Français
Gradient discretisations : tools and applications
Post-edited
Authors : Eymard, Robert (Author of the conference)
CIRM (Publisher )
47A58 - Operator approximation theory
65J05 - General theory
65Nxx - Partial differential equations, boundary value problems
CIRM (Publisher )
Abstract :
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.
MSC Codes : 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
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/05/2019 Conference Date : 29/04/2019 Subseries : Research talks arXiv category : Numerical Analysis Mathematical Area(s) : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 00:39:36 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-29_Eymard.mp4 
|
Information on the Event
Event Title : POEMs - POlytopal Element Methods in Mathematics and EngineeringEvent Organizers : Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella Dates : 29/04/2019 - 03/05/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1954.html
Citation Data
DOI : 10.24350/CIRM.V.19528603Cite this video as: 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 |
See Also
- [Multi angle] Polyhedral discretizations for industrial applications / Author of the conference Bonelle, Jérôme.
- [Multi angle] Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour / Author of the conference Chainais-Hillairet, Claire.
- [Multi angle] Combining cut element methods and hybridization / Author of the conference Burman, Erik.
- [Multi angle] Virtual element approximation of magnetostatic / Author of the conference Marini, Donatella.
Bibliography
- 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
