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Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

  • 1H. Alzubaidi, X. Antoine, C. Chniti.

    Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems, in: Applied Mathematics and Computation, 2016, vol. 277, pp. 82-100.

    https://hal.archives-ouvertes.fr/hal-01244517
  • 2S. Ammar, M. Massaoud, J.-C. Vivalda.

    Observability Under Sampling for Nonlinear Systems, in: Asian Journal of Control, July 2016, vol. 18, no 4, 10 p. [ DOI : 10.1002/asjc.1284 ]

    https://hal.inria.fr/hal-01264249
  • 3X. Antoine, C. Besse, V. Rispoli.

    High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger /Gross-Pitaevskii equations, in: Journal of Computational Physics, December 2016, vol. 327, pp. 252–269. [ DOI : 10.1016/j.jcp.2016.09.020 ]

    https://hal.archives-ouvertes.fr/hal-01271463
  • 4X. Antoine, E. Lorin.

    Lagrange–Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems, in: Applied Mathematics Letters, 2016, vol. 57, pp. 38-45. [ DOI : 10.1016/j.aml.2015.12.012 ]

    https://hal.archives-ouvertes.fr/hal-01244354
  • 5X. Antoine, Q. Tang, Y. Zhang.

    On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions, in: Journal of Computational Physics, 2016, vol. 325, pp. 74-97. [ DOI : 10.1016/j.jcp.2016.08.009 ]

    https://hal.archives-ouvertes.fr/hal-01244364
  • 6W. Bao, Q. Tang, Y. Zhang.

    Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT, in: Communications in Computational Physics, 2016, vol. 19, no 5, pp. 1141-1166. [ DOI : 10.4208/cicp.scpde14.37s ]

    https://hal.archives-ouvertes.fr/hal-01273317
  • 7C. Bianchini, A. Henrot, T. Takahashi.

    Elastic energy of a convex body, in: Mathematische Nachrichten, 2016, vol. 289, no 5-6, pp. 546-574. [ DOI : 10.1002/mana201400256 ]

    https://hal.archives-ouvertes.fr/hal-01011979
  • 8R. Bunoiu, K. Ramdani.

    Homogenization of materials with sign changing coefficients, in: Communications in Mathematical Sciences, 2016, vol. 14, no 4, pp. 1137-1154. [ DOI : 10.4310/CMS.2016.v14.n4.a13 ]

    https://hal.inria.fr/hal-01162225
  • 9D. Dos Santos Ferreira, P. Caro, A. Ruiz.

    Stability estimates for the Calderón problem with partial data, in: Journal of Differential Equations, February 2016, vol. 260, no 3. [ DOI : 10.1016/j.jde.2015.10.007 ]

    https://hal.archives-ouvertes.fr/hal-01251717
  • 10T. Hishida, A. L. Silvestre, T. Takahashi.

    A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid, in: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2017.

    https://hal.archives-ouvertes.fr/hal-01205210
  • 11E. Lorin, X. Yang, X. Antoine.

    Frozen Gaussian Approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime, in: Journal of Computational Physics, 2016, vol. 315, pp. 221-237.

    https://hal.archives-ouvertes.fr/hal-01244430
  • 12D. Maity, T. Takahashi, M. Tucsnak.

    Analysis of a System Modelling The Motion of a Piston in a Viscous Gas, in: Journal of Mathematical Fluid Mechanics, 2016.

    https://hal.archives-ouvertes.fr/hal-01285089
  • 13A. Munnier, K. Ramdani.

    Conformal mapping for cavity inverse problem: an explicit reconstruction formula, in: Applicable Analysis, 2016. [ DOI : 10.1080/00036811.2016.1208816 ]

    https://hal.inria.fr/hal-01196111
  • 14A. Munnier, K. Ramdani.

    On the detection of small moving disks in a fluid, in: SIAM Journal on Applied Mathematics, 2016, vol. 76, no 1, pp. 159-177. [ DOI : 10.1137/141001226 ]

    https://hal.inria.fr/hal-01098067
  • 15K. Ramdani, M. Tucsnak, J. Valein.

    Detectability and state estimation for linear age-structured population diffusion models, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2016, vol. 50, no 6, pp. 1731-1761. [ DOI : 10.1051/m2an/2016002 ]

    https://hal.inria.fr/hal-01140166
  • 16J. San Martin, T. Takahashi, M. Tucsnak.

    An optimal control approach to ciliary locomotion, in: Mathematical Control and Related Fields, 2016.

    https://hal.archives-ouvertes.fr/hal-01062663
  • 17B. Thierry, A. Vion, S. Tournier, M. El Bouajaji, D. Colignon, N. Marsic, X. Antoine, C. Geuzaine.

    GetDDM: an open framework for testing Schwarz methods for time-harmonic wave problems, in: Computer Physics Communications, 2016, vol. 203, pp. 309-330.

    https://hal.archives-ouvertes.fr/hal-01244511
  • 18M. Tucsnak, J. Valein, C.-T. Wu.

