Articles soumis ou en préparation

  • Numerical resolution of the Electrical Impedance Tomography inverse problem with fixed inclusions,
    avec R. Mendoza, A. Velasco, soumis.
  • Sensitivity analysis of the Complete Electrode Model for Electrical Impedance Tomography,
    avec J. Heleine, R. Mendoza, A. Velasco, en révision.

    Publications

  • Analytical preconditioners for Neumann elastodynamic Boundary Element Methods,
    avec S. Chaillat, F. Le Louër, SN Partial Differential Equations and Applications, 2(22) (2021).

  • An introduction to operator preconditioning for the fast iterative integral equation solution of time-harmonic scattering problems,
    avec X. Antoine, Multiscale Science and Engineering, 3(1) (2021), 1-35.

  • Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equation,
    avec J. Heleine, S. Lohrengel, Inverse Problems and Imaging, 14(6) (2020), 1107-1133.

  • Comparative Study of Heuristic Algorithms for Electrical Impedance Tomography,
    avec A.C. Velasco, M.G. Bacon, J. Cedrick de Leon, R.G. Mendoza, Philippine Journal of Science, 149(3-a) (2020), 747-772.

  • Non-overlapping domain decomposition algorithm for 2D time-harmonic elastic wave problems,
    avec C. Geuzaine, V. Mattesi, Journal of Computational Physics, 401 (2020), 109050.

  • Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency,
    avec J. Heleine, S. Lohrengel, Inverse Problems in Science and Engineering, 28(4) (2020), 459-496.

  • Microwave imaging of cerebrovascular accidents by using High Performance Computing,
    avec P.H. Tournier, I. Aliferis, M. Bonazzoli, M. de Buhan, V. Dolean, F. Hecht, P. Jolivet, I. El Kanfoud, C. Migliaccio, F. Nataf, C. Pichot, Parallel Computing, 85 (2019), 88-97.

  • An inverse dipole source problem in inhomogeneous media: application to the EEG source localization in neonates,
    avec M.Diallo, A. El Badia, S. Lohrengel, Journal of Inverse and Ill-Posed Problems, 27(2) (2019), 255-282.

  • Review of mathematical modeling of electroencephalography (EEG),
    avec S. Lohrengel, Jahresbericht der Deutschen Mathematiker-Vereinigung, 121(1) (2019), 3-39.

  • A high-order absorbing boundary condition for 2D time-harmonic elastodynamic scattering problems,
    avec C. Geuzaine, V. Mattesi, Computers And Mathematics With Applications, 77(6) (2019), 1703-1721.

  • EEG in neonates: forward modeling and sensitivity analysis with respect to variations of the conductivity,
    avec H. Azizollahi, M.Diallo, A. El Badia, S. Lohrengel, Mathematical Biosciences and Engineering, 15(4) (2018), 905-932.

  • Numerical resolution of an electromagnetic inverse medium problem at fixed frequency,
    avec M. de Buhan, Computers And Mathematics With Applications, 74 (2017), 3111-3128.

  • Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics,
    avec S. Chaillat, F. Le Louër, Journal of Computational Physics, 341 (2017), 429-446.

  • Numerical Modeling and High Speed Parallel Computing: New Perspectives for Tomographic Microwave Imaging for Brain Stroke Detection and Monitoring,
    avec P.H. Tournier, M. Bonazzoli, V. Dolean, F. Rapetti, F. Hecht, F. Nataf, I. Aliferis, I. El Kanfoud, C. Migliaccio, M. de Buhan, S. Semenov, C. Pichot, IEEE Antennas and Propagation magazine, 59(5) (2017), 98-110.

  • Approximate local Dirichlet-to-Neumann map for three-dimensional elastic waves,
    avec S. Chaillat, F. Le Louër, Computer Methods in Applied Mechanics and Engineering, 297 (2015), 62-83 .

  • Well-conditioned boundary integral formulations for high-frequency elastic scattering problems in three dimensions,
    avec F. Le Louër, Mathematical Methods in the Applied Sciences, 38 (2015), 1705-1733.

  • Numerical reconstruction of small perturbations in the electromagnetic coefficients of a dielectric material,
    avec S. Lohrengel, Journal of Computational Mathematics, 32 (2014), 21--38.

  • Combining analytic preconditioner and Fast Multipole Method for the 3D Helmholtz equation,
    avec E. Darrigrand, Y. Lafranche, Journal of Computational Physics, 236 (2013), 289--316.

