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Reduced basis methods: approximation of PDE's, interpolation and a posteriori estimate

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Authors : Maday, Yvon (Author of the conference)
CIRM (Publisher )

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Abstract :
MSC Codes :
35J25 - Boundary value problems for second-order elliptic equations
65D05 - Interpolation (numerical methods)
65N12 - Stability and convergence of numerical methods (BVP of PDE)
65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)

Additional resources :
http://smai.emath.fr/cemracs/cemracs16/images/Cours-Cemracs_YM.pdf
http://smai.emath.fr/cemracs/cemracs16/images/ECOLE_CEMRACS(suite)_YM.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/08/2016
    Conference Date : 21/07/2016
    Subseries : Research School
    arXiv category : Numerical Analysis ; Analysis of PDEs
    Mathematical Area(s) : Numerical Analysis & Scientific Computing ; PDE
    Format : MP4 (.mp4) - HD
    Video Time : 03:01:17
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2016-07-21_Maday.mp4

Information on the Event

Event Title : CEMRACS : Numerical challenges in parallel scientific computing - Summer school / CEMRACS : Défis numériques en calcul scientifique parallèle - Ecole d'été
Event Organizers : Grigori, Laura ; Japhet, Caroline ; Moireau, Philippe ; Parnaudeau, Philippe
Dates : 18/07/2016 - 26/08/2016
Event Year : 2016
Event URL : http://conferences.cirm-math.fr/1430.html

Citation Data

DOI : 10.24350/CIRM.V.19023903
Cite this video as: Maday, Yvon (2016). Reduced basis methods: approximation of PDE's, interpolation and a posteriori estimate. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19023903
URI : http://dx.doi.org/10.24350/CIRM.V.19023903

See Also

Bibliography

  • Maday, Y., Nguyen, N.C., Patera, A.T., & Pau, S.H. (2009). A general multipurpose interpolation procedure: The magic points. Communications on Pure and Applied Analysis 8(1), 383-404 - http://dx.doi.org/10.3934/cpaa.2009.8.383

  • Maday, Y., Patera, A.T., & Turinici, G. (2002). A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Journal of Scientific Computing, 17(1-4), 437-446 - http://dx.doi.org/10.1023/A:1015145924517



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