Výsledky vyhledávání - "Raphaele Herbin"

Elektronická kniha

Autor: Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin

This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary

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Results with a Locally Refined MAC-Like Scheme - Benchmark Session

Autor: Eric Chénier, Robert Eymard, Raphaele Herbin

Publikováno v: HAL
Finite Volumes for Complex Applications 8
Finite Volumes for Complex Applications 8, Jun 2017, Lille, France. pp.2182-139

International audience; We recall the extension of the Marker and Cell (MAC) scheme for locally refined grids which was introduced in [3] and present the results obtained on the lid driven cavity test.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::42235404090f8e61ee1316f15500b303
https://hal.archives-ouvertes.fr/hal-01546509

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An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method

Autor: Jérôme Droniou, Robert EYMARD, Thierry Gallouët, Cindy Guichard, Raphaele Herbin

Publikováno v: FVCA 2017-International Conference on Finite Volumes for Complex Applications VIII
FVCA 2017-International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France
HAL

International audience; We establish an error estimate for fully discrete time-space gradient schemes on a simple linear parabolic equation. This error estimate holds for all the schemes within the framework of the gradient discretisation method: con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::baa48a650c27f442e0dd6f8dfdb30aa1
https://hal.science/hal-01442921/document

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Elektronická kniha

Finite Volumes for Complex Applications VI Problems & Perspectives : FVCA 6, International Symposium, Prague, June 6-10, 2011

Autor: Jaroslav Fořt, Jiří Fürst, Jan Halama, Raphaèle Herbin, Florence Hubert

Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error a

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Akademický článek

An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations.

Autor: Thierry Gallou?t, Laura Gastaldo, Raphaele Herbin, Jean-Claude Latch?

Publikováno v: Modélisation Mathématique et Analyse Numérique; Mar2008, Vol. 42 Issue 2, p303-331, 29p

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Akademický článek

Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model.

Autor: Nicolas Bouillard, Robert Eymard, Raphaele Herbin, Philippe Montarnal

Publikováno v: Modélisation Mathématique et Analyse Numérique; Nov2007, Vol. 41 Issue 6, p975-1000, 26p

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Parallel implementation of a multigrid method on the experimental 1CAP supercomputer

Autor: Vijay Sonnad, Raphaele Herbin, Stéphane Gerbi

Publikováno v: Applied Mathematics and Computation. 27:281-312

A parallel multigrid method for the resolution of elliptic partial differential equations has been implemented on the loosely Coupled Array of Processors system at IBM Kingston, an experimental MIMD machine with communications occuring via shared mem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f4eb2ad940e7d7a29c0ff6b5bcbeb859
https://doi.org/10.1016/0096-3003(88)90029-x

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A nine point finite volume scheme for the simulation of diffusion in heterogeneous media

Autor: Léo Agélas, Robert EYMARD, Raphaele Herbin

Publikováno v: HAL
Comptes rendus de l'Académie des sciences. Série I, Mathématique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2009, 347 (11-12), pp.673-676
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347 (11-12), pp.673-676

International audience; We propose a cell-centred symmetric scheme which combines the advantages of MPFA (multi point ux approximation) schemes such as the L or the O scheme and of hybrid schemes: it may be used on general non conforming meshes, it y

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::090ca0bd0677abf2edc296bfa200feb7
https://hal.archives-ouvertes.fr/hal-00350139

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Analyse et développement de méthodes de raffinement hp en espace pour l'équation de transport des neutrons

Autor: Fournier, Damien

Publikováno v: Analyse numérique [math.NA]. Aix-Marseille Université, 2011. Français. ⟨NNT : 2011AIX10085⟩

The different neutronic parameters have to be calculated with a higher accuracy in order to design the 4th generation reactor cores. As memory storage and computation time are limited, adaptive methods are a solution to solve the neutron transport eq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3430::5c538963ccaace7ed94b57a5f2cdc3cd
https://theses.hal.science/tel-00769546/file/2011AIX10085.pdf

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