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Bibliography

Major publications by the team in recent years Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journal

  • 14N. Besse.

    On the Cauchy problem for the gyro-water-bag model, in: Mathematical Models and Methods in Applied Sciences, 2011, vol. 21, no 9, p. 1-31. [ DOI : 10.1142/S0218202511005623 ]

    http://hal.inria.fr/hal-00594877/en
  • 15N. Besse.

    On the water-bag continuum, in: Archive for Rational Mechanics and Analysis, 2011, vol. 199, no 2, p. 453-491. [ DOI : 10.1007/s00205-010-0392-9 ]

    http://hal.inria.fr/hal-00594878/en
  • 16N. Besse.

    Global weak solutions for the relativistic waterbag continuum, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22.

    http://hal.inria.fr/hal-00594881/en
  • 17N. Besse, Y. Elskens, D. Escande, P. Bertrand.

    Validity of quasilinear theory: refutations and new numerical confirmation, in: Plasma Physics and Controlled Fusion, 2011, vol. 53, no 2. [ DOI : 10.1088/0741-3335/53/2/025012 ]

    http://hal.inria.fr/hal-00594879/en
  • 18A. Canelas, N. Andre Antonio, J. R. Roche.

    A new method for inverse electromagnetic casting problems based on the topological derivative, in: Journal of Computational Physics, May 2011, vol. 230, no 9, p. 3570-3588. [ DOI : 10.1016/j.jcp.2011.01.049 ]

    http://hal.inria.fr/inria-00589763/en
  • 19P. Ciarlet, S. Labrunie.

    Numerical solution of Maxwell's equations in axisymmetric domains with the Fourier Singular Complement Method, in: The Journal of Difference Equations and Applications, 2011, vol. 3, p. 113-155, 37 pages.

    http://hal.inria.fr/hal-00365391/en
  • 20N. Crouseilles, M. Lemou.

    An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits., in: Kinetic and related models, 2011, vol. 4, no 2, p. 441-477.

    http://hal.inria.fr/hal-00533327/en
  • 21N. Crouseilles, A. Ratnani, E. Sonnendrücker.

    An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation, in: Journal of Computational Physics, October 2011, vol. 231, no 2, p. 373-393. [ DOI : 10.1016/j.jcp.2011.09.004 ]

    http://hal.inria.fr/inria-00584672/en
  • 22I. Faye, E. Frénod, D. Seck.

    Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment, in: Discrete and Continuous Dynamical Systems: Series A, 2011, vol. 29, no 3, p. 1001-1030.

    http://hal.inria.fr/hal-00433133/en
  • 23R. Klein, E. Gravier, J.-H. Chatenet, N. Besse, P. Bertrand, X. Garbet.

    The gyrokinetic Water-bag modeling in toroidal geometry, in: The European Physical Journal D, 2011, vol. 62, no 3, p. 413-420. [ DOI : 10.1140/epjd/e2011-10595-4 ]

    http://hal.inria.fr/hal-00594882/en
  • 24G. Manfredi, S. Hirstoaga, S. Devaux.

    Vlasov modelling of parallel transport in a tokamak scrape-off layer, in: Plasma Physics and Controlled Fusion, January 2011, vol. 53, no 1. [ DOI : 10.1088/0741-3335/53/1/015012 ]

    http://hal.inria.fr/hal-00538153/en
  • 25P. Morel, E. Gravier, N. Besse, R. Klein, A. Ghizzo, P. Bertrand, C. Bourdelle, X. Garbet.

    Water-bag modeling of a multispecies plasma, in: Physics of Plasmas, 2011, vol. 18, no 3. [ DOI : 10.1063/1.3565019 ]

    http://hal.inria.fr/hal-00594880/en
  • 26A. Ratnani, E. Sonnendrücker.

    Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell equations, in: Journal of Scientific Computing, 2011. [ DOI : 10.1007/ s10915-011-9500-8 ]

    http://hal.archives-ouvertes.fr/hal-00507758/en/
  • 27T. Respaud, E. Sonnendrücker.

    Analysis of a new class of Forward Semi-Lagrangian schemes for the 1D Vlasov-Poisson Equations, in: Numerische Mathematik / Numerical Mathematics, 2011, vol. 118, no 2, p. 329-366. [ DOI : 10.1007/s00211-010-0351-2 ]

    http://hal.inria.fr/hal-00442957/en

International Conferences with Proceedings

  • 28A. Back, A. Crestetto, A. Ratnani, E. Sonnendrücker.

    An axisymmetric PIC code based on isogeometric analysis, in: CEMRACS 2010, Marseille, France, EDP Sciences, October 2011, vol. 32, p. 118-133. [ DOI : 10.1051/proc/2011016 ]

    http://hal.inria.fr/hal-00642044/en
  • 29J.-P. Braeunig, L. Brosset, F. Dias, J.-M. Ghidaglia.

