Claire Chainais-Hillairet
Professeure des universités
CNU : SECTION 26 - MATHEMATIQUES APPLIQUEES ET APPLICATIONS DES MATHEMATIQUES
Laboratoire / équipe
Publications
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"citationRef_s":"<i>Mathematics of Computation</i>, 2024, 93 (345), pp.203-231. <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/mcom/3870\">⟨10.1090/mcom/3870⟩</a>",
"citationFull_s":"Claire Chainais-Hillairet, Robert Eymard, Jürgen Fuhrmann. A monotone numerical flux for quasilinear convection diffusion equation. <i>Mathematics of Computation</i>, 2024, 93 (345), pp.203-231. <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/mcom/3870\">⟨10.1090/mcom/3870⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03791166v1\">⟨hal-03791166⟩</a>",
"title_s":["A monotone numerical flux for quasilinear convection diffusion equation"],
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"citationRef_s":"<i>Finite Volumes for Complex Applications X</i>, Oct 2023, Strasbourg, France. pp.205-213, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-031-40864-9_15\">⟨10.1007/978-3-031-40864-9_15⟩</a>",
"citationFull_s":"Clément Cancès, Jean Cauvin-Vila, Claire Chainais-Hillairet, Virginie Ehrlacher. Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface. <i>Finite Volumes for Complex Applications X</i>, Oct 2023, Strasbourg, France. pp.205-213, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-031-40864-9_15\">⟨10.1007/978-3-031-40864-9_15⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-04050166v4\">⟨hal-04050166v4⟩</a>",
"title_s":["Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface","Approximation volumes finis structure-compatible de systèmes de diffusion croisée couplés par une interface libre"],
"authFullName_s":["Clément Cancès","Jean Cauvin-Vila","Claire Chainais-Hillairet","Virginie Ehrlacher"],
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"citationFull_s":"Dilara Abdel, Claire Chainais-Hillairet, Patricio Farrell, Maxime Herda. Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells. <i>IMA Journal of Numerical Analysis</i>, In press, <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/drad034\">⟨10.1093/imanum/drad034⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03779230v2\">⟨hal-03779230v2⟩</a>",
"title_s":["Numerical analysis of a finite volume scheme for charge transport in perovskite solar cells"],
"authFullName_s":["Dilara Abdel","Claire Chainais-Hillairet","Patricio Farrell","Maxime Herda"],
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"citationRef_s":"<i>Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées</i>, 2023, 74 (3), pp.96. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00033-023-01970-6\">⟨10.1007/s00033-023-01970-6⟩</a>",
"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Benoît Merlet, Federica Raimondi, Juliette Venel. Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion. <i>Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées</i>, 2023, 74 (3), pp.96. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00033-023-01970-6\">⟨10.1007/s00033-023-01970-6⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03549457v2\">⟨hal-03549457v2⟩</a>",
"title_s":["Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion"],
"authFullName_s":["Clément Cancès","Claire Chainais-Hillairet","Benoît Merlet","Federica Raimondi","Juliette Venel"],
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"citationRef_s":"<i>Numerische Mathematik</i>, 2022, 151 (4), pp.963-1016. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00211-022-01289-w\">⟨10.1007/s00211-022-01289-w⟩</a>",
"citationFull_s":"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. <i>Numerische Mathematik</i>, 2022, 151 (4), pp.963-1016. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00211-022-01289-w\">⟨10.1007/s00211-022-01289-w⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03281500v2\">⟨hal-03281500v2⟩</a>",
"title_s":["Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches"],
"authFullName_s":["Claire Chainais-Hillairet","Maxime Herda","Simon Lemaire","Julien Moatti"],
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"citationRef_s":"<i>Applied Numerical Mathematics: an IMACS journal</i>, 2021, 168, pp.143-169. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.apnum.2021.05.030\">⟨10.1016/j.apnum.2021.05.030⟩</a>",
"citationFull_s":"Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Hélène Mathis. Analysis of numerical schemes for semiconductors energy-transport models. <i>Applied Numerical Mathematics: an IMACS journal</i>, 2021, 168, pp.143-169. <a target=\"_blank\" href=\"https://dx.doi.org/10.1016/j.apnum.2021.05.030\">⟨10.1016/j.apnum.2021.05.030⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02940224v2\">⟨hal-02940224v2⟩</a>",
