Bibliography

Major publications by the team in recent years

• 1C. Bataillon, F. Bouchon, C. Chainais-Hillairet, C. Desgranges, E. Hoarau, F. Martin, S. Perrin, M. Tupin, J. Talandier.
  Corrosion modelling of iron based alloy in nuclear waste repository, in: Electrochim. Acta, 2010, vol. 55, n^o 15, pp. 4451–4467.
• 2C. Bataillon, F. Bouchon, C. Chainais-Hillairet, J. Fuhrmann, E. Hoarau, R. Touzani.
  Numerical methods for the simulation of a corrosion model with moving oxide layer, in: J. Comput. Phys., 2012, vol. 231, n^o 18, pp. 6213–6231.
  http://dx.doi.org/10.1016/j.jcp.2012.06.005
• 3M. Bessemoulin-Chatard, C. Chainais-Hillairet, M.-H. Vignal.
  Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit., in: SIAM, J. Numer. Anal., 2014, vol. 52, n^o 4.
  http://epubs.siam.org/toc/sjnaam/52/4
• 4C. Calgaro, E. Chane-Kane, E. Creusé, T. Goudon.
  $L^{\infty }$-stability of vertex-based MUSCL finite volume schemes on unstructured grids: simulation of incompressible flows with high density ratios, in: J. Comput. Phys., 2010, vol. 229, n^o 17, pp. 6027–6046.
• 5C. Calgaro, E. Creusé, T. Goudon.
  An hybrid finite volume-finite element method for variable density incompressible flows, in: J. Comput. Phys., 2008, vol. 227, n^o 9, pp. 4671–4696.
• 6C. Calgaro, E. Creusé, T. Goudon, Y. Penel.
  Positivity-preserving schemes for Euler equations: Sharp and practical CFL conditions, in: J. Comput. Phys., 2013, vol. 234, n^o 1, pp. 417–438.
• 7C. Chainais-Hillairet.
  Entropy method and asymptotic behaviours of finite volume schemes, in: Finite volumes for complex applications. VII. Methods and theoretical aspects, Springer Proc. Math. Stat., Springer, Cham, 2014, vol. 77, pp. 17–35.
• 8E. Creusé, S. Nicaise, G. Kunert.
  A posteriori error estimation for the Stokes problem: anisotropic and isotropic discretizations, in: Math. Models Methods Appl. Sci., 2004, vol. 14, n^o 9, pp. 1297–1341.
  http://dx.doi.org/10.1142/S0218202504003635
• 9E. Creusé, S. Nicaise, Z. Tang, Y. Le Menach, N. Nemitz, F. Piriou.
  Residual-based a posteriori estimators for the $𝐀-\phi$ magnetodynamic harmonic formulation of the Maxwell system, in: Math. Models Methods Appl. Sci., 2012, vol. 22, n^o 5, 1150028, 30 p.
  http://dx.doi.org/10.1142/S021820251150028X

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 10C. Cancès.
  Analyse mathématique et numérique d'équations aux dérivées partielles issues de la mécanique des fluides : applications aux écoulements en milieux poreux, Université Pierre et Marie Curie , December 2015, Habilitation à diriger des recherches.
  https://hal.archives-ouvertes.fr/tel-01239700

