Book

    C. Bernardi, Y. Maday, F. Rapetti
    Discretisations variationnelles de problemes aux limites elliptiques
    Mathematiques & Applications, Vol. 45, n. ISBN-3-540-21369-4, Springer-Verlag, May 2004.

    Papers in mathematical journals

    Papers in electrotechnical journals

    P.-H. Tournier, M. Bonazzoli, V. Dolean, F. Rapetti, F. Hecht, F. Nataf, I. Aliferis, I. El Kanfoud, C. Migliaccio, M. de Buhan, M. Darbas, S. Semenov, C. Pichot
    Numerical modeling and high speed parallel computing: new perspectives for tomographic microwave imaging for brain stroke detection and monitoring
    in the Special Issue ''Electromagnetic Inverse Problems for Sensing and Imaging'', IEEE Antennas and Propagation Magazine, Vol. 59, Issue 5, pp. 98-110, October 2017.

    M. Bonazzoli, V. Dolean, F. Rapetti, P.-H. Tournier
    Parallel preconditioners for high order discretizations arising from full system modeling for brain microwave imaging
    Int. J. Numer. Model.: Electronic Networks, Devices and Fields, 2017, on line (see preprint arXiv:1605.04521 [math.NA]).

    A. Christophe, L. Santandrea, F. Rapetti, G. Krebs, Y. Le Bihan
    An overlapping non-matching grid mortar element method for Maxwell's equations ,
    IEEE Trans. Magn., Vol. 50, No. 2, pp. 409-412, 2014.

    F. Rapetti, G. Rousseaux
    Implications of Galilean electromagnetism in numerical modeling ,
    ACES journal, Vo. 26, No. 9, pp. 784-791, 2011.

    V. Dolean, H. Fahs, S. Lanteri, F. Rapetti,
    Recent achievements on a DGTD method for time-domain electromagnetics
    IEEE Transactions on Magnetics, Vol. 46, No. 8, pp. 3061-3064, 2010.

    H. Fahs, L. Fezoui, S. Lanteri, F. Rapetti
    Preliminary investigation of non-conforming discontinuous Galerkin methods for solving the time domain Maxwell equations
    IEEE Trans. on Magn., Vol. 44, No. 6, pp. 1254--1257, 2008.

    A. Bossavit, F. Rapetti
    Geometrical localization of the degrees of freedom for Whitney elements of higher order
    Special Issue on "Computational Electromagnetism", IEE Proc. Science, Measurement and Technology,
    Vol. 1, No. 1, pp. 63--66, 2007.

    O. J. Antunes, J. P. A. Bastos, N. Sadowski, A. Razek, L. Santandrea, F. Bouillault, F. Rapetti
    Torque calculation with conforming and non-conforming movement interface
    IEEE Transactions on Magnetics, Vol. 42, No. 4, Avril 2006.

    O. J. Antunes, J. P. A. Bastos, N. Sadowski, A. Razek, L. Santandrea, F. Bouillault, F. Rapetti
    Comparison between non-conforming movement methods
    IEEE Transactions on Magnetics, Vol. 42, No. 4, Avril 2006.

    O. J. Antunes, J. P. A. Bastos, N. Sadowski, A. Razek, L. Santandrea, F. Bouillault, F. Rapetti
    Using hierarchic interpolation with mortar and moving band methods for electrical machines analysis
    IEEE Transactions on Magnetics, Vol. 41, No. 5, pp. 1472-1475, 2005.

    B. Flemisch, Y. Maday, F. Rapetti, B. I. Wohlmuth,
    Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake
    Int. J. for Comp. and Math. in Electric and Electronic Eng., Vol. 24, No. 3, pp. 1061-1070.

    F. Rapetti, Y. Maday, F. Bouillault, A. Razek
    Eddy current calculations in three-dimensional moving structures
    IEEE Transactions on Magnetics, Vol. 38, No. 2, pp. 613-616, 2002.

    F. Rapetti, F. Bouillault, L. Santandrea, A. Buffa, Y. Maday, A. Razek
    Calculation of eddy currents with edge elements on non-matching grids in moving structures
    IEEE Transactions on Magnetics, Vol. 36, No. 4, pp. 1351-1355, 2000.

    A. Buffa, Y. Maday, F. Rapetti
    Calculation of eddy currents in moving structures by a sliding mesh-finite element method
    IEEE Transactions on Magnetics, Vol. 36, No. 4, pp. 1356-1359, 2000.

    F. Rapetti, A. Buffa, F. Bouillault, Y. Maday
    Simulation of a coupled magneto-mechanical system through the sliding-mesh mortar element method
    Int. J. for Comp. and Math. in Electric and Electronic Eng., Vol. 19, No. 2, pp. 332-340, 2000.

    F. Rapetti, L. Santandrea, F. Bouillault, A. Razek
    Calculation of eddy currents in moving structures using a finite element method on non-matching grids
    Int. J. for Comp. and Math. in Electric and Electronic Eng., Vol.19, No.1, pp.10-29, 2000.

    L. Pisani, F. Rapetti, C. Vittoli
    A Kirchhoff's integral approach for decimetric radiowave propagation in urban areas
    Appl. Comp. Electromagnetics Soc. Journal, Vol. 13, No. 1, pp. 63-70, 1998.

    F. Rapetti
    The mortar edge element method on non-matching grids for eddy current calculations in moving structures
    Int. J. Num. Mod.: Electronic Networks, Devices and Fields, Vol. 14, No. 6, pp. 457-477, 2001.

    C.R.A.S.

    F. Rapetti
    Weight computation for simplicial Whitney forms of degree one
    C. R. Acad. Sci. Paris, Ser. I, 341, Issue 8, pp. 519-523, 2005.