"title_s":["Analysis of numerical schemes for semiconductors energy-transport models"],
"authFullName_s":["Marianne Bessemoulin-Chatard","Claire Chainais-Hillairet","Hélène Mathis"],
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"citationFull_s":"Maxime Breden, Claire Chainais-Hillairet, Antoine Zurek. Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof. <i>ESAIM: Mathematical Modelling and Numerical Analysis</i>, 2021, 55 (4), pp.1669 - 1697. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/m2an/2021037\">⟨10.1051/m2an/2021037⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03082893v2\">⟨hal-03082893v2⟩</a>",
"title_s":["Existence of traveling wave solutions for the Diffusion Poisson Coupled Model: a computer-assisted proof"],
"authFullName_s":["Maxime Breden","Claire Chainais-Hillairet","Antoine Zurek"],
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"citationRef_s":"<i>IMA Journal of Numerical Analysis</i>, 2021, 41 (1), pp.271-314. <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/draa002\">⟨10.1093/imanum/draa002⟩</a>",
"citationFull_s":"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. <i>IMA Journal of Numerical Analysis</i>, 2021, 41 (1), pp.271-314. <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/draa002\">⟨10.1093/imanum/draa002⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02194604v3\">⟨hal-02194604v3⟩</a>",
"title_s":["A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model"],
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"citationRef_s":"<i>IMA Journal of Numerical Analysis</i>, 2020, 40 (4), pp.2473-2505. <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/drz037\">⟨10.1093/imanum/drz037⟩</a>",
"citationFull_s":"Claire Chainais-Hillairet, Maxime Herda. Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations. <i>IMA Journal of Numerical Analysis</i>, 2020, 40 (4), pp.2473-2505. <a target=\"_blank\" href=\"https://dx.doi.org/10.1093/imanum/drz037\">⟨10.1093/imanum/drz037⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01885015v1\">⟨hal-01885015⟩</a>",
"title_s":["Large-time behaviour of a family of finite volume schemes for boundary-driven convection-diffusion equations"],
"authFullName_s":["Claire Chainais-Hillairet","Maxime Herda"],
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"citationRef_s":"<i>SIAM Journal on Numerical Analysis</i>, 2020, 58 (5), pp.2544-2571. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/19M1299311\">⟨10.1137/19M1299311⟩</a>",
"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Maxime Herda, Stella Krell. Large time behavior of nonlinear finite volume schemes for convection-diffusion equations. <i>SIAM Journal on Numerical Analysis</i>, 2020, 58 (5), pp.2544-2571. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/19M1299311\">⟨10.1137/19M1299311⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02360155v2\">⟨hal-02360155v2⟩</a>",
"title_s":["Large time behavior of nonlinear finite volume schemes for convection-diffusion equations"],
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"citationRef_s":"<i>Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples.</i>, Jun 2020, Bergen, Norway. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-030-43651-3_12\">⟨10.1007/978-3-030-43651-3_12⟩</a>",
"citationFull_s":"Claire Chainais-Hillairet, Maxime Herda. $L^\\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations. <i>Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples.</i>, Jun 2020, Bergen, Norway. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-030-43651-3_12\">⟨10.1007/978-3-030-43651-3_12⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02404546v2\">⟨hal-02404546v2⟩</a>",
"title_s":["$L^\\infty$ bounds for numerical solutions of noncoercive convection-diffusion equations"],
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"citationFull_s":"Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Hélène Mathis. Numerical schemes for semiconductors energy- transport models. <i>Finite Volumes for Complex Applications IX</i>, Jun 2020, Bergen, Norway. pp. 75-90. <a target=\"_blank\" href=\"https://hal.science/hal-02563093v1\">⟨hal-02563093⟩</a>",
"title_s":["Numerical schemes for semiconductors energy- transport models"],
"authFullName_s":["Marianne Bessemoulin-Chatard","Claire Chainais-Hillairet","Hélène Mathis"],
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"citationRef_s":"<i>FVCA 2020 - 9th Conference on Finite Volumes for Complex Applications</i>, Jun 2020, Bergen, Norway",
