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Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour
Multi angle
Authors : Chainais-Hillairet, Claire (Author of the conference)
CIRM (Publisher )
65M12 - Stability and convergence of numerical methods (IVP of PDE)
65M08 - Finite volume methods
CIRM (Publisher )
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Abstract :
The aim of the talk is to introduce a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift-diffusion equations. The scheme is built to preserve at the discrete level even on severely distorted meshes the energy / energy dissipation relation. This relation is of paramount importance to capture the long-time behavior of the problem in an accurate way. To enforce it, the linear convection diffusion equation is rewritten in a nonlinear form before being discretized. This is a joint work with Clément Cancès (Lille) and Stella Krell (Nice).
MSC Codes : 65M12 - Stability and convergence of numerical methods (IVP of PDE)
65M08 - Finite volume methods
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/05/2019 Conference Date : 01/05/2019 Subseries : Research talks arXiv category : Analysis of PDEs ; Numerical Analysis Mathematical Area(s) : PDE ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 00:42:08 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-05-01_Chainais.mp4 
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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.19529003Cite this video as: Chainais-Hillairet, Claire (2019). Nonlinear free energy diminishing schemes for convection-diffusion equations: convergence and long time behaviour. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19529003 URI : http://dx.doi.org/10.24350/CIRM.V.19529003 |
See Also
- [Multi angle] Polyhedral discretizations for industrial applications / Author of the conference Bonelle, Jérôme.
- [Multi angle] Combining cut element methods and hybridization / Author of the conference Burman, Erik.
- [Post-edited] Gradient discretisations : tools and applications / Author of the conference Eymard, Robert.
- [Multi angle] Virtual element approximation of magnetostatic / Author of the conference Marini, Donatella.
Bibliography
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