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A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann and Benoît Gaudeul IMA Journal of Numerical Analysis 41(1) 271 (2021) https://doi.org/10.1093/imanum/draa002
Upstream mobility finite volumes for the Richards equation in heterogenous domains
Sabrina Bassetto, Clément Cancès, Guillaume Enchéry and Quang-Huy Tran ESAIM: Mathematical Modelling and Numerical Analysis 55(5) 2101 (2021) https://doi.org/10.1051/m2an/2021047
Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data
Energy stable numerical methods for porous media flow type problems
Clément Cancès, A. Anciaux-Sedrakian and Q. H. Tran Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 73 78 (2018) https://doi.org/10.2516/ogst/2018067
A nonlinear time compactness result and applications to discretization of degenerate parabolic–elliptic PDEs