"citationFull_s":"Claire Chainais-Hillairet, Stella Krell. Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations. <i>FVCA 2020 - 9th Conference on Finite Volumes for Complex Applications</i>, Jun 2020, Bergen, Norway. <a target=\"_blank\" href=\"https://hal.science/hal-02408212v1\">⟨hal-02408212⟩</a>",
"title_s":["Exponential decay to equilibrium of nonlinear DDFV schemes for convection-diffusion equations"],
"authFullName_s":["Claire Chainais-Hillairet","Stella Krell"],
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"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann, Benoît Gaudeul. On four numerical schemes for a unipolar degenerate drift-diffusion model. <i>Finite Volumes for Complex Applications IX</i>, Jun 2020, Bergen, Norway. <a target=\"_blank\" href=\"https://hal.science/hal-02461524v1\">⟨hal-02461524⟩</a>",
"title_s":["On four numerical schemes for a unipolar degenerate drift-diffusion model"],
"authFullName_s":["Clément Cancès","Claire Chainais-Hillairet","Jürgen Fuhrmann","Benoît Gaudeul"],
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"citationRef_s":"[Technical Report] EURAD. 2020",
"citationFull_s":"Etienne Ahusborde, Brahim Amaziane, Attila Baksay, Grażyna Bator, D. Becker, et al.. State Of the Art Report in the fields of numerical analysis and scientific computing. Final version as of 16/02/2020 deliverable D4.1 of the HORIZON 2020 project EURAD.. [Technical Report] EURAD. 2020. <a target=\"_blank\" href=\"https://hal.science/hal-03165686v1\">⟨hal-03165686⟩</a>",
"title_s":["State Of the Art Report in the fields of numerical analysis and scientific computing. Final version as of 16/02/2020 deliverable D4.1 of the HORIZON 2020 project EURAD."],
"authFullName_s":["Etienne Ahusborde","Brahim Amaziane","Attila Baksay","Grażyna Bator","D. Becker","A. Bednar","M. Beres","R. Blaheta","Z. Böhti","G. Bracke","L. Brazda","V. Brendler","Konstantin Brenner","J. Brezina","Clément Cancès","Claire Chainais-Hillairet","Florent Chave","Francis Claret","S. Domesova","Vaclava Havlova","M. Hokr","D. Horak","D. Jacques","F. Jankovsky","K. Kazymyrenko","O. Kolditz","T. Koudelka","T. Kovacs","T. Krejci","J. Kruis","E. Laloy","J. Landa","T. Lipping","D. Lukin","David Mašín","Roland Masson","J. C. L. Meeussen","M. Mollaali","A. Mon","L. Montenegro","Vanessa Montoya","Guillaume Pépin","J. Poonoosamy","N Prasianakis","Z. Saâdi","J. Samper","Gianvito Scaringi","Pierre Sochala","Christophe Tournassat","K. Yoshioka","Y. Yuankai"],
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"citationRef_s":"<i>Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications</i>, 2019, 21, pp.199-229. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/IFB/421\">⟨10.4171/IFB/421⟩</a>",
"citationFull_s":"Ahmed Ait Hammou Oulhaj, Clément Cancès, Claire Chainais-Hillairet, Philippe Laurençot. Large time behavior of a two phase extension of the porous medium equation. <i>Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications</i>, 2019, 21, pp.199-229. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/IFB/421\">⟨10.4171/IFB/421⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01752759v1\">⟨hal-01752759⟩</a>",
"title_s":["Large time behavior of a two phase extension of the porous medium equation"],
"authFullName_s":["Ahmed Ait Hammou Oulhaj","Clément Cancès","Claire Chainais-Hillairet","Philippe Laurençot"],
"halId_s":"hal-01752759",
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"citationRef_s":"<i>Numerical Methods for Partial Differential Equations</i>, 2019, 35 (2), pp.545-575. <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/num.22313\">⟨10.1002/num.22313⟩</a>",
"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Anita Gerstenmayer, Ansgar Jüngel. Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport. <i>Numerical Methods for Partial Differential Equations</i>, 2019, 35 (2), pp.545-575. <a target=\"_blank\" href=\"https://dx.doi.org/10.1002/num.22313\">⟨10.1002/num.22313⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01695129v1\">⟨hal-01695129⟩</a>",
"title_s":["Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport"],
"authFullName_s":["Clément Cancès","Claire Chainais-Hillairet","Anita Gerstenmayer","Ansgar Jüngel"],
"halId_s":"hal-01695129",
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"citationRef_s":"<i>Numerische Mathematik</i>, 2019, 141 (4), pp.881-916. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00211-018-01019-1\">⟨10.1007/s00211-018-01019-1⟩</a>",
"citationFull_s":"Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet. Uniform-in-time Bounds for approximate Solutions of the drift-diffusion System. <i>Numerische Mathematik</i>, 2019, 141 (4), pp.881-916. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00211-018-01019-1\">⟨10.1007/s00211-018-01019-1⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01659418v2\">⟨hal-01659418v2⟩</a>",
