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ORCIDClaire Chainais-Hillairet
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Journal Articles
- 2023
[j13]Claire Chainais-Hillairet, Robert Eymard
, Jürgen Fuhrmann:
A monotone numerical flux for quasilinear convection diffusion equation. Math. Comput. 93(345): 203-231 (2023)- 2022
- [j12]Claire Chainais-Hillairet, Maxime Herda, Simon Lemaire, Julien Moatti:
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. Numerische Mathematik 151(4): 963-1016 (2022) - 2020
- [j11]Clément Cancès, Claire Chainais-Hillairet, Maxime Herda, Stella Krell:
Large Time Behavior of Nonlinear Finite Volume Schemes for Convection-Diffusion Equations. SIAM J. Numer. Anal. 58(5): 2544-2571 (2020) - 2019
- [j10]Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet:
Uniform-in-time bounds for approximate solutions of the drift-diffusion system. Numerische Mathematik 141(4): 881-916 (2019) - 2018
- [j9]Clément Cancès, Claire Chainais-Hillairet, Stella Krell:
Numerical Analysis of a Nonlinear Free-Energy Diminishing Discrete Duality Finite Volume Scheme for Convection Diffusion Equations. Comput. Methods Appl. Math. 18(3): 407-432 (2018) - 2017
- [j8]Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet:
Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. J. Num. Math. 25(3): 147-168 (2017) - 2014
- [j7]Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie Hélène Vignal:
Study of a Finite Volume Scheme for the Drift-Diffusion System. Asymptotic Behavior in the Quasi-Neutral Limit. SIAM J. Numer. Anal. 52(4): 1666-1691 (2014) - 2013
- [j6]Claire Chainais-Hillairet, Stella Krell, Alexandre Mouton:
Study of Discrete Duality Finite Volume Schemes for the Peaceman Model. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j5]Claire Chainais-Hillairet, Ingrid Lacroix-Violet:
The existence of solutions to a corrosion model. Appl. Math. Lett. 25(11): 1784-1789 (2012) - [j4]Christian Bataillon, F. Bouchon, Claire Chainais-Hillairet, Jürgen Fuhrmann, E. Hoarau, Rachid Touzani:
Numerical methods for the simulation of a corrosion model with moving oxide layer. J. Comput. Phys. 231(18): 6213-6231 (2012) - 2008
- [j3]Claire Chainais-Hillairet, Christian Bataillon:
Mathematical and numerical study of a corrosion model. Numerische Mathematik 110(1): 1-25 (2008) - 2007
- [j2]Claire Chainais-Hillairet, Jérôme Droniou:
Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. SIAM J. Numer. Anal. 45(5): 2228-2258 (2007) - 2001
- [j1]Claire Chainais-Hillairet, Sylvie Champier:
Finite volume schemes for nonhomogeneous scalar conservation laws: error estimate. Numerische Mathematik 88(4): 607-639 (2001)
Informal and Other Publications
- 2024
- [i8]Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet, Virginie Ehrlacher:
Cross-diffusion systems coupled via a moving interface. CoRR abs/2407.15457 (2024) - 2023
- [i7]Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet, Virginie Ehrlacher:
Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface. CoRR abs/2303.15817 (2023) - [i6]Matthieu Alfaro, Claire Chainais-Hillairet:
Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme. CoRR abs/2309.16242 (2023) - 2022
- [i5]Dilara Abdel, Claire Chainais-Hillairet, Patricio Farrell, Maxime Herda:
Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells. CoRR abs/2209.07934 (2022) - 2021
- [i4]Claire Chainais-Hillairet, Maxime Herda, Simon Lemaire, Julien Moatti:
Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. CoRR abs/2107.09946 (2021) - 2019
- [i3]Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann, Benoît Gaudeul:
A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model. CoRR abs/1907.11126 (2019) - [i2]Clément Cancès, Claire Chainais-Hillairet, Maxime Herda, Stella Krell:
Large time behavior of nonlinear finite volume schemes for convection-diffusion equations. CoRR abs/1911.04962 (2019) - [i1]Claire Chainais-Hillairet, Maxime Herda:
L∞ bounds for numerical solutions of noncoercive convection-diffusion equations. CoRR abs/1912.05366 (2019)
Coauthor Index
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