Space-time domain decomposition for two-phase flow between different rock types

Autor: Caroline Japhet, Elyes Ahmed, Michel Kern

Publikováno v: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩

This paper is dedicated to Professor Mary F. Wheeler on the occasion of her 80thbirthday.The authors warmly thank Cl ément Cancès and Robert Eymard for enlightening discussions that helped usto carry out the proof of Theorem 4.1.; International aud

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0a307353345b345d3a8b7acc42067fc
https://inria.hal.science/hal-02275690v3/file/nonlindiff.pdf

A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types

Autor: Sarah Ali Hassan, Martin Vohralík, Caroline Japhet, Elyes Ahmed, Michel Kern

Publikováno v: SMAI Journal of Computational Mathematics
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
SMAI Journal of Computational Mathematics, 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
The SMAI journal of computational mathematics

International audience We consider two-phase flow in a porous medium composed of two different rock types, so that the capillary pressure field is discontinuous at the interface between the rocks. This is a nonlinear and degenerate parabolic problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3174ab613798ed352a7da8e44f475d7c
https://hal.inria.fr/hal-01540956v3/file/HALpaper.pdf

Space–time domain decomposition for advection–diffusion problems in mixed formulations

Autor: Michel Kern, Caroline Japhet, Jean E. Roberts, Thi-Thao-Phuong Hoang

Publikováno v: Mathematics and Computers in Simulation
Mathematics and Computers in Simulation, 2017, MAMERN VI-2015: 6th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, 137, pp.24. ⟨10.1016/j.matcom.2016.11.002⟩
Mathematics and Computers in Simulation, Elsevier, 2016, MAMERN VI-2015: 6th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, 137, pp.24. ⟨10.1016/j.matcom.2016.11.002⟩

International audience; This paper is concerned with the numerical solution of porous-media flow and transport problems , i. e. heterogeneous, advection-diffusion problems. Its aim is to investigate numerical schemes for these problems in which diffe

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https://doi.org/10.1016/j.matcom.2016.11.002

An efficient way to assemble finite element matrices in vector languages

Autor: Gilles Scarella, François Cuvelier, Caroline Japhet

Publikováno v: BIT Numerical Mathematics. 56:833-864

Efficient Matlab codes in 2D and 3D have been proposed recently to assemble finite element matrices. In this paper we present simple, compact and efficient vectorized algorithms, which are variants of these codes, in arbitrary dimension, without the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::591810760772a9e1e6aed530d7c02abb
https://doi.org/10.1007/s10543-015-0587-4

Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case

Autor: Caroline Japhet, Frédéric Nataf, Yvon Maday

Publikováno v: SIAM Journal on Numerical Analysis. 52:1497-1524

In [M. J. Gander et al., in Domain Decomposition Methods in Science and Engineering, Lect. Notes Comput. Sci. Eng. 40, Springer-Verlag, Berlin, 2005, pp. 259--266; C. Japhet, Y. Maday, and F. Nataf, Math. Models Methods Appl. Sci., 23 (2013), pp. 225

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::51289eabd8776240f95b080a56763e7c
https://doi.org/10.1137/130912621