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Clément Cancès

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Discrete Gagliardo-Nirenberg inequality and application to the finite volume approximation of a convection-diffusion equation with a Joule effect term

Caterina Calgaro , Clément Cancès , Emmanuel Creusé
IMA Journal of Numerical Analysis, In press, ⟨10.1093/imanum/drad063⟩
Article dans une revue hal-03881410v2
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On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations

Clément Cancès , Juliette Venel
Comptes Rendus. Mathématique, 2023, 361, pp.535--558. ⟨10.5802/crmath.421⟩
Article dans une revue hal-03693887v3
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Construction of a two-phase flow with singular energy by gradient flow methods

Clément Cancès , Daniel Matthes
Journal of Differential Equations, 2023, 344, pp.439-470. ⟨10.1016/j.jde.2022.11.010⟩
Article dans une revue hal-02510535v2
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Finite Volumes for the Stefan-Maxwell Cross-Diffusion System

Clément Cancès , Virginie Ehrlacher , Laurent Monasse
IMA Journal of Numerical Analysis, inPress, ⟨10.1093/imanum/drad032⟩
Article dans une revue hal-02902672v2
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Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion

Clément Cancès , Claire Chainais-Hillairet , Benoît Merlet , Federica Raimondi , Juliette Venel
Zeitschrift für Angewandte Mathematik und Physik, 2023, 74 (3), pp.96. ⟨10.1007/s00033-023-01970-6⟩
Article dans une revue hal-03549457v2
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A convergent finite volume scheme for dissipation driven models with volume filling constraint

Clément Cancès , Antoine Zurek
Numerische Mathematik, 2022, 151, pp.279--328. ⟨10.1007/s00211-022-01270-7⟩
Article dans une revue hal-03166069v2
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On several numerical strategies to solve Richards' equation in heterogeneous media with Finite Volumes

Sabrina Bassetto , Clément Cancès , Guillaume Enchéry , Quang Huy Tran
Computational Geosciences, 2022, 26, pp.1297-1322. ⟨10.1007/s10596-022-10150-w⟩
Article dans une revue hal-03259026v1
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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⟩
Article dans une revue hal-02561981v3
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A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model

Clément Cancès , Claire Chainais-Hillairet , Jürgen Fuhrmann , Benoît Gaudeul
IMA Journal of Numerical Analysis, 2021, 41 (1), pp.271-314. ⟨10.1093/imanum/draa002⟩
Article dans une revue hal-02194604v3
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A gravity current model with capillary trapping for oil migration in multilayer geological basins

Clément Cancès , David Maltese
SIAM Journal on Applied Mathematics, 2021, 81 (2), pp.454-484. ⟨10.1137/19M1284233⟩
Article dans une revue hal-02272965v3
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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⟩
Article dans une revue hal-01894884v2
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Numerical scheme for a water flow-driven forward stratigraphic model

Clément Cancès , Didier Granjeon , Quang-Huy Tran , Sylvie Wolf , Nicolas Peton
Computational Geosciences, 2020, 24, pp.37-60. ⟨10.1007/s10596-019-09893-w⟩
Article dans une revue hal-01870347v2
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Large time behavior of nonlinear finite volume schemes for convection-diffusion equations

Clément Cancès , Claire Chainais-Hillairet , Maxime Herda , Stella Krell
SIAM Journal on Numerical Analysis, 2020, 58 (5), pp.2544-2571. ⟨10.1137/19M1299311⟩
Article dans une revue hal-02360155v2
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A convergent entropy diminishing finite volume scheme for a cross-diffusion system

Clément Cancès , Benoît Gaudeul
SIAM Journal on Numerical Analysis, 2020, 58 (5), pp. 2784-2710. ⟨10.1137/20M1316093⟩
Article dans une revue hal-02465431v2
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A variational finite volume scheme for Wasserstein gradient flows

Clément Cancès , Thomas Gallouët , Gabriele Todeschi
Numerische Mathematik, 2020, 146 (3), pp 437 - 480. ⟨10.1007/s00211-020-01153-9⟩
Article dans une revue hal-02189050v2
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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⟩
Article dans une revue hal-01700952v1
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Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport

Clément Cancès , Claire Chainais-Hillairet , Anita Gerstenmayer , Ansgar Jüngel
Numerical Methods for Partial Differential Equations, 2019, 35 (2), pp.545-575. ⟨10.1002/num.22313⟩
Article dans une revue hal-01695129v1
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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⟩
Article dans une revue hal-01665338v3
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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 : Mathematical Analysis, Computation and Applications, 2019, 21, pp.199-229. ⟨10.4171/IFB/421⟩
Article dans une revue hal-01752759v1
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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⟩
Article dans une revue hal-01372954v1
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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⟩
Article dans une revue hal-01953395v1
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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⟩
Article dans une revue hal-01529143v1
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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
Article dans une revue hal-01342386v1
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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⟩
Article dans une revue 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⟩
Article dans une revue hal-01142499v1
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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⟩
Article dans une revue hal-01345438v2
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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⟩
Article dans une revue hal-01119210v1
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Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations

Clément Cancès , Frédéric Coquel , Edwige Godlewski , Hélène Mathis , Nicolas Seguin
Communications in Mathematical Sciences, 2016, 14 (1), pp.1-30. ⟨10.4310/CMS.2016.v14.n1.a1⟩
Article dans une revue hal-00852101v1
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Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws

Clément Cancès , Hélène Mathis , Nicolas Seguin
SIAM Journal on Numerical Analysis, 2016, 54 (2), pp.1263-1287. ⟨10.1137/15M1029886⟩
Article dans une revue hal-00798287v3
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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⟩
Article dans une revue hal-00955091v1
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On interface transmission conditions for conservation laws with discontinuous flux of general shape

Boris Andreianov , Clément Cancès
Journal of Hyperbolic Differential Equations, 2015, 12 (2), pp.343-384. ⟨10.1142/S0219891615500101⟩
Article dans une revue hal-00940756v2
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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⟩
Article dans une revue hal-01122770v1
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Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation

Hélène Mathis , Clément Cancès , Edwige Godlewski , Nicolas Seguin
Journal of Scientific Computing, 2015, 63 (3), pp.820-861. ⟨10.1007/s10915-014-9915-0⟩
Article dans une revue hal-00782637v2
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Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium

Boris Andreianov , Konstantin Brenner , Clément Cancès
Journal of Applied Mathematics and Mechanics, 2014, 94 (7-8), pp.651-667
Article dans une revue hal-00744359v1
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A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rocks media

Boris Andreianov , Clément Cancès
Computational Geosciences, 2014, 18 (2), pp.211-226
Article dans une revue hal-00833522v1
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An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

Clément Cancès , Iuliu Sorin Pop , Martin Vohralík
Mathematics of Computation, 2014, 83 (285), pp.153-188. ⟨10.1090/S0025-5718-2013-02723-8⟩
Article dans une revue hal-00623209v2
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Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium

Boris Andreianov , Clément Cancès
Computational Geosciences, 2013, 17 (3), pp.551-572
Article dans une revue hal-00631584v2
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Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure

Konstantin Brenner , Clément Cancès , Danielle Hilhorst
Computational Geosciences, 2013
Article dans une revue hal-00675681v2
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OSAMOAL: optimized simulations by adapted models using asymptotic limits

Anne-Céline Boulanger , Clément Cancès , Hélène Mathis , Khaled Saleh , Nicolas Seguin
ESAIM: Proceedings and Surveys, 2012, 38, pp.183-201. ⟨10.1051/proc/201238010⟩
Article dans une revue hal-00733865v1
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Error estimate for Godunov approximation of locally constrained conservation laws

Clément Cancès , Nicolas Seguin
SIAM Journal on Numerical Analysis, 2012, 50 (6), pp.3036--3060. ⟨10.1137/110836912⟩
Article dans une revue hal-00599581v2
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The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

Boris Andreianov , Clément Cancès
Applied Mathematics Letters, 2012, 25, pp.1844--1848
Article dans une revue hal-00631586v2
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An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field

Clément Cancès , Michel Pierre
SIAM Journal on Mathematical Analysis, 2012, 44 (2), pp.966--992. ⟨10.1137/11082943X⟩
Article dans une revue hal-00518219v4
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On the time continuity of entropy solutions

Clément Cancès , Thierry Gallouët
Journal of Evolution Equations, 2011, 11 (1), pp.43-55
Article dans une revue hal-00349222v2
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Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II. Non-classical shocks to model oil-trapping

Clément Cancès
SIAM Journal on Mathematical Analysis, 2010, 42 (2), pp.972-995
Article dans une revue hal-00360295v7
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On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types

Clément Cancès
Networks and Heterogeneous Media, 2010
Article dans une revue hal-01713559v1
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Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I. Convergence to the optimal entropy solution.