    Finite dimensional approximations for a class of infinite dimensional time optimal control problems, in: International Journal of Control, 2016, pp. 1 - 13. [ DOI : 10.1080/00207179.2016.1228122 ]

    https://hal.archives-ouvertes.fr/hal-01393258

Scientific Books (or Scientific Book chapters)

  • 19X. Antoine, C. Geuzaine.

    Optimized Schwarz Domain Decomposition Methods for Scalar and Vector Helmholtz Equations, in: Modern Solvers for Helmholtz Problems, J. T. D. Lahaye, K. Vuik (editors), Lecture Notes in Geosystems Mathematics and Computing, Birkhauser, 2016, pp. 1-24.

    https://hal.archives-ouvertes.fr/hal-01276808

Other Publications

References in notes
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    Solving inverse source problems using observability. Applications to the Euler-Bernoulli plate equation, in: SIAM J. Control Optim., 2009, vol. 48, no 3, pp. 1632-1659.
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    Wide Frequency Band Numerical Approaches for Multiple Scattering Problems by Disks, in: Journal of Algorithms & Computational Technologies, 2012, vol. 6, no 2, pp. 241–259.
  • 37X. Antoine, C. Geuzaine, K. Ramdani.

    Computational Methods for Multiple Scattering at High Frequency with Applications to Periodic Structures Calculations, in: Wave Propagation in Periodic Media, Progress in Computational Physics, Vol. 1, Bentham, 2010, pp. 73-107.
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    A nudging-based data assimilation method : the Back and Forth Nudging (BFN) algorithm, in: Nonlin. Proc. Geophys., 2008, vol. 15, no 305-319.
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    Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid, in: J. Math. Pures Appl. (9), 2005, vol. 84, no 11, pp. 1515–1554.

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    Regular solutions of a problem coupling a compressible fluid and an elastic structure, in: J. Math. Pures Appl. (9), 2010, vol. 94, no 4, pp. 341–365.

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    Local null controllability of a two-dimensional fluid-structure interaction problem, in: ESAIM Control Optim. Calc. Var., 2008, vol. 14, no 1, pp. 1–42.

    http://dx.doi.org/10.1051/cocv:2007031
  • 47M. Boulakia, E. Schwindt, T. Takahashi.

    Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid, in: Interfaces Free Bound., 2012, vol. 14, no 3, pp. 273–306.

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    Determination of point wave sources by pointwise observations: stability and reconstruction, in: Inverse Problems, 2000, vol. 16, no 3, pp. 723–748.
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    Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate, in: J. Math. Fluid Mech., 2005, vol. 7, no 3, pp. 368–404.

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    Variational approach for identifying a coefficient of the wave equation, in: Cubo, 2007, vol. 9, no 2, pp. 81–101.
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    Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid, in: Comm. Partial Differential Equations, 2000, vol. 25, no 5-6, pp. 1019–1042.

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    Motion of an elastic solid inside an incompressible viscous fluid, in: Arch. Ration. Mech. Anal., 2005, vol. 176, no 1, pp. 25–102.

    http://dx.doi.org/10.1007/s00205-004-0340-7
  • 53D. Coutand, S. Shkoller.

    The interaction between quasilinear elastodynamics and the Navier-Stokes equations, in: Arch. Ration. Mech. Anal., 2006, vol. 179, no 3, pp. 303–352.

    http://dx.doi.org/10.1007/s00205-005-0385-2
  • 54P. Cumsille, T. Takahashi.

    Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid, in: Czechoslovak Math. J., 2008, vol. 58(133), no 4, pp. 961–992.

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  • 56B. Desjardins, M. J. Esteban.

    On weak solutions for fluid-rigid structure interaction: compressible and incompressible models, in: Comm. Partial Differential Equations, 2000, vol. 25, no 7-8, pp. 1399–1413.

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    Existence of weak solutions for the motion of rigid bodies in a viscous fluid, in: Arch. Ration. Mech. Anal., 1999, vol. 146, no 1, pp. 59–71.

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  • 58B. Desjardins, M. J. Esteban, C. Grandmont, P. Le Tallec.

    Weak solutions for a fluid-elastic structure interaction model, in: Rev. Mat. Complut., 2001, vol. 14, no 2, pp. 523–538.
  • 59A. El Badia, T. Ha-Duong.

    Determination of point wave sources by boundary measurements, in: Inverse Problems, 2001, vol. 17, no 4, pp. 1127–1139.
  • 60M. El Bouajaji, X. Antoine, C. Geuzaine.

    Approximate Local Magnetic-to-Electric Surface Operators for Time-Harmonic Maxwell's Equations, in: Journal of Computational Physics, 2015, vol. 15, no 279, pp. 241-260.
  • 61M. El Bouajaji, B. Thierry, X. Antoine, C. Geuzaine.

    A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations, in: Journal of Computational Physics, 2015, vol. 294, no 1, pp. 38-57. [ DOI : 10.1016/j.jcp.2015.03.041 ]

    https://hal.archives-ouvertes.fr/hal-01095566
  • 62E. Feireisl.

    On the motion of rigid bodies in a viscous compressible fluid, in: Arch. Ration. Mech. Anal., 2003, vol. 167, no 4, pp. 281–308.

    http://dx.doi.org/10.1007/s00205-002-0242-5
  • 63E. Feireisl.

