Finite volume schemes for nonhomogeneous scalar conservation laws: error estimate. - Claire Chainais-Hillairet; Sylvie Champier (Numerische Mathematik, 2001)

Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. - Claire Chainais-Hillairet; Jérôme Droniou (SIAM J. Numer. Anal., 2007)

Mathematical and numerical study of a corrosion model. - Claire Chainais-Hillairet; Christian Bataillon (Numerische Mathematik, 2008)

The existence of solutions to a corrosion model. - Claire Chainais-Hillairet; Ingrid Lacroix-Violet (Appl. Math. Lett., 2012)

Numerical methods for the simulation of a corrosion model with moving oxide layer. - Christian Bataillon; F. Bouchon; Claire Chainais-Hillairet; Jürgen Fuhrmann; E. Hoarau; Rachid Touzani (J. Comput. Phys., 2012)

Study of Discrete Duality Finite Volume Schemes for the Peaceman Model. - Claire Chainais-Hillairet; Stella Krell; Alexandre Mouton (SIAM J. Sci. Comput., 2013)

Study of a Finite Volume Scheme for the Drift-Diffusion System. Asymptotic Behavior in the Quasi-Neutral Limit. - Marianne Bessemoulin-Chatard; Claire Chainais-Hillairet; Marie Hélène Vignal (SIAM J. Numer. Anal., 2014)

Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. - Marianne Bessemoulin-Chatard; Claire Chainais-Hillairet (J. Num. Math., 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)

L∞ bounds for numerical solutions of noncoercive convection-diffusion equations. - Claire Chainais-Hillairet; Maxime Herda (CoRR, 2019)

Uniform-in-time bounds for approximate solutions of the drift-diffusion system. - Marianne Bessemoulin-Chatard; Claire Chainais-Hillairet (Numerische Mathematik, 2019)

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)

Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells. - Dilara Abdel; Claire Chainais-Hillairet; Patricio Farrell; Maxime Herda (CoRR, 2022)

Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. - Claire Chainais-Hillairet; Maxime Herda; Simon Lemaire; Julien Moatti (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)

Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme. - Matthieu Alfaro; Claire Chainais-Hillairet (CoRR, 2023)

A monotone numerical flux for quasilinear convection diffusion equation. - Claire Chainais-Hillairet; Robert Eymard; Jürgen Fuhrmann (Math. Comput., 2023)

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

Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models. - Dilara Abdel; Maxime Herda; Martin Ziegler; Claire Chainais-Hillairet; Benjamin Spetzler; Patricio Farrell (CoRR, 2024)