Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

• 1N. Aissiouene, M.-O. Bristeau, E. Godlewski, J. Sainte-Marie.
  
  A combined finite volume - finite element scheme for a dispersive shallow water system, in: Networks and Heterogeneous Media (NHM), January 2016.
  
  https://hal.inria.fr/hal-01160718
• 2E. Audusse, S. Boyaval, N. Goutal, M. Jodeau, P. Ung.
  
  Numerical Simulation of the Dynamics of Sedimentary River Beds with a Stochastic Exner Equation, in: ESAIM: Proceedings and Surveys, January 2015. [ DOI : 10.1051/proc/201448015 ]
  
  https://hal.archives-ouvertes.fr/hal-01102335
• 3E. Audusse, C. Chalons, P. Ung.
  
  A simple well-balanced and positive numerical scheme for the shallow-water system, in: Communications in Mathematical Sciences, January 2015. [ DOI : 10.4310/CMS.2015.v13.n5.a11 ]
  
  https://hal.archives-ouvertes.fr/hal-01083364
• 4F. Bouchut, E. D. Fernandez-Nieto, A. Mangeney, G. Narbona-Reina.
  
  A two-phase shallow debris flow model with energy balance, in: ESAIM: Mathematical Modelling and Numerical Analysis, January 2015, vol. 49, n^o 1, pp. 101 - 140. [ DOI : 10.1051/m2an/2014026 ]
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-00860871
• 5A.-C. Boulanger, P. Moireau, B. Perthame, J. Sainte-Marie.
  
  Data Assimilation for hyperbolic conservation laws. A Luenberger observer approach based on a kinetic description, in: Communications in Mathematical Sciences, March 2015, vol. 13, n^o 3, pp. 587 – 622. [ DOI : 10.4310/CMS.2015.v13.n3.a1 ]
  
  https://hal.archives-ouvertes.fr/hal-00924559
• 6K. Brenner, M. Groza, C. Guichard, G. Lebeau, R. Masson.
  
  Gradient discretization of hybrid dimensional Darcy flows in fractured porous media, in: Numerische Mathematik, November 2015. [ DOI : 10.1007/s00211-015-0782-x ]
  
  https://hal.archives-ouvertes.fr/hal-01097704
• 7C. 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
• 8M. Farin, A. Mangeney, J. De Rosny, R. Toussaint, J. Sainte-Marie, N. M. Shapiro.
  
  Experimental validation of theoretical methods to estimate the energy radiated by elastic waves during an impact, in: Journal of Sound and Vibration, November 2015, vol. 362, pp. 176–202. [ DOI : 10.1016/j.jsv.2015.10.003 ]
  
  https://hal.inria.fr/hal-01211818
• 9M. Farin, A. Mangeney, R. Toussaint, J. De Rosny, N. Shapiro, T. Dewez, C. Hibert, C. Mathon, O. Sedan, F. Berger.
  
  Characterization of rockfalls from seismic signal: insights from laboratory experiments, in: Journal of Geophysical Research, September 2015, vol. 120. [ DOI : 10.1002/2015JB012331 ]
  
  https://hal.archives-ouvertes.fr/hal-01212961
• 10I. Ionescu, A. Mangeney, F. Bouchut, O. Roche.
  
  Viscoplastic modeling of granular column collapse with pressure-dependent rheology, in: Journal of Non-Newtonian Fluid Mechanics, May 2015, vol. 219, pp. 1-18. [ DOI : 10.1016/j.jnnfm.2015.02.006 ]
  
  https://hal.archives-ouvertes.fr/hal-01080456
• 11H. 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
• 12C. Mifsud, B. Després, N. Seguin.
  
  Dissipative formulation of initial boundary value problems for Friedrichs' systems, in: Communications in Partial Differential Equations, January 2016, vol. 41, n^o 1. [ DOI : 10.1080/03605302.2015.1103750 ]
  
  https://hal.archives-ouvertes.fr/hal-01074542
• 13L. Moretti, K. Allstadt, A. Mangeney, Y. Capdeville, E. Stutzmann, F. Bouchut.
  
