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ANR project: Code decision (reference) : ANR-13-JS01-0007
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A finite volume scheme for a seawater intrusion model with cross-diffusion

Ahmed Ait Hammou Oulhaj
FVCA8 2017 - International Conference on Finite Volumes for Complex Applications 8, Jun 2017, Lille, France. pp.421-429, ⟨10.1007/978-3-319-57397-7_35⟩
Conference papers hal-01541229v1
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Immiscible two-phase Darcy flow model accounting for vanishing and discontinuous capillary pressures: application to the flow in fractured porous media

Konstantin Brenner , Mayya Groza , Laurent Jeannin , Roland Masson , Jeanne Pellerin et al.
Computational Geosciences, 2017, ⟨10.1007/s10596-017-9675-7⟩
Journal articles hal-01338512v3
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The gradient flow structure for incompressible immiscible two-phase flows in porous media

Clément Cancès , Thomas Gallouët , Léonard Monsaingeon
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2015, 353 (11), pp.985-989. ⟨10.1016/j.crma.2015.09.021⟩
Journal articles hal-01122770v1
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Conception et analyse de schémas non-linéaires pour la résolution de problèmes paraboliques : application aux écoulements en milieux poreux

Ahmed Ait Hammou Oulhaj
Mathématiques [math]. Université de Lille 1, Sciences et Technologies, 2017. Français. ⟨NNT : ⟩
Theses tel-01876349v2
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Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for Richards equation with anisotropy

Ahmed Ait Hammou Oulhaj , Clément Cancès , Claire Chainais-Hillairet
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (4), pp.1532-1567. ⟨10.1051/m2an/2017012⟩
Journal articles hal-01372954v1
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Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system

Clément Cancès , Moustafa Ibrahim , Mazen Saad
SMAI Journal of Computational Mathematics, 2017, 3, pp.1--28. ⟨10.5802/smai-jcm.18⟩
Journal articles hal-01119210v1
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A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow

Clément Cancès , Daniel Matthes , Flore Nabet
Archive for Rational Mechanics and Analysis, 2019, 233 (2), pp.837-866. ⟨10.1007/s00205-019-01369-6⟩
Journal articles hal-01665338v3
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Incompressible immiscible multiphase flows in porous media: a variational approach

Clément Cancès , Thomas Gallouët , Leonard Monsaingeon
Analysis & PDE, 2017, 10 (8), pp.1845-1876. ⟨10.2140/apde.2017.10.1845⟩
Journal articles hal-01345438v2
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Numerical analysis of a robust free energy diminishing Finite Volume scheme for parabolic equations with gradient structure

Clément Cancès , Cindy Guichard
Foundations of Computational Mathematics, 2017, 17 (6), pp.1525-1584. ⟨10.1007/s10208-016-9328-6⟩
Journal articles hal-01119735v4
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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

Boris Andreianov , Clément Cancès , Ayman Moussa
Journal of Functional Analysis, 2017, 273 (12), pp.3633-3670. ⟨10.1016/j.jfa.2017.08.010⟩
Journal articles hal-01142499v1
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Simulation of multiphase porous media flows with minimizing movement and finite volume schemes

Clément Cancès , Thomas Gallouët , Maxime Laborde , Léonard Monsaingeon
European Journal of Applied Mathematics, 2019, 30 (6), pp.1123-1152. ⟨10.1017/S0956792518000633⟩
Journal articles hal-01700952v1
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Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations

Clément Cancès , Cindy Guichard
Mathematics of Computation, 2015, 85 (298), pp.549-580. ⟨10.1090/mcom/2997⟩
Journal articles hal-00955091v1
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Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model

Clément Cancès , Flore Nabet
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (3), pp.969--1003. ⟨10.1051/m2an/2021002⟩
Journal articles hal-02561981v3
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Improving Newton's method performance by parametrization: the case of Richards equation

Konstantin Brenner , Clément Cancès
SIAM Journal on Numerical Analysis, 2017, 55 (4), pp.1760--1785
Journal articles hal-01342386v1
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Convergence of a positive nonlinear control volume finite element scheme for an anisotropic seawater intrusion model with sharp interfaces

Ahmed Ait Hammou Oulhaj , David Maltese
Numerical Methods for Partial Differential Equations, 2020, 36 (1), pp.133-153. ⟨10.1002/num.22422⟩
Journal articles hal-01906872v2
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Energy stable numerical methods for porous media flow type problems

Clément Cancès
Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2018, 73, pp.78. ⟨10.2516/ogst/2018067⟩
Journal articles hal-01953395v1
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Finite volume approximation of a degenerate immiscible two-phase flow model of {C}ahn-{H}illiard type

Clément Cancès , Flore Nabet
FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France. pp.431-438
Conference papers hal-01468795v1
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Analyse mathématique et numérique d'équations aux dérivées partielles issues de la mécanique des fluides : applications aux écoulements en milieux poreux

Clément Cancès
Equations aux dérivées partielles [math.AP]. Université Pierre et Marie Curie 2015
Habilitation à diriger des recherches tel-01239700v1
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A nonlinear Discrete Duality Finite Volume Scheme for convection-diffusion equations

Clément Cancès , Claire Chainais-Hillairet , Stella Krell
FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France. pp.439-447
Conference papers hal-01468811v1
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Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations

Clément Cancès , Claire Chainais-Hillairet , Stella Krell
Computational Methods in Applied Mathematics, 2018, 18 (3), pp.407-432. ⟨10.1515/cmam-2017-0043⟩
Journal articles hal-01529143v1
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Numerical analysis of a finite volume scheme for a seawater intrusion model with cross-diffusion in an unconfined aquifer

Ahmed Ait Hammou Oulhaj
Numerical Methods for Partial Differential Equations, 2018, ⟨10.1002/num.22234⟩
Journal articles hal-01432197v2
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Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations

Clément Cancès , Flore Nabet , Martin Vohralík
Mathematics of Computation, 2021, 90 (328), pp.517-563. ⟨10.1090/mcom/3577⟩
Journal articles hal-01894884v2
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Convergence of a Degenerate Microscopic Dynamics to the Porous Medium Equation

Oriane Blondel , Clément Cancès , Makiko Sasada , Marielle Simon
In press
Preprints, Working Papers, ... hal-01710628v3
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Large time behavior of a two phase extension of the porous medium equation

Ahmed Ait Hammou Oulhaj , Clément Cancès , Claire Chainais-Hillairet , Philippe Laurençot
Interfaces and Free Boundaries, 2019, 21, pp.199-229. ⟨10.4171/IFB/421⟩
Journal articles hal-01752759v1