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H 1 Adaptive inexact Newton methods and their application to multi-phase flows

Auteurs : Vohralík, Martin (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Keywords : two-phase flow; nonlinear algebraic system; a posteriori error estimate; finite volumes; Darcy model; linearization; algebraic solution; mesh refinement; stopping criteria

    Codes MSC :
    49M15 - Newton-type methods
    65N15 - Error bounds (BVP of PDE)
    65N30 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
    76TXX - Two-phase and multiphase flows

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 27/11/14
      Date de captation : 20/11/14
      Collection : Research talks ; Partial Differential Equations
      Format : quicktime ; audio/x-aac
      Durée : 00:50:15
      Domaine : Numerical Analysis & Scientific Computing ; PDE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-11-20_Vohralik.mp4

    Informations sur la rencontre

    Nom de la rencontre : MoMaS Conference / Colloque MoMaS
    Organisateurs de la rencontre : Allaire, Grégoire ; Cances, Clément ; Ern, Alexandre ; Herbin, Raphaèle ; Lelièvre, Tony
    Dates : 17/11/14 - 20/11/14
    Année de la rencontre : 2014
    URL Congrès : https://www.cirm-math.fr/Archives/?EX=in...

    Citation Data

    DOI : 10.24350/CIRM.V.18631603
    Cite this video as: Vohralík, Martin (2014). Adaptive inexact Newton methods and their application to multi-phase flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18631603
    URI : http://dx.doi.org/10.24350/CIRM.V.18631603


    Bibliographie

    1. Cancès, C., Pop, I.S. & Vohralík, M. (2014). An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. Mathematics of Computation, 83(285), 153-188 - http://dx.doi.org/10.1090/S0025-5718-2013-02723-8

    2. Di Pietro, D.A., Flauraud, E., Vohralík, M. & Yousef, S. (2014). A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. Journal of Computational Physics, 276(1), 163-187 - http://dx.doi.org/10.1016/j.jcp.2014.06.061

    3. Ern, A. & Vohralík, M. (2013). Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. SIAM Journal on Scientific Computing, 35(4), A1761-A1791 - http://dx.doi.org/10.1137/120896918

    4. Vohralík, M. & Wheeler, M.F. (2013). A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Computational Geosciences, 17(5), 789-812 - http://dx.doi.org/10.1007/s10596-013-9356-0

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