Depuis 2012

  1. Puce C. Cancès, C. Chainais-Hillairet, S. Krell, Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. 2017. https://hal.archives-ouvertes.fr/hal-01529143v1

  2. Puce C. Chainais-Hillairet, B. Merlet, A. Zurek, Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation. 2017. https://hal.archives-ouvertes.fr/hal-01477543v1

  3. Puce C. Cancès, C. Chainais-Hillairet, S. Krell, A Nonlinear Discrete Duality Finite Volume Scheme for Convection-Diffusion Equations, pp. 439-447. Springer International Publishing, 2017. https://hal.archives-ouvertes.fr/hal-01468811v1

  4. Puce C. Chainais-Hillairet, B. Merlet, A. F. Vasseur, Positive Lower Bound for the Numerical Solution of a Convection-Diffusion Equation, pp.~331-339. Springer International Publishing, 2017.

  5. Puce C. Chainais-Hillairet, B. Merlet, A. Zurek, Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model, pp.285-292. Springer International Publishing, 2017.

  6. Puce M. Bessemoulin-Chatard, C. Chainais-Hillairet, A. Jüngel, Uniform $L^{\infty}$ Estimates for Approximate Solutions of the Bipolar Drift-Diffusion System, pp. 381-389. Cham: Springer International Publishing, 2017. https://hal.archives-ouvertes.fr/hal-01472643v1

  7. Puce A. Ait Hammou Oulhaj, C. Cancès,  C. Chainais-Hillairet : Numerical analysis of a nonlinear stable and positive control volume finite element scheme for Richards equation with anisotropy, M2AN Math. Model. Numer. 2017. https://hal.archives-ouvertes.fr/hal-01372954v1

  8. Puce M. Bessemoulin-Chatard, C. Chainais-Hillairet : Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems, Journal of Numerical Mathematics, 2016.

  9. Puce C. Chainais-Hillairet, T.O. Gallouët : Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation. Nonlinear Analysis: Real World Applications, vol. 31, pp. 38--56, 2016 .pdf.

  10. Puce C. Chainais-Hillairet, A. Jüngel, P. Shpartko : A finite volume scheme for a spinorial matrix drift-diffusion model for semiconductors. Num. Meth. for PDE, vol. 32, no. 3, pp. 819-846, 2016,.pdf.

  11. Puce C. Chainais-Hillairet, A. Jüngel, S. Schuchnigg : Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities. ESAIM: M2AN, vol. 50, pp. 135-162, 2016, .pdf.

  12. Puce C. Chainais-Hillairet, P.-L. Colin, I. Lacroix-Violet : Convergence of a finite volume scheme for a corrosion model. IJFV, vol. 12, 2015, .pdf

  13. Puce C. Chainais-Hillairet, I. Lacroix-Violet : On the existence of solutions for a drift-diffusion system arising in corrosion modelling. DCDS-Series B, vol. 20  no.1, pp. 77-92, 2015.

  14. Puce C. Chainais-Hillairet, S. Krell, A. Mouton : Convergence analysis of a DDFV scheme for a system describing miscible fluid flows in porous media. Num. Methods for PDE, 2014, .pdf.

  15. Puce M. Bessemoulin-Chatard, C. Chainais-Hillairet, M.-H. Vignal : Study of a finite volume scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit. SIAM J. Numer. Anal., 2014, .pdf.

  16. Puce M. Bessemoulin-Chatard, C. Chainais-Hillairet, F. Filbet : On discrete functional inequalities for some finite volume schemes, IMA Journal of Numerical Analysis, 2014, .pdf.

  17. Puce C. Chainais-Hillairet, S. Krell, A. Mouton : Study of discrete duality finite volume schemes for the Peaceman model. SIAM J. Sci. Comput., 2013, .pdf


De 2007 à 2012

  1. Puce C. Bataillon, F. Bouchon, C. Chainais-Hillairet, J. Fuhrmann, E. Hoarau, R. Touzani : Numerical methods for simulation of a corrosion model with moving oxide layer. Journal of Computational Physics, 2012, doi : 10.1016/j.jcp.2012.06.005,.pdf.