    Phenomenological Study of Liquid Impacts through 2D Compressible Two-fluid Numerical Simulations, in: Proceedings of the Nineteenth (2009) International Offshore and Polar Engineering Conference, Osaka, Japan, The International Society of Offshore and Polar Engineers (ISOPE), 2011, p. 21-29.

    http://hal.inria.fr/hal-00605428/en
  • 30A. Canelas, N. Andre Antonio, J. R. Roche.

    Design of inductors in electromagnetic casting using topological derivatives, in: The 14th International Conference on Material forming, ESAFORM 2011, Belfast, United Kingdom, G. Menary (editor), AIP Conference Proceedings, AIP, 2011, vol. 1353, p. 17-22. [ DOI : 10.1063/1.3589485 ]

    http://hal.inria.fr/inria-00589764/en
  • 31A. Crestetto, P. Helluy.

    Multi-Water-Bag Model And Method Of Moments For The Vlasov Equation, in: Finite Volumes for Complex Applications VI, Prague, Czech Republic, J. Fořt, J. Fürst, J. Halama, R. Herbin, F. Hubert (editors), Springer Proceedings in Mathematics, Springer, 2011, vol. 4, p. 293-301. [ DOI : 10.1007/978-3-642-20671-9_31 ]

    http://hal.inria.fr/hal-00641991/en
  • 32N. Crouseilles, M. Mehrenberger, F. Vecil.

    Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson, in: cemracs 2010, France, November 2011.

    http://hal.inria.fr/hal-00544677/en
  • 33G. Manfredi, S. Hirstoaga, S. Devaux, E. Havlickova, D. Tskhakaya.

    Parallel transport in a tokamak scrape-off layer, in: Proceedings of the 38th European Physical Society Conference on Plasma Physics, Strasbourg, France, 2011.

Conferences without Proceedings

  • 34J. R. Roche, N. Alaa.

    Resolution of a Class of Non-Linear Elliptic Problems, in: X Workshop on Partial Differential Equations and Applications, Belem, Brazil, August 2011.

    http://hal.inria.fr/hal-00643173/en
  • 35J. R. Roche.

    Topological sensitivity analysis for the inverse electromagnetic casting problem, in: 25th IFIP TC7 Conference on System Modeling and Optimization, Berlin, Germany, September 2011.

    http://hal.inria.fr/hal-00643803/en

Internal Reports

Other Publications

  • 42M. Bergot, M. Duruflé.

    High-Order Optimal Edge Elements for Pyramids, Prisms and Hexahedra, 2011.

    http://hal.inria.fr/hal-00605963/en
  • 43J.-P. Braeunig, N. Crouseilles, V. Grandgirard, G. Latu, M. Mehrenberger, E. Sonnendrücker.

    Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code, submitted.
  • 44M. Campos Pinto.

    Smooth particle methods without smoothing, to be submitted.
  • 45M. Campos Pinto, E. Sonnendrücker, A. Friedman, D. P. Grote, S. M. Lund.

    Smooth particle methods without smoothing, to be submitted.
  • 46N. Crouseilles, E. Faou.

    Approximate travelling wave solutions to the 2D Euler equation on the torus, February 2011.

    http://hal.archives-ouvertes.fr/hal-00567426/en/
  • 47N. Crouseilles, E. Faou, M. Mehrenberger.

    High order Runge-Kutta-Nyström splitting methods for the Vlasov-Poisson equation, 2011.

    http://hal.inria.fr/inria-00633934/en
  • 48N. Crouseilles, E. Frénod, S. Hirstoaga, A. Mouton.

    Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field, 2011.

    http://hal.inria.fr/hal-00638617/en
  • 49W. Despagne, E. Frénod.

    Transport hub flow modelling, 2012.

    http://hal.archives-ouvertes.fr/hal-00522938/en/
  • 50I. Faye, E. Frénod, D. Seck.

    Long term behaviour of singularly perturbed parabolic degenerated equation, 2011.

    http://hal.inria.fr/hal-00592761/en
  • 51E. Frénod.

    Two-Scale Convergence, 2011.

    http://hal.inria.fr/hal-00638546/en
  • 52E. Frénod, M. Lutz.

    The Gyro-Kinetic Approximation. An attempt at explaining the method based on Darboux Algorithm and Lie Transform, 2011.

    http://hal.inria.fr/hal-00638657/en
References in notes
  • 53F. Assous, P. Ciarlet, S. Labrunie.

    Theoretical tools to solve the axisymmetric Maxwell equations, in: Math. Meth. Appl. Sci., 2002, vol. 25, p. 49–78.
  • 54F. Assous, P. Ciarlet, S. Labrunie.

    Solution of axisymmetric Maxwell equations, in: Math. Meth. Appl. Sci., 2003, vol. 26, p. 861–896.
  • 55F. Assous, P. Ciarlet, S. Labrunie, J. Segré.

    Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The Singular Complement Method, in: J. Comp. Phys., 2003, vol. 191, p. 147–176.
  • 56F. Assous, P. Ciarlet, J. Segré.