"title_s":["Uniform-in-time Bounds for approximate Solutions of the drift-diffusion System"],
"authFullName_s":["Marianne Bessemoulin-Chatard","Claire Chainais-Hillairet"],
"halId_s":"hal-01659418",
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"citationRef_s":"<i>ESAIM: Mathematical Modelling and Numerical Analysis</i>, 2018, 52 (4), pp.1532-1567. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/m2an/2017012\">⟨10.1051/m2an/2017012⟩</a>",
"citationFull_s":"Ahmed Ait Hammou Oulhaj, Clément Cancès, Claire Chainais-Hillairet. Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for \r\nRichards equation with anisotropy. <i>ESAIM: Mathematical Modelling and Numerical Analysis</i>, 2018, 52 (4), pp.1532-1567. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/m2an/2017012\">⟨10.1051/m2an/2017012⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01372954v1\">⟨hal-01372954⟩</a>",
"title_s":["Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for Richards equation with anisotropy"],
"authFullName_s":["Ahmed Ait Hammou Oulhaj","Clément Cancès","Claire Chainais-Hillairet"],
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"producedDateY_i":2018
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"citationRef_s":"<i>Computational Methods in Applied Mathematics</i>, 2018, 18 (3), pp.407-432. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/cmam-2017-0043\">⟨10.1515/cmam-2017-0043⟩</a>",
"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Stella Krell. Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations. <i>Computational Methods in Applied Mathematics</i>, 2018, 18 (3), pp.407-432. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/cmam-2017-0043\">⟨10.1515/cmam-2017-0043⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01529143v1\">⟨hal-01529143⟩</a>",
"title_s":["Numerical analysis of a nonlinear free-energy diminishing Discrete Duality Finite Volume scheme for convection diffusion equations"],
"authFullName_s":["Clément Cancès","Claire Chainais-Hillairet","Stella Krell"],
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"citationRef_s":"<i>Journal of Numerical Mathematics</i>, 2017, 25 (3), pp.147-168. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/jnma-2016-0007\">⟨10.1515/jnma-2016-0007⟩</a>",
"citationFull_s":"Marianne Chatard Bessemoulin-Chatard, Claire Chainais-Hillairet. Exponential decay of a finite volume scheme to the thermal equilibrium for drift–diffusion systems. <i>Journal of Numerical Mathematics</i>, 2017, 25 (3), pp.147-168. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/jnma-2016-0007\">⟨10.1515/jnma-2016-0007⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01250709v2\">⟨hal-01250709v2⟩</a>",
"title_s":["Exponential decay of a finite volume scheme to the thermal equilibrium for drift–diffusion systems"],
"authFullName_s":["Marianne Chatard Bessemoulin-Chatard","Claire Chainais-Hillairet"],
"halId_s":"hal-01250709",
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"citationRef_s":"<i>FVCA 8</i>, Jun 2017, Lille, France",
"citationFull_s":"Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Ansgar Jüngel. Uniform L ∞ estimates for approximate solutions of the bipolar drift-diffusion system. <i>FVCA 8</i>, Jun 2017, Lille, France. <a target=\"_blank\" href=\"https://hal.science/hal-01472643v1\">⟨hal-01472643⟩</a>",
"title_s":["Uniform L ∞ estimates for approximate solutions of the bipolar drift-diffusion system"],
"authFullName_s":["Marianne Bessemoulin-Chatard","Claire Chainais-Hillairet","Ansgar Jüngel"],
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"citationRef_s":"<i>FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII</i>, Jun 2017, Lille, France. pp.331-339, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-319-57397-7_26\">⟨10.1007/978-3-319-57397-7_26⟩</a>",
"citationFull_s":"Claire Chainais-Hillairet, Benoît Merlet, Alexis Vasseur. Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation. <i>FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII</i>, Jun 2017, Lille, France. pp.331-339, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-319-57397-7_26\">⟨10.1007/978-3-319-57397-7_26⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01596076v1\">⟨hal-01596076⟩</a>",
"title_s":["Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation"],
"authFullName_s":["Claire Chainais-Hillairet","Benoît Merlet","Alexis Vasseur"],
"halId_s":"hal-01596076",
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"producedDateY_i":2017
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