fb6-336b-4fee-a5c0-35a2ae0d943d |
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| Enregistrement créé | 2010-11-02 |
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| Enregistrement modifié | 2020-04-15 |
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