Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure K Brenner, C Cances, D Hilhorst Computational Geosciences 17 (3), 573-597, 2013 | 84 | 2013 |
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure C Cancès, C Guichard Foundations of Computational Mathematics 17 (6), 1525-1584, 2017 | 81 | 2017 |
Monotone corrections for generic cell-centered finite volume approximations of anisotropic diffusion equations C Cancès, M Cathala, C Le Potier Numerische Mathematik 125, 387-417, 2013 | 77 | 2013 |
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities C Cancès M2AN 43, 973--1001, 2009 | 77 | 2009 |
Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations C Cancès, C Guichard Mathematics of Computation 85 (298), 549-580, 2016 | 75 | 2016 |
An existence result for multidimensional immiscible two-phase flows with discontinuous capillary pressure field C Cances, M Pierre SIAM J. Math. Anal. 44, 966--992, 2012 | 70 | 2012 |
Improving Newton's method performance by parametrization: the case of the Richards equation K Brenner, C Cancès SIAM Journal on Numerical Analysis 55 (4), 1760-1785, 2017 | 68 | 2017 |
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow C Cances, IS Pop, M Vohralik Math. Comp. 83 (285), 153 -- 188, 2014 | 64 | 2014 |
Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium B Andreianov, C Cances Computational Geosciences 17 (3), 551-572, 2013 | 64 | 2013 |
On the time continuity of entropy solutions C Cances, T Gallouët Journal of Evolution Equations 11 (1), 43-55, 2011 | 61 | 2011 |
A nonlinear time compactness result and applications to discretization of degenerate parabolic–elliptic PDEs B Andreianov, C Cancès, A Moussa Journal of Functional Analysis 273 (12), 3633-3670, 2017 | 60 | 2017 |
Two-phase flows involving capillary barriers in heterogeneous porous media C Cancès, T Gallouët, A Porretta Interfaces and Free Bound. 11, 239--258, 2009 | 57* | 2009 |
On interface transmission conditions for conservation laws with discontinuous flux of general shape B Andreianov, C Cancès Journal of hyperbolic differential equations 12 (02), 343-384, 2015 | 40 | 2015 |
Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations C Cancès, C Chainais-Hillairet, S Krell Computational Methods in Applied Mathematics 18 (3), 407-432, 2018 | 35 | 2018 |
A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model C Cancès, C Chainais-Hillairet, J Fuhrmann, B Gaudeul IMA Journal of Numerical Analysis 41 (1), 271-314, 2021 | 34 | 2021 |
A variational finite volume scheme for Wasserstein gradient flows C Cancès, TO Gallouët, G Todeschi Numerische Mathematik 146 (3), 437-480, 2020 | 33 | 2020 |
Error estimate for Godunov approximation of locally constrained conservation laws C Cances, N Seguin SIAM J. Numer. Anal. 50 (6), 3036--3060, 2012 | 32 | 2012 |
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II. Nonclassical shocks to model oil-trapping C Cancès SIAM journal on mathematical analysis 42 (2), 972-995, 2010 | 32 | 2010 |
Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I. Convergence to the optimal entropy solution C Cances SIAM J. Math. Anal. 42 (2), 946-971, 2010 | 31 | 2010 |
On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types C Cancès Networks and Heterogeneous Media, 2010 | 30 | 2010 |