Travaux en cours

  • Well-conditioned integral equations for the iterative solution of the transmission problem in acoustics, avec F. Le Louër (Göttingen)
  • OSRC-preconditioning and FMM for the 3D Helmholtz equation, avec E. Darrigrand (IRMAR, Rennes 1).

    Chapitre de livre

  • Integral Equations and Iterative Schemes for Acoustic Scattering problems, avec X.Antoine, (50 pages) à paraître 2012.

    Publications

  • Theory and numerical simulation on the exact boundary controllability of the second order Maxwell system,
    avec O. Goubet et S. Lohrengel, accepté pour publication dans Computers And Mathematics With Applications.

  • Numerical resolution of an inverse boundary value problem for the wave equation in the presence of imperfections of small volume,
    avec M.Asch et J.-B. Duval, ESAIM-COCV, DOI:10.1051/cocv/2010031 (published online: 19 february 2011).

  • Generalized combined field integral equations for the iterative solution of the Helmholtz equation in three dimensions
    avec X. Antoine
    M2AN Vol. 41 (2007), 147--167. pdf

  • Generalized CFIE for the Iterative Solution of 3-D Maxwell Equations
    Applied Mathematics Letters , Vol. 19 (2006), no. 8, 834--839. pdf

  • An Improved Surface Radiation Condition for High-Frequency Acoustic Scattering Problems
    avec X. Antoine et Y.Y. Lu
    Computer Methods in Applied Mechanics and Engineering Vol. 195 no. 33-36, 4060--4074.(2006).
    (Ces travaux ont reçu le support d'un financement PROCORE France/Hong Kong du Research Grants Council of Hong-Kong et du Consulat Général de France à Hong-Kong Projet No.: F-HK01/03T.)pdf

  • An Improved Surface Radiation Condition for Acoustic Scattering Problems in the high-frequency spectrum
    avec X. Antoine et Y.Y. Lu (City University ok Hong-Kong)
    C.R. Acad. Sci. Paris Vol. 340 (2005), no. 10, 769--774 pdf

  • Analytic Preconditioners for the Boundary Integral Solution of the Scattering of Acoustic Waves by Open Surfaces
    avec X. Antoine et A. Bendali
    Journal of Computational Acoustics "High Performance Computing for Wave Propagation" Vol. 13 (2005), no.3, 477--498.ps

  • Alternative Integral Equations for the Iterative Solution of Acoustic Scattering Problems
    avec X. Antoine
    Quaterly Journal of Mechanics and Applied Mathematics Vol. 58 (2005), no. 1, 107--128. pdf

  • Analytic Preconditioners for the Electric Field Integral Equation
    avec X. Antoine et A. Bendali
    International Journal for Numerical Methods in Engineering , Vol. 61 (2004), no. 8, 1310--1331. ps

    Proceedings

  • Combining OSRC preconditioning and Fast Multipole Method for the Helmholtz equation, avec Eric Darrigrand, Proceedings of the WAVES 2011 conference, 4 pages.

  • Numerical resolution of an inverse boundary value problem for the wave equation in the presence of imperfections of small volume, avec M. Asch et J.-B. Duval, The 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation (WAVES 2009), Juin 2009.

  • Well-conditioned integral equations for the iterative solution of 3D acoustic and electromagnetic scattering problems in the high-frequency spectrum, avec X. Antoine, Proceedings of the WAVES 2005 conference, 3 pages, INRIA, 2005.

  • Generalized Brakhage-Werner Integral Formulations for the Iterative Solution of Acoustic Scattering Problems, avec X. Antoine, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, G.Cohen, E. Heikkola, P. Joly, P. Neittaanmaki, Editors, 268--273, Springer-Verlag, 2003.

  • Study and Improvement of the Condition Number of the Electric Field Integral Equation, avec X. Antoine et A. Bendali, VII Jornadas Zaragoza-Pau de Matemática Aplicada y Esdadística (Jaca, 2001), 73--80, Monogr. Semin. Mat. García Galdeano, 27, Univ. Zaragoza, Zaragoza, 2003.

  • Study and Improvement of the Condition Number of the Electric Field Integral Equation, avec X. Antoine et A. Bendali, Proceedings of the European Symposium on Numerical Methods in Electromagnetics, 233--238, 2002.