On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types. - Clément Cancès (Networks Heterog. Media, 2010)

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 J. Math. Anal., 2010)

Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. II. Nonclassical Shocks to Model Oil-Trapping. - Clément Cancès (SIAM J. Math. Anal., 2010)

The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. - Boris P. Andreianov; Clément Cancès (Appl. Math. Lett., 2012)

An Existence Result for Multidimensional Immiscible Two-Phase Flows with Discontinuous Capillary Pressure Field. - Clément Cancès; Michel Pierre (SIAM J. Math. Anal., 2012)

Error Estimate for Godunov Approximation of Locally Constrained Conservation Laws. - Clément Cancès; Nicolas Seguin (SIAM J. Numer. Anal., 2012)

Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations. - Clément Cancès; Mathieu Cathala; Christophe Le Potier (Numerische Mathematik, 2013)

An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. - Clément Cancès; Iuliu Sorin Pop; Martin Vohralík (Math. Comput., 2014)

Dynamic Model Adaptation for Multiscale Simulation of Hyperbolic Systems with Relaxation. - Hélène Mathis; Clément Cancès; Edwige Godlewski; Nicolas Seguin (J. Sci. Comput., 2015)

Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations. - Clément Cancès; Cindy Guichard (Math. Comput., 2016)

Error Estimate for Time-Explicit Finite Volume Approximation of Strong Solutions to Systems of Conservation Laws. - Clément Cancès; Hélène Mathis; Nicolas Seguin (SIAM J. Numer. Anal., 2016)

Numerical Analysis of a Robust Free Energy Diminishing Finite Volume Scheme for Parabolic Equations with Gradient Structure. - Clément Cancès; Cindy Guichard (Found. Comput. Math., 2017)

Improving Newton's Method Performance by Parametrization: The Case of the Richards Equation. - Konstantin Brenner; Clément Cancès (SIAM J. Numer. Anal., 2017)

Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations. - Clément Cancès; Claire Chainais-Hillairet; Stella Krell (Comput. Methods Appl. Math., 2018)

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 (CoRR, 2019)

Finite Volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model. - Clément Cancès; Flore Nabet (CoRR, 2020)

Finite volumes for the Stefan-Maxwell cross-diffusion system. - Clément Cancès; Virginie Ehrlacher; Laurent Monasse (CoRR, 2020)

A variational finite volume scheme for Wasserstein gradient flows. - Clément Cancès; Thomas O. Gallouët; Gabriele Todeschi (Numerische Mathematik, 2020)

Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations. - Clément Cancès; Claire Chainais-Hillairet; Maxime Herda; Stella Krell (SIAM J. Numer. Anal., 2020)

A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System. - Clément Cancès; Benoît Gaudeul (SIAM J. Numer. Anal., 2020)

Upstream mobility Finite Volumes for the Richards equation in heterogenous domains. - Sabrina Bassetto; Clément Cancès; Guillaume Enchéry; Quang-Huy Tran (CoRR, 2021)

Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. - Clément Cancès; Flore Nabet; Martin Vohralík (Math. Comput., 2021)

A Gravity Current Model with Capillary Trapping for Oil Migration in Multilayer Geological Basins. - Clément Cancès; David Maltese (SIAM J. Appl. Math., 2021)

On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations. - Clément Cancès; Juliette Venel (CoRR, 2022)

A convergent finite volume scheme for dissipation driven models with volume filling constraint. - Clément Cancès; Antoine Zurek (Numerische Mathematik, 2022)

Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface. - Clément Cancès; Jean Cauvin-Vila; Claire Chainais-Hillairet; Virginie Ehrlacher (CoRR, 2023)

Cross-diffusion systems coupled via a moving interface. - Clément Cancès; Jean Cauvin-Vila; Claire Chainais-Hillairet; Virginie Ehrlacher (CoRR, 2024)

Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach. - Clément Cancès; Léonard Monsaingeon; Andrea Natale (CoRR, 2024)

Convergence and long-time behavior of finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion. - Clément Cancès; Maxime Herda; Annamaria Massimini (CoRR, 2024)

Parametrization and Cartesian representation techniques for robust resolution of chemical equilibria. - Maxime Jonval; Ibtihel Ben Gharbia; Clément Cancès; Thibault Faney; Quang-Huy Tran (J. Comput. Phys., 2025)