POEMs - POlytopal Element Methods in Mathematics and Engineering

Collection POEMs - POlytopal Element Methods in Mathematics and Engineering

Organizer(s) Antonietti, Paola ; Beirão da Veiga, Lourenço ; Di Pietro, Daniele ; Droniou, Jérôme ; Krell, Stella

Date(s) 29/04/2019 - 03/05/2019

linked URL https://conferences.cirm-math.fr/1954.html

00:00:00 / 00:00:00

1 5

Chapters

Gradient discretisations : tools and applications

By Robert Eymard

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.

Information about the video

Date of recording 29/04/2019
Date of publication 28/05/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19528603
Cite this video Eymard, Robert (29/04/2019). Gradient discretisations : tools and applications. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19528603
URL https://dx.doi.org/10.24350/CIRM.V.19528603

Domain(s)

Numerical Analysis

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

MSC codes

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All the collection videos

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Gradient discretisations : tools and applications

By Robert Eymard

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published on May 28, 2019

Virtual element approximation of magnetostatic

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By Jérôme Bonelle

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