  Numerical modeling of the mount Meager landslide constrained by its force history derived from seismic data, in: Journal of Geophysical Research: Solid Earth, March 2015, vol. 120, n^o 4, pp. 2579-2599. [ DOI : 10.1002/2014JB011426 ]
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-01146179
• 14M. Parisot, M. Lachowicz.
  
  A Kinetic Model for the formation of Swarms with nonlinear interactions, in: Kinetic and Related Models (KRM), March 2016, vol. 9, n^o 1, 33 p. [ DOI : 10.3934/krm.2016.9.131 ]
  
  https://hal.inria.fr/hal-01152397
• 15Y. Penel, S. Dellacherie, B. Després.
  
  Coupling strategies for compressible - low Mach number flows, in: Mathematical Models and Methods in Applied Sciences, June 2015, vol. 25, n^o 6, 1045 p. [ DOI : 10.1142/S021820251550027X ]
  
  https://hal.archives-ouvertes.fr/hal-00922770

International Conferences with Proceedings

• 16R. Eymard, P. Feron, C. Guichard.
  
  Gradient Schemes for incompressible steady Navier-Stokes problem, in: MAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Pau, France, Université de Pau, June 2015.
  
  https://hal.archives-ouvertes.fr/hal-01133268

Conferences without Proceedings

• 17N. Aïssiouene, T. Amtout, M. Brachet, E. Frénod, R. Hild, A. Rousseau, S. Salmon.
  
  Hydromorpho: A coupled model for unsteady Stokes/Exner equations and numerical results with Feel++ library, in: CEMRACS 2015, Marseille, France, July 2015.
  
  https://hal.archives-ouvertes.fr/hal-01223427

Other Publications

• 18N. Aissiouene, M.-O. Bristeau, E. Godlewski, J. Sainte-Marie.
  
  A robust and stable numerical scheme for a depth-averaged Euler system, June 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01162109
• 19E. Audusse, F. Bouchut, M.-O. Bristeau, J. Sainte-Marie.
  
  Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system, August 2015, Accepted for publication in Math. Comp..
  
  https://hal.inria.fr/hal-01063577
• 20E. Audusse, C. Chalons, P. Ung.
  
  A simple three-wave Approximate Riemann Solver for the Saint-Venant–Exner equations, September 2015, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01204754
• 21J.-F. Babadjian, C. Mifsud, N. Seguin.
  
  Relaxation approximation of Friedrich's systems under convex constraints, May 2015, working paper or preprint. [ DOI : 10.3934/S0033-569X-2015-01376-8 ]
  
  https://hal.archives-ouvertes.fr/hal-01157484
• 22A. Bondesan, S. Dellacherie, H. Hivert, J. Jung, V. Lleras, C. Mietka, Y. Penel.
  
  Study of a depressurisation process at low Mach number in a nuclear reactor core, August 2015, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01258397
• 23F. Bouchut, E. D. Fernandez-Nieto, A. Mangeney, G. Narbona-Reina.
  
  A two-phase two-layer model for fluidized granular flows with dilatancy effects, June 2015, working paper or preprint.
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-01161930
• 24F. Bouchut, I. R. Ionescu, A. Mangeney.
  
  An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows, January 2016, working paper or preprint.
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-01081213
• 25M.-O. Bristeau, B. DI MARTINO, C. Guichard, J. Sainte-Marie.
  
  Layer-averaged Euler and Navier-Stokes equations, September 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01202042
• 26C. 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
• 27F. Coquel, E. Godlewski, K. Haddaoui, C. Marmignon, F. Renac.
  
  Choice of measure source terms in interface coupling for a model problem in gas dynamics, April 2015, working paper or preprint.
  
  http://hal.upmc.fr/hal-01241875
• 28S. Dellacherie, G. Faccanoni, B. Grec, Y. Penel.
  