    Numerical solution to the time dependent Maxwell equations in two dimensional singular domains: the Singular Complement Method, in: J. Comput. Phys., 2000, vol. 161, p. 218–249.
  • 57F. Assous, P. Ciarlet, E. Sonnendrücker.

    Resolution of the Maxwell equations in a domain with reentrant corners, in: M  2 AN, 1998, vol. 32, p. 359–389.
  • 58C. Bardos, P. Degond.

    Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data, in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 1985, vol. 2, no 2, p. 101–118.
  • 59S. Benachour, F. Filbet, P. Laurençot, E. Sonnendrücker.

    Global existence for the Vlasov-Darwin system in ℝ 3 for small initial data, in: Math. Methods Appl. Sci., 2003, vol. 26, no 4, p. 297–319.
  • 60C. Bernardi, M. Dauge, Y. Maday.

    Spectral methods for axisymmetric domains, Series in Applied Mathematics, Gauthier-Villars, Paris and North Holland, Amsterdam, 1999.
  • 61N. Besse, P. Bertrand.

    Gyro-water-bag approach in nonlinear gyrokinetic turbulence, in: J. Comput. Phys., 2009, vol. 228, no 11, p. 3973–3995.

    http://dx.doi.org/10.1016/j.jcp.2009.02.025
  • 62C. Birdsall, A. Langdon.

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  • 63Y. Brenier.

    Convergence of the Vlasov-Poisson system to the incompressible Euler equations, in: Comm. Partial Differential Equations, 2000, vol. 25, no 3-4, p. 737–754.
  • 64P. Ciarlet, N. Filonov, S. Labrunie.

    Un résultat de fermeture pour les équations de Maxwell en géométrie axisymétrique, in: C. R. Acad. Sci. Paris série I, 2000, vol. 331, p. 293–298.
  • 65R. DiPerna, P.-L. Lions.

    Global weak solutions of the Vlasov-Maxwell systems, in: Comm. Pure. Appl. Math., 1989, vol. XLII, p. 729–757.
  • 66F. Filbet, E. Sonnendrücker, P. Bertrand.

    Conservative numerical schemes for the Vlasov equation, in: J. Comput. Phys., 2001, vol. 172, no 1, p. 166–187.
  • 67I. Foster, C. Kesselman.

    The Grid, blueprint for a new computing infrastructure, Morgan Kaufmann Publishers, Inc., 1998.
  • 68E. Frénod, E. Sonnendrücker.

    Long time behavior of the Vlasov equation with a strong external magnetic field, in: Math. Models Methods Appl. Sci., 2000, vol. 10, no 4, p. 539–553.
  • 69E. Frénod, E. Sonnendrücker.

    The finite Larmor radius approximation, in: SIAM J. Math. Anal., 2001, vol. 32, no 6, p. 1227–1247.
  • 70E. Frénod, E. Sonnendrücker.

    Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field, in: Asymptot. Anal., 1998, vol. 18, no 3-4, p. 193–213.
  • 71E. Frénod, F. Salvarani, E. Sonnendrücker.

    Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method, in: Mathematical Models and Methods in Applied Sciences, 2009, vol. 19, no 2, p. 175-197, ACM 82D10 35B27 76X05.

    http://hal.archives-ouvertes.fr/hal-00180700/en/
  • 72E. Garcia, S. Labrunie.

    Régularité spatio-temporelle de la solution des équations de Maxwell dans des domaines non-convexes, in: C. R. Acad. Sci. Paris, série I, 2002, vol. 334, p. 293–298.
  • 73R. T. Glassey.

    The Cauchy problem in kinetic theory, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1996.
  • 74F. Golse, L. Saint-Raymond.

    The Vlasov-Poisson system with strong magnetic field in quasineutral regime, in: Math. Models Methods Appl. Sci., 2003, vol. 13, no 5, p. 661–714.
  • 75M. Griebel, G. Zumbusch.

    Hash based adaptive parallel multilevel methods with space-filling curves, 2000.
  • 76E. Horst, R. Hunze.

    Weak solutions of the initial value problem for the unmodified nonlinear Vlasov equation, in: Math. Methods Appl. Sci., 1984, vol. 6, no 2, p. 262–279.
  • 77T. J. R. Hughes, J. A. Cottrell, Y. Bazilevs.

    Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, in: Comput. Methods Appl. Mech. Engrg., 2005, vol. 194, no 39-41, p. 4135–4195.

    http://dx.doi.org/10.1016/j.cma.2004.10.008
  • 78M. Parashar, J. C. Browne, C. Edwards, K. Klimkowski.

    A common data management infrastructure for adaptive algorithms for PDE solutions, 1997.
  • 79L. Saint-Raymond.

    The gyrokinetic approximation for the Vlasov-Poisson system, in: Math. Models Methods Appl. Sci., 2000, vol. 10, no 9, p. 1305–1332.
  • 80E. Violard.

    A Semantic Framework To Adress Data Locality in Data Parallel Programs, in: Parallel Computing, 2004, vol. 30, no 1, p. 139–161.