Articles in International Peer-Reviewed Journals

• 11B. Andreianov, C. Cancès.
  On interface transmission conditions for conservation laws with discontinuous flux of general shape, in: Journal of Hyperbolic Differential Equations, July 2015, vol. 12, n^o 2, pp. 343-384. [ DOI : 10.1142/S0219891615500101 ]
  https://hal.archives-ouvertes.fr/hal-00940756
• 12C. Calgaro, C. Emmanuel, G. Thierry.
  Modeling and simulation of mixture flows: Application to powder–snow avalanches, in: Computers and Fluids, January 2015, vol. 107, pp. 100-122. [ DOI : 10.1016/j.compfluid.2014.10.008 ]
  https://hal.archives-ouvertes.fr/hal-01248897
• 13C. Cancès, F. Coquel, E. Godlewski, H. Mathis, N. Seguin.
  Error analysis of a dynamic model adaptation procedure for nonlinear hyperbolic equations, in: Communications in Mathematical Sciences, 2016, vol. 14, n^o 1, pp. 1-30.
  https://hal.archives-ouvertes.fr/hal-00852101
• 14C. Cancès, T. Gallouët, L. Monsaingeon.
  The gradient flow structure for incompressible immiscible two-phase flows in porous media, in: Comptes rendus de l'académie des sciences, Mathématiques, 2015, vol. 353, pp. 985-989.
  https://hal.archives-ouvertes.fr/hal-01122770
• 15C. Cancès, C. Guichard.
  Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations, in: Mathematics of Computation, 2016, vol. 85, n^o 298, pp. 549-580.
  https://hal.archives-ouvertes.fr/hal-00955091
• 16C. Chainais-Hillairet, P.-L. Colin, I. Lacroix-Violet.
  Convergence of a Finite Volume Scheme for a Corrosion Model, in: International Journal on Finite Volumes, 2015. [ DOI : 10.1007/978-3-319-05591-6_54 ]
  https://hal.archives-ouvertes.fr/hal-01082041
• 17C. Chainais-Hillairet, A. Jüngel, S. Schuchnigg.
  Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities, in: Modelisation Mathématique et Analyse Numérique, 2016, vol. 50, n^o 1, pp. 135-162.
  https://hal.archives-ouvertes.fr/hal-00924282
• 18C. Chainais-Hillairet, A. Jüngel, P. Shpartko.
  A finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors, in: Numerical Methods for Partial Differential Equations, November 2015. [ DOI : 10.1002/num.22030 ]
  https://hal.archives-ouvertes.fr/hal-01115858
• 19C. Chainais-Hillairet, I. Lacroix-Violet.
  On the existence of solutions for a drift-diffusion system arising in corrosion modelling, in: Discrete and Continuous Dynamical Systems - Series B, 2015, vol. 20, n^o Issue 1, 15 p.
  https://hal.archives-ouvertes.fr/hal-00764239
• 20E. Creusé, M. Farhloul, S. Nicaise, L. Paquet.
  A posteriori error estimates of the stabilized Crouzeix-Raviart finite element method for the Lamé-Navier equations, in: Far East Journal of Mathematical Sciences, 2015, vol. 96, n^o 2, pp. 167-192.
  https://hal.archives-ouvertes.fr/hal-00777678
• 21P. Dular, Y. Le Menach, Z. Tang, E. Creusé, F. Piriou.
  Finite element mesh adaptation strategies from residual and hierarchical error estimators in eddy current problems, in: IEEE Transactions on Magnetics, 2015, vol. 51, n^o 3. [ DOI : 10.1109/TMAG.2014.2352553 ]
  https://hal.archives-ouvertes.fr/hal-01243654
• 22F. Filbet, L. Pareschi, T. Rey.
  On steady-state preserving spectral methods for homogeneous Boltzmann equations, in: Comptes Rendus Mathématique, April 2015, vol. 353, n^o 4, pp. 309–314. [ DOI : 10.1016/j.crma.2015.01.015. ]
  https://hal.inria.fr/hal-01053930
• 23F. Filbet, T. Rey.
  A hierarchy of hybrid numerical methods for multi-scale kinetic equations, in: SIAM Journal on Scientific Computing, May 2015, vol. 37, n^o 3, pp. A1218–A1247.
  https://hal.archives-ouvertes.fr/hal-00951980
• 24M. I. Garcia De Soria, P. Maynar, S. Mischler, C. Mouhot, T. Rey, E. Trizac.
  Towards an H-theorem for granular gases, in: Journal of Statistical Mechanics: Theory and Experiment, December 2015, vol. 2015, 14 pages, 5 figures. [ DOI : 10.1088/1742-5468/2015/11/P11009 ]
  https://hal.archives-ouvertes.fr/hal-01242931
• 25M. Gisclon, I. Lacroix-Violet.
  About the barotropic compressible quantum Navier-Stokes equations, in: Nonlinear Analysis: Theory, Methods and Applications, 2015, vol. 128.
  https://hal.archives-ouvertes.fr/hal-01090191
• 26D. H. MAC, Z. Tang, S. CLENET, E. Creusé.
  Residual-based a posteriori error estimation for a stochastic magnetostatic problem, in: Journal of Computational and Applied Mathematics, 2015, vol. 289, pp. 51-67. [ DOI : 10.1016/j.cam.2015.03.027 ]
  https://hal.archives-ouvertes.fr/hal-01243687
• 27H. Mathis, C. Cancès, E. Godlewski, N. Seguin.
  Dynamic model adaptation for multiscale simulation of hyperbolic systems with relaxation, in: Journal of Scientific Computing, 2015, vol. 63, n^o 3, pp. 820-861.
  https://hal.archives-ouvertes.fr/hal-00782637
• 28Z. Tang, Y. Le Menach, E. Creusé, S. Nicaise, F. Piriou, N. Nemitz.
  A posteriori residual error estimators with mixed boundary conditions for quasi-static electromagnetic problems, in: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2015, vol. 34, n^o 3, pp. 724-739. [ DOI : 10.1108/COMPEL-10-2014-0256 ]
  https://hal.archives-ouvertes.fr/hal-01243637
• 29Z. Tang, Y. Le Menach, E. Creusé, S. Nicaise, F. Piriou.
  Residual a posteriori estimator for magnetoharmonic potential formulations with global quantities source terms, in: IEEE Transactions on Magnetics, 2015, vol. 51, n^o 3. [ DOI : 10.1109/TMAG.2014.2359770 ]
  https://hal.archives-ouvertes.fr/hal-01243666

