English
Gradient discretisations : tools and applications
Post-edited
Auteurs : Eymard, Robert (Auteur de la Conférence)
CIRM (Editeur )
47A58 - Operator approximation theory
65J05 - General theory
65Nxx - Partial differential equations, boundary value problems
CIRM (Editeur )
Résumé :
Some convergence properties for the approximation of second order elliptic problems with a variety of boundary conditions (homogeneous Dirichlet, homogeneous or non-homogeneous Neumann or Fourier boundary conditions), using a given discretisation method, can be obtained when this method is plugged into the Gradient Discretisation Method (GDM) framework.
Instead of defining one GDM framework for each of these boundary conditions, we show that these properties can be stated using the same abstract tools for all the above boundary conditions. Then these tools enable the application of the GDM to a larger class of elliptic problems.
Codes MSC : Instead of defining one GDM framework for each of these boundary conditions, we show that these properties can be stated using the same abstract tools for all the above boundary conditions. Then these tools enable the application of the GDM to a larger class of elliptic problems.
47A58 - Operator approximation theory
65J05 - General theory
65Nxx - Partial differential equations, boundary value problems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 28/05/2019 Date de captation : 29/04/2019 Sous collection : Research talks arXiv category : Numerical Analysis Domaine : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Durée : 00:39:36 Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-29_Eymard.mp4 
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Informations sur la Rencontre
Nom de la rencontre : POEMs - POlytopal Element Methods in Mathematics and EngineeringOrganisateurs de la rencontre : Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella Dates : 29/04/2019 - 03/05/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/1954.html
Données de citation
DOI : 10.24350/CIRM.V.19528603Citer cette vidéo: Eymard, Robert (2019). Gradient discretisations : tools and applications. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19528603 URI : http://dx.doi.org/10.24350/CIRM.V.19528603 |
Voir aussi
- [Multi angle] Polyhedral discretizations for industrial applications / Auteur de la Conférence Bonelle, Jérôme.
- [Multi angle] Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour / Auteur de la Conférence Chainais-Hillairet, Claire.
- [Multi angle] Combining cut element methods and hybridization / Auteur de la Conférence Burman, Erik.
- [Multi angle] Virtual element approximation of magnetostatic / Auteur de la Conférence Marini, Donatella.
Bibliographie
- Jérôme Droniou, Robert Eymard, Thierry Gallouët, Raphaèle Herbin. A unified analysis of elliptic problems with various boundary conditions and their approximation. 2019. - https://hal.archives-ouvertes.fr/hal-01823265
- Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaele Herbin. The gradient discretisation method. Springer International Publishing AG, 82, 2018, Mathématiques et Applications, M. Hoffmann et V. Perrier, 978-3-319-79042-8. - https://hal.archives-ouvertes.fr/hal-01382358
