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Adaptive inexact Newton methods and their application to multi-phase flows
Multi angle
Authors : Vohralík, Martin (Author of the conference)
CIRM (Publisher )
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
CIRM (Publisher )
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Abstract :
Keywords : two-phase flow; nonlinear algebraic system; a posteriori error estimate; finite volumes; Darcy model; linearization; algebraic solution; mesh refinement; stopping criteria
MSC Codes : 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
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 27/11/14 Conference Date : 20/11/14 Subseries : Research talks arXiv category : Numerical Analysis Mathematical Area(s) : Numerical Analysis & Scientific Computing ; PDE Format : MP4 (.mp4) - HD Video Time : 00:50:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-11-20_Vohralik.mp4 
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Information on the Event
Event Title : MoMaS Conference / Colloque MoMaSEvent Organizers : Allaire, Grégoire ; Cances, Clément ; Ern, Alexandre ; Herbin, Raphaèle ; Lelièvre, Tony Dates : 17/11/14 - 20/11/14 Event Year : 2014 Event URL : https://www.cirm-math.fr/Archives/?EX=in...
Citation Data
DOI : 10.24350/CIRM.V.18631603Cite 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 |
Bibliography
- 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
- 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
- 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
- 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