    On the motion of rigid bodies in a viscous incompressible fluid, in: J. Evol. Equ., 2003, vol. 3, no 3, pp. 419–441, Dedicated to Philippe Bénilan.

    http://dx.doi.org/10.1007/s00028-003-0110-1
  • 64E. Feireisl, M. Hillairet, Š. Nečasová.

    On the motion of several rigid bodies in an incompressible non-Newtonian fluid, in: Nonlinearity, 2008, vol. 21, no 6, pp. 1349–1366.

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    Local exact controllability of the Navier-Stokes system, in: J. Math. Pures Appl. (9), 2004, vol. 83, no 12, pp. 1501–1542.
  • 66E. Fridman.

    Observers and initial state recovering for a class of hyperbolic systems via Lyapunov method, in: Automatica, 2013, vol. 49, no 7, pp. 2250 - 2260.
  • 67G. P. Galdi.

    Slow motion of a body in a viscous incompressible fluid with application to particle sedimentation, in: Recent developments in partial differential equations, Quad. Mat., Dept. Math., Seconda Univ. Napoli, Caserta, 1998, vol. 2, pp. 1–35.
  • 68G. P. Galdi, A. L. Silvestre.

    Strong solutions to the problem of motion of a rigid body in a Navier-Stokes liquid under the action of prescribed forces and torques, in: Nonlinear problems in mathematical physics and related topics, I, Int. Math. Ser. (N. Y.), Kluwer/Plenum, New York, 2002, vol. 1, pp. 121–144. [ DOI : 10.1007/978-1-4615-0777-2-8 ]

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    The steady motion of a Navier-Stokes liquid around a rigid body, in: Arch. Ration. Mech. Anal., 2007, vol. 184, no 3, pp. 371–400.

    http://dx.doi.org/10.1007/s00205-006-0026-4
  • 70G. P. Galdi, A. L. Silvestre.

    On the motion of a rigid body in a Navier-Stokes liquid under the action of a time-periodic force, in: Indiana Univ. Math. J., 2009, vol. 58, no 6, pp. 2805–2842.

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  • 71O. Glass, F. Sueur.

    The movement of a solid in an incompressible perfect fluid as a geodesic flow, in: Proc. Amer. Math. Soc., 2012, vol. 140, no 6, pp. 2155–2168.

    http://dx.doi.org/10.1090/S0002-9939-2011-11219-X
  • 72C. Grandmont, Y. Maday.

    Existence for an unsteady fluid-structure interaction problem, in: M2AN Math. Model. Numer. Anal., 2000, vol. 34, no 3, pp. 609–636.

    http://dx.doi.org/10.1051/m2an:2000159
  • 73M. D. Gunzburger, H.-C. Lee, G. A. Seregin.

    Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions, in: J. Math. Fluid Mech., 2000, vol. 2, no 3, pp. 219–266.

    http://dx.doi.org/10.1007/PL00000954
  • 74G. Haine.

    Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator, in: Mathematics of Control, Signals, and Systems, 2014, vol. 26, no 3, pp. 435-462.
  • 75G. Haine, K. Ramdani.

    Reconstructing initial data using observers: error analysis of the semi-discrete and fully discrete approximations, in: Numer. Math., 2012, vol. 120, no 2, pp. 307-343.
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    On the motion and collisions of rigid bodies in an ideal fluid, in: Asymptot. Anal., 2008, vol. 56, no 3-4, pp. 125–158.
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    Exact controllability of a fluid-rigid body system, in: J. Math. Pures Appl. (9), 2007, vol. 87, no 4, pp. 408–437.

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    Iterative regularization methods for nonlinear ill-posed problems, Radon Series on Computational and Applied Mathematics, Walter de Gruyter GmbH & Co. KG, Berlin, 2008, vol. 6.
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    Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation, in: M2AN Math. Model. Numer. Anal., 2008, vol. 42, no 4, pp. 609–644.

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  • 82J. Lequeurre.

    Existence of strong solutions to a fluid-structure system, in: SIAM J. Math. Anal., 2011, vol. 43, no 1, pp. 389–410.

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    Controllability of 3D low Reynolds number swimmers, in: ESAIM Control Optim. Calc. Var., 2014, vol. 20, no 1, pp. 236–268.

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    Controllability and time optimal control for low Reynolds numbers swimmers, in: Acta Appl. Math., 2013, vol. 123, pp. 175–200.

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    Locomotion of articulated bodies in an ideal fluid: 2D model with buoyancy, circulation and collisions, in: Math. Models Methods Appl. Sci., 2010, vol. 20, no 10, pp. 1899–1940.

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    Large time behavior for a simplified N-dimensional model of fluid-solid interaction, in: Comm. Partial Differential Equations, 2005, vol. 30, no 1-3, pp. 377–417.

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    http://dx.doi.org/10.1007/s00021-003-0083-4
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    Large time behavior for a simplified 1D model of fluid-solid interaction, in: Comm. Partial Differential Equations, 2003, vol. 28, no 9-10, pp. 1705–1738.

    http://dx.doi.org/10.1081/PDE-120024530
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