  • Theory and numerical simulation on the exact boundary controllability of the second order Maxwell system,
    avec O. Goubet, S. Lohrengel, Computers And Mathematics With Applications, 63 (2012), no 7, 1212-1237.

  • Numerical resolution of an inverse boundary value problem for the wave equation in the presence of imperfections of small volume,
    avec M.Asch, J.-B. Duval, ESAIM-COCV, 17(4) (2011), 1016-1034.

  • 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 , 19(8) (2006), 834-839. pdf

  • An Improved Surface Radiation Condition for High-Frequency Acoustic Scattering Problems
    avec X. Antoine, Y.Y. Lu, Computer Methods in Applied Mechanics and Engineering 195(33-36) (2006), 4060--4074.

  • An Improved Surface Radiation Condition for Acoustic Scattering Problems in the high-frequency spectrum
    avec X. Antoine, Y.Y. Lu, C.R. Acad. Sci. Paris, 340(10) (2005), 769-774

  • Analytic Preconditioners for the Boundary Integral Solution of the Scattering of Acoustic Waves by Open Surfaces
    avec X. Antoine, A. Bendali, Journal of Computational Acoustics "High Performance Computing for Wave Propagation", 13(3) (2005), 477-498.

  • Alternative Integral Equations for the Iterative Solution of Acoustic Scattering Problems
    avec X. Antoine, Quaterly Journal of Mechanics and Applied Mathematics, 58(1) (2005), 107-128.

  • Analytic Preconditioners for the Electric Field Integral Equation
    avec X. Antoine, A. Bendali, International Journal for Numerical Methods in Engineering, 61(8) (2004), 1310-1331.

    Proceedings

  • Numerical resolution of the Electrical Impedance Tomography inverse problem with fixed inclusions, avec A. Velasco, R. Mendoza, MathTech 2020, Universiti Sains Malaysia (2020), 8 pages.

  • Fast iterative BEM for high-frequency scattering problems in 3D elastodynamics, avec S. Chaillat, F. Le Louër, Mathematisches Forschungsinstitut Oberwolfach, Report No. 5/2020, Boundary Element Methods (2020).

  • Analytic preconditioners for 3D high-frequency elastic scattering problems, avec S. Chaillat, F. Le Louër, WAVES’19, Vienne, août 2019.

  • Transmission conditions for non-overlapping Schwarz Domain Decomposition Methods applied to time-harmonic elastic waves, avec C. Geuzaine, V. Mattesi, WAVES’17, Minneapolis, mai 2017.

  • Analytic preconditioners for 3D high-frequency elastic scattering problems, avec S. Chaillat, F. Le Louër, Mathematisches For- schungsinstitut Oberwolfach, Report No. 50/2016, Mini-Workshop : Fast Solvers for Highly Oscillatory Problems (2016).

  • A well-conditioned Fast Multipole Boundary Element Method for in 3D-Elastodynamics, avec S. Chaillat, F. Le Louër, WAVES, Karlsruhe, Juillet 2015.

  • A well-conditioned Fast Multipole BEM for in 3D-Elastodynamics in the Frequency Domain, avec S. Chaillat, F. Le Louër, SIAM on the Geosciences, Palo Alto, USA, Juillet 2015.

  • A new analytic preconditioner for the iterative solution of Dirichlet exterior scattering problems in 3D-elasticity, avec S. Chaillat, F. Le Louër, 11th WCCM, Barcelone, 21-15 juillet 2014.

  • Eddy current interaction between a probe coil and a conducting plate, avec E. Demaldent, O. Goubet, V. Real, Second ECCOMAS Young Investigations Conference, 4 pages, Bordeaux, septembre 2013.

  • Combining Analytic Preconditioner and Fast Multipole Method for the 3-D Helmholtz equation, avec E. Darrigrand, Y. Lafranche, WAVES'13, 2 pages, INRIA-INIT.

  • Combining OSRC preconditioning and Fast Multipole Method for high-frequency scattering problems, avec E. Darrigrand, ECCOMAS 2012, 2 pages, Université de Vienne, septembre 2012.

  • Combining OSRC preconditioning and Fast Multipole Method for high-frequency scattering problems, avec E. Darrigrand, NUMELEC 2012, Marseille, juillet 2012.

  • Combining OSRC preconditioning and Fast Multipole Method for the Helmholtz equation, avec E. 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, 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, 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, A. Bendali, Proceedings of the European Symposium on Numerical Methods in Electromagnetics, 233--238, 2002.