A compact cell-centered Galerkin method with subgrid stabilization

Daniele A. Di Pietro

doi:10.1016/j.crma.2010.11.017

Numerical Analysis

A compact cell-centered Galerkin method with subgrid stabilization

Presented by: the Editorial Board

Daniele A. Di Pietro ¹

¹ IFP Energies nouvelles, 1 & 4, avenue de bois Préau, 92852 Rueil-Malmaison cedex, France

Comptes Rendus. Mathématique, Volume 349 (2011) no. 1-2, pp. 93-98.

Abstract
Résumé

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.

Received: 2010-04-27
Accepted: 2010-11-16
Published online: 2010-12-03

DOI: 10.1016/j.crma.2010.11.017

Author's affiliations:

Daniele A. Di Pietro ¹

¹ IFP Energies nouvelles, 1 & 4, avenue de bois Préau, 92852 Rueil-Malmaison cedex, France

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     author = {Daniele A. Di Pietro},
     title = {A compact cell-centered {Galerkin} method with subgrid stabilization},
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     pages = {93--98},
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     year = {2011},
     doi = {10.1016/j.crma.2010.11.017},
     language = {en},
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Daniele A. Di Pietro. A compact cell-centered Galerkin method with subgrid stabilization. Comptes Rendus. Mathématique, Volume 349 (2011) no. 1-2, pp. 93-98. doi : 10.1016/j.crma.2010.11.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.11.017/

References
Cited by

[1] I. Aavatsmark; G.T. Eigestad; B.T. Mallison; J.M. Nordbotten A compact multipoint flux approximation method with improved robustness, Numer. Methods Partial Differential Equations, Volume 24 (2008) no. 5, pp. 1329-1360 | DOI

[2] L. Agélas; D.A. Di Pietro; J. Droniou The G method for heterogeneous anisotropic diffusion on general meshes, M2AN Math. Model. Numer. Anal., Volume 44 (2010) no. 4, pp. 597-625 | DOI

[3] L. Agélas; D.A. Di Pietro; R. Eymard; R. Masson An abstract analysis framework for nonconforming approximations of diffusion problems on general meshes, IJFV, Volume 7 (2010) no. 1, pp. 1-29

[4] D.A. Di Pietro Cell centered Galerkin methods, C. R. Math. Acad. Sci. Paris, Ser. I, Volume 348 (2010), pp. 31-34 | DOI

[5] D.A. Di Pietro; A. Ern; J.-L. Guermond Discontinuous Galerkin methods for anisotropic semi-definite diffusion with advection, SIAM J. Numer. Anal., Volume 46 (2008) no. 2, pp. 805-831 | DOI

[6] M.G. Edwards Unstructured control-volume distributed full tensor finite volume schemes with flow based grids, Comput. Geosci., Volume 6 (2002) no. 10, pp. 433-452 | DOI

[7] R. Eymard; Th. Gallouët; R. Herbin Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces, IMA J. Numer. Anal., Volume 30 (2010) no. 4 | DOI

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