  2. Puce C. Chainais-Hillairet, I. Lacroix-Violet : The existence of solutions to a corrosion model. Applied mathematics letters, 2012, doi:10.1016/j.aml.2012.02.012.

  3. Puce C. Chainais-Hillairet, M.-H. Vignal : Asymptotic preserving schemes in the quasi-neutral limit for the drift-diffusion system. In FVCA6 proceedings, 2011, p. 205-213.

  4. Puce C. Chainais-Hillairet, A. Jüngel, M. Gisclon : A finite volume scheme for the multidimensional quantum drift-diffusion models for semiconductors. Num. Methods for PDE, Vol 27(6), 2011, p. 1483-1510. .pdf

  5. Puce C. Bataillon, F. Bouchon, C. Chainais-Hillairet, C. Desgranges, E. Hoarau, F. Martin, M. Tupin, J. Talandier : Corrosion modelling of iron based alloy in nuclear waste repository. Electrochimica Acta, Vol. 55(15), 2010, p. 4451-4467. .pdf

  6. Puce M. Mamaghani, G. Enchery, C. Chainais-Hillairet : Development of a refinement criterion for adaptive mesh refinement in steam-assisted gravity drainage simulation. Computational Geosciences, Vol. 15(1), 2010, p.17-34.

  7. Puce C. Chainais-Hillairet, J. Droniou : Finite volume schemes for non-coercive elliptic problems with Neumann boundary conditions. IMA Journal of Numerical Analysis, Vol. 31(1), 2011, p. 61-85. .pdf

  8. Puce C. Chainais-Hillairet : Discrete duality finite volume schemes for two dimensional drift-diffusion and energy-transport models. IJNMF, Vol. 59, 2009, p. 239-257. .pdf

  9. Puce C. Chainais-Hillairet, Y.-J. Peng, I. Violet : Numerical solutions of Euler-Poisson systems for potential flows. Applied Num. Math., Vol. 59, No 2, 2009, p. 301-315. .pdf

  10. Puce C. Chainais-Hillairet, C. Bataillon : Mathematical and numerical study of a corrosion model. Numer. Math., Vol. 110, 2008, p. 689-716. .pdf

  11. Puce C. Chainais-Hillairet, J. 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., Vol. 45, No 5, 2007, p. 2228-2258. .pdf

  12. Puce C. Chainais-Hillairet, F. Filbet : Asymptotic behavior of a finite volume scheme for the transient drift-diffusion model. IMA Journal of Numerical Analysis, Vol. 27, 2007, p. 689-716. .pdf

De 1999 à 2006

  1. Puce C. Chainais-Hillairet, Y.-J. Peng : Finite volume approximation for degenerate drift-diffusion system in several space dimensions. M3AS, Vol 14, No 3, 2004, p. 461-481.

  2. Puce C. Chainais-Hillairet, J.-G. Liu, Y.-J. Peng : Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis. M2AN, Vol. 37, No 2, 2003, p.319-338.

  3. Puce C. Chainais-Hillairet, Y.-J. Peng : Convergence of a finite volume scheme for the drift-diffusion equations in 1-D. IMA Journal of Numerical Analysis, Vol. 23, 2003, p.81-108.

  4. Puce C. Chainais-Hillairet, E. Grenier : Numerical boundary layers for hyperbolic systems in 1-D. M2AN, Vol. 35, No 1, 2001, p.91-106.

  5. Puce C. Chainais-Hillairet, S. Champier : Finite volume schemes for nonhomogeneous scalar conservation laws : error estimate. Numer. Math., Vol. 88, No 4, 2001, p. 607-639.

  6. Puce C. Chainais-Hillairet : Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate. M2AN, Vol. 33, No 1, 1999, p.129-156.

  7. Puce C. Chainais-Hillairet : Second order finite volume schemes for a nonlinear hyperbolic equation : error estimate. M2AS, Vol. 23, 2000, p.467-490.