Other Publications

• 30B. Andreianov, C. Cancès, A. Moussa.
  A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs, 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01142499
• 31C. Besse, M. Ehrhardt, I. Lacroix-Violet.
  Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation, January 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01105043
• 32M. Bessemoulin-Chatard, C. Chainais-Hillairet.
  Exponential decay of a finite volume scheme to the thermal equilibrium for drift–diffusion systems, January 2016, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01250709
• 33F. Boyer, F. Nabet.
  A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01249262
• 34C. Calgaro, E. Creusé, T. Goudon, S. Krell.
  Simulations of non homogeneous viscous flows with incompressibility constraints, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01246070
• 35C. Cancès, C. Guichard.
  Numerical analysis of a robust entropy-diminishing Finite Volume scheme for parabolic equations with gradient structure, 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01119735
• 36C. Cancès, M. Ibrahim, M. Saad.
  Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system, February 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01119210
• 37C. Chainais-Hillairet, T. Gallouët.
  Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation, May 2015, working paper or preprint.
  https://hal.inria.fr/hal-01147621
• 38E. Creusé, S. Nicaise, R. Tittarelli.
  A guaranteed equilibrated error estimator for the A − ϕ and T − Ω magnetodynamic harmonic formulations of the Maxwell system, January 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01110258
• 39M. Goldman, B. Merlet.
  Phase segregation for binary mixtures of Bose-Einstein Condensates, December 2015, working paper or preprint.
  https://hal.archives-ouvertes.fr/hal-01155676

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  An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow, in: Math. Comp., 2014, vol. 83, n^o 285, pp. 153–188.
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  Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system, in: Calcolo, 2011, vol. 48, n^o 4, pp. 307–335.
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• 58F. Guillén-González, J. V. Gutiérrez-Santacreu.
  Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier-Stokes equations with mass diffusion, in: SIAM J. Numer. Anal., 2008, vol. 46, n^o 5, pp. 2276–2308.
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• 59M. E. Hubbard, M. Ricchiuto.
  Discontinuous upwind residual distribution: a route to unconditional positivity and high order accuracy, in: Comput. & Fluids, 2011, vol. 46, pp. 263–269.
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