  Study of a low Mach nuclear core model for two-phase flows with phase transition II: tabulated equation of state, January 2015, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01111730
• 29S. Dellacherie, Y. Penel, E. Audusse, P. Omnes, H. Do Minh.
  
  Godunov type scheme for the linear wave equation with Coriolis source term, November 2015, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01254888
• 30M. Farin, A. Mangeney, J. De Rosny, R. Toussaint, J. Sainte-Marie, N. M. Shapiro.
  
  Experimental validation of theoretical methods to estimate the energy radiated by elastic waves during an impact, October 2015, To be published in Journal of Sound and Vibration. [ DOI : 10.1016/j.jsv.2015.10.003 ]
  
  https://hal.archives-ouvertes.fr/hal-01213752
• 31D. Kazerani.
  
  Global existence for small data of the viscous Green–Naghdi type equations, February 2015, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01111941
• 32M. Lachowicz, H. Leszczyński, M. Parisot.
  
  A simple kinetic equation of swarm formation: blow–up and global existence, December 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01241998
• 33M. Lachowicz, M. Parisot, Z. Szymańska.
  
  Intracellular protein dynamics as a mathematical problem, May 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01152399
• 34C. Lusso, F. Bouchut, A. Ern, A. Mangeney.
  
  A simplified model for static/flowing dynamics in thin-layer flows of granular materials with yield, April 2015, working paper or preprint.
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-00992309
• 35C. Lusso, F. Bouchut, A. Ern, A. Mangeney.
  
  Explicit solutions to a free boundary model for the static/flowing transition in granular flows, July 2015, working paper or preprint.
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-01180686
• 36C. Lusso, A. Ern, F. Bouchut, A. Mangeney, M. Farin, O. Roche.
  
  Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse, March 2015, working paper or preprint.
  
  https://hal-upec-upem.archives-ouvertes.fr/hal-01133786
• 37M. Parisot.
  
  Six equations model for non-hydrostatic flows, December 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01242128
• 38M. Parisot, J.-P. Vila.
  
  Centered-potential regularization for advection upstream splitting method, 2015, working paper or preprint.
  
  https://hal.inria.fr/hal-01152395

References in notes

• 39E. Audusse.
  
  A multilayer Saint-Venant model : Derivation and numerical validation, in: Discrete Contin. Dyn. Syst. Ser. B, 2005, vol. 5, n^o 2, pp. 189-214.
• 40E. Audusse, M.-O. Bristeau, M. Pelanti, J. Sainte-Marie.
  
  Approximation of the hydrostatic Navier-Stokes system for density stratified flows by a multilayer model. Kinetic interpretation and numerical validation, in: J. Comput. Phys., 2011, vol. 230, pp. 3453-3478.
  
  http://dx.doi.org/10.1016/j.jcp.2011.01.042
• 41E. Audusse, M.-O. Bristeau, B. Perthame, J. Sainte-Marie.
  
  A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation, in: ESAIM Math. Model. Numer. Anal., 2011, vol. 45, pp. 169-200.
  
  http://dx.doi.org/10.1051/m2an/2010036
• 42F. Bouchut, J. Sommer, V. Zeitlin.
  
  Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. part 2. high-resolution numerical simulations, in: Journal of Fluid Mechanics, 2004, vol. 514, pp. 35–63.
• 43F. Bouchut, V. Zeitlin.
  
  A robust well-balanced scheme for multi-layer shallow water equations, in: Discrete Contin. Dyn. Syst. Ser. B, 2010, vol. 13, pp. 739-758.
• 44C. Cancès, H. Mathis, N. Seguin.
  
  Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws, 2015.
• 45M. Castro, J. García-Rodríguez, J. González-Vida, J. Macías, C. Parés, M. Vázquez-Cendón.
  
  Numerical simulation of two-layer shallow water flows through channels with irregular geometry, in: J. Comput. Phys., 2004, vol. 195, n^o 1, pp. 202–235.
• 46A. Vasseur, C. Yu.
  
  Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations, 2015.