A compact cell-centered Galerkin method with subgrid stabilization

In this work we propose a compact cell-centered Galerkin method with subgrid stabilization for anisotropic heterogeneous diffusion problems on general meshes. Both essential theoretical results and numerical validation are provided. On propose une méthode de Galerkine centrée aux mailles avec stenci...

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Bibliographic Details
Published inComptes rendus. Mathématique Vol. 349; no. 1; pp. 93 - 98
Main Author Di Pietro, Daniele A.
Format Journal Article
LanguageEnglish
Published Paris Elsevier SAS 01.01.2011
Elsevier
Académie des sciences (Paris)
Subjects
Calculus of variations and optimal control
Exact sciences and technology
General mathematics
General, history and biography
Mathematical analysis
Mathematics
Numerical Analysis
Sciences and techniques of general use
Galerkin-Petrov method
Validation
Center
Stabilization
Anisotropic scattering
Galerkin method
Mesh method
Cell
Heterogeneous anisotropic diffusion
Subgrid stabilization
Cell-centered Galerkin
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Summary:In this work we propose a compact cell-centered Galerkin method with subgrid stabilization for anisotropic heterogeneous diffusion problems on general meshes. Both essential theoretical results and numerical validation are provided. On propose une méthode de Galerkine centrée aux mailles avec stencil compact et stabilisation de sous-grille pour des problèmes de diffusion anisotrope et hétérogène. On présente à la fois les résultats théoriques essentiels et une validation numérique.
ISSN:1631-073X
1778-3569
1778-3569
DOI:10.1016/j.crma.2010.11.017