Clément Cancès
SIAM Journal on Mathematical Analysis, 2010, 42 (2), pp.946-971
Article dans une revue hal-00360297v4
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Two-phase flows involving capillary barriers in heterogeneous porous media

Clément Cancès , Thierry Gallouët , Alessio Porretta
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2009, 11 (2), pp. 239-258. ⟨10.4171/IFB/210⟩
Article dans une revue hal-00464334v1
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LIS1-Related Isolated Lissencephaly

Yoann Saillour , Nathalie Carion , Chloe Quelin , Pierre-Louis Leger , Nathalie Boddaert
Archives of Neurology -Chigago-, 2009, 66 (8), pp.1007-1015. ⟨10.1001/archneurol.2009.149⟩
Article dans une revue hal-01104698v1
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Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities

Clément Cancès
ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 43 (5), pp.973 - 1001
Article dans une revue hal-00360292v2
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Nonlinear Parabolic Equations with Spatial Discontinuities

Clément Cancès
Nonlinear Differential Equations and Applications, 2008, 15, pp.427-456
Article dans une revue hal-01713524v1
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Finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion

Clément Cancès , Maxime Herda , Annamaria Massimini
Finite Volumes for Complex Applications X, Oct 2023, Strasbourg, France. pp.57--73, ⟨10.1007/978-3-031-40864-9_4⟩
Communication dans un congrès hal-04022357v2
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Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface

Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher
Finite Volumes for Complex Applications X, Oct 2023, Strasbourg, France. pp.205-213, ⟨10.1007/978-3-031-40864-9_15⟩
Communication dans un congrès hal-04050166v4
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Energy stable discretization for two-phase porous media flows

Clément Cancès , Flore Nabet
Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02442233v2
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Robust Newton solver based on variable switch for a finite volume discretization of Richards equation

Sabrina Bassetto , Clément Cancès , Guillaume Enchéry , Quang Huy Tran
Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02464945v1
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On four numerical schemes for a unipolar degenerate drift-diffusion model

Clément Cancès , Claire Chainais-Hillairet , Jürgen Fuhrmann , Benoît Gaudeul
Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway
Communication dans un congrès hal-02461524v1
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Entropy diminishing finite volume approximation of a cross-diffusion system

Clément Cancès , Benoît Gaudeul
FVCA9 - International Conference on Finite Volumes for Complex Applications IX, 2020, Bergen, Norway
Communication dans un congrès hal-02418908v2

A degenerate Cahn‐Hilliard model as constrained Wasserstein gradient flow

Daniel Matthes , Clément Cancès , Flore Nabet
GAMM annual meeting, International Association for Applied Mathematics and Mechanics, 2019, Vienna, Austria. ⟨10.1002/pamm.201900158⟩
Communication dans un congrès hal-02377146v1
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Numerical scheme for a stratigraphic model with erosion constraint and nonlinear gravity flux

Clément Cancès , Didier Granjeon , Nicolas Peton , Quang Huy Tran , Sylvie Wolf
FVCA 8 - 2017 - International Conference on Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.327-335, ⟨10.1007/978-3-319-57394-6_35⟩
Communication dans un congrès hal-01639681v1
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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
Communication dans un congrès hal-01468795v1
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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
Communication dans un congrès hal-01468811v1

A nonlinear CVFE scheme for an anisotropic degenerate nonlinear Keller-Segel model

Clément Cancès , Moustafa Ibrahim , Mazen Saad
18th European Conference on Mathematics for Industry, 2014, Taormina, Italy. pp.1037--1046, ⟨10.1007/978-3-319-23413-7_145⟩
Communication dans un congrès hal-02499587v1
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A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field *

Clément Cancès , K Brenner , D. Hilhorst
FVCA 6 - International Symposium Finite Volumes for Complex Applications , 2011, Prague, Czech Republic
Communication dans un congrès hal-01713549v1
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Two-phase Flows Involving Discontinuities on the Capillary Pressure

Clément Cancès
FVCA5 - 5th International Symposium on Finite Volumes for Complex Applications , Jun 2008, Aussois, France
Communication dans un congrès hal-01713566v1

Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Clément Cancès , Pascal Omnes
C. Cancès and P. Omnes. Springer, 200, 2017, Springer Proceedings in Mathematics & Statistics, 978-3-319-57393-9
Ouvrages hal-01639713v1

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Clément Cancès , Pascal Omnes
C. Cancès and P. Omnes. Springer International Publishing, 199, 2017, Springer Proceedings in Mathematics & Statistics, FVCA 8, Lille, France, June 2017
Ouvrages hal-01639725v1
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Error estimates for the gradient discretisation of degenerate parabolic equation of porous medium type

Clément Cancès , Jérôme Droniou , Cindy Guichard , Gianmarco Manzini , Manuela Bastidas Olivares
Daniele A. Di Pietro; Roland Masson; Luca Formaggia. Polyhedral methods in geosciences, 27, Springer; Springer International Publishing, pp.37-72, 2021, SEMA-SIMAI, ⟨10.1007/978-3-030-69363-3_2⟩
Chapitre d'ouvrage hal-02540067v1