    G. Loeper, F. Rapetti
    Numerical solution of the Monge-Ampère equation by a Newton's algorithm
    C. R. Acad. Sci. Paris, Ser. I, 340, Issue 4, pp. 319-324, 2005.

    Y. Maday, F. Rapetti, B. Wohlmuth
    Coupling between scalar and vector potentials by the mortar element method
    C. R. Acad. Sci. Paris, Ser. I 334, pp. 933-938, 2002.

    F. Rapetti, F. Dubois, A. Bossavit
    Integer matrix factorization for mesh defects detection
    C. R. Acad. Sci. Paris, Ser. I 334, pp. 717-720, 2002.

    LNCSE proceedings and book chapters in applied maths

    A. Buffa, Y. Maday, F. Rapetti
    The mortar element method for 3D Maxwell's equations : analysis and application to magnetodynamics
    in ``Domain Decomposition Methods in Science and Engineering'',
    procs. 12th Int. Conf. on Domain Decomposition Methods, Chiba, Japan,
    eds. T. Chan, T. Kako, H. Kawarada, O. Pironneau, ddm.org publications, pp. 259-270, 2001.

    Y. Maday, F. Rapetti, B. I. Wohlmuth
    The influence of quadrature formula in 2D and 3D mortar methods
    in ``Recent Developments in Domain Decomposition Methods'', L. F. Pavarino and A. Toselli Editors
    LNCSE Vol. 23, pp. 203-221, Springer-Verlag, 2004.

    A. Buffa, Y. Maday, F. Rapetti
    Applications of the mortar element method to 3D electromagnetic moving structures
    in ``Computational Electromagnetics'', C. Carstensen et al. Editors
    LNCSE Vol. 28, pp. 35-50, Springer-Verlag, 2003.

    Y. Maday, F. Rapetti, B. I. Wohlmuth
    Mortar element coupling between global scalar and local vector potentials to solve eddy current problems
    in ``Numerical mathematics and advanced applications'', Enumath 2001 proc.,
    Brezzi F., Buffa A., Corsaro S., Murli A. eds., Springer-Verlag Italy (Milan) pp. 847-865, 2003.
    See also Part I, Technical Report N. 02009, Lab. J.-L. Lions, Paris 6 University.

    R. Pasquetti, L. F. Pavarino, F. Rapetti, E. Zampieri
    Overlapping Schwarz preconditioners for Fekete spectral elements
    in ''Domain Decomposition Methods in Science and Engineering'', O.B. Widlund and D. Keyes Editors,
    LNCSE Vol. 55, pp. 717-724, Springer-Verlag, 2006.

    V. Dolean, R. Pasquetti, F. Rapetti
    p-Multigrid for Fekete spectral element method
    in ''Domain Decomposition Methods in Science and Engineering'',
    LNCSE Vol. 60, pp. 485-492, Springer-Verlag, 2007.

    I. Mazzieri, C. Smerzini, P. E. Antonietti, F. Rapetti, M. Stupazzini, R. Paolucci, A. Quarteroni
    Non-conforming spectral approximations for the elastic wave equation in heterogeneous media
    Compdyn 2011 procs., Eccomas thematic conf. on Comput. Meth. in Structural and Earthquake Engng.,
    M. Papadrakakis, N.D. Lagaros, M. Fragiadakis eds., Corfu, Greece, 26-28 May, 2011.

    R. Pasquetti, F. Rapetti
    Spectral element methods on simplicial meshes
    in ``Spectral and high order methods for PDEs'', M. Azaiez, H. El Fekihand, J.S. Hestaven eds.,
    ICOSAHOM 12 procs., LNCSE Vol. 95, pp. 37-55, Springer-Verlag, 2014.

    P. E. Antonietti, I. Mazzieri, A. Quarteroni, F. Rapetti
    High order space-time discretization for elastic wave propagation problems
    in ``Spectral and high order methods for PDEs'', M. Azaiez, H. El Fekihand, J.S. Hestaven eds.,
    ICOSAHOM 12 procs., LNCSE Vol. 95, pp. 87-97, Springer-Verlag, 2014.

    A. Bossavit, F. Rapetti
    Whitney elements, from Manifolds to Fields
    in ``Spectral and high order methods for PDEs'', M. Azaiez, H. El Fekihand, J.S. Hestaven eds.,
    ICOSAHOM 12 procs., LNCSE Vol. 95, pp. 179-189, Springer-Verlag, 2014.

    A. Christophe, F. Rapetti, L. Santandrea, G. Krebs, Y. Le Bihan
    Mortar FEs on overlapping subdomains for eddy current non destructive testing
    Enumath 2013 procs., LNCSE Vol. 103, pp. 785-793, Springer-Verlag, 2014.

    M. Bonazzoli, E. Gaburro, V. Dolean, F. Rapetti
    High order edge finite element approximations for the time-harmonic Maxwell's equations
    2014 IEEE Conference on Antenna Measurements and Applications (CAMA), pp. 1-4.

    I. El Kanfoud, V. Dolean, C. Migliaccio, J. Lanteri, I. Aliferis, C. Pichot, P.-H. Tournier, F. Nataf, F. Hecht, S. Semenov, M. Bonazzoli, F. Rapetti, R. Pasquetti, M. de Buhan, M. Kray, M. Darbas
    Whole-Microwave System Modeling for Brain Imaging
    2015 IEEE Conference on Antenna Measurements and Applications (CAMA), pp. 1-4.

    M. Bonazzoli, V. Dolean, R. Pasquetti, F. Rapetti
    Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations
    in Lee CO. et al. eds., Domain Decomposition Methods in Science and Engineering XXIII, LNCSE Vol. 116, p. 117-124, Springer, 2017, hal-01250761.

    H. Heumann, F. Rapetti, M. D. Truong
    FEMs on composite meshes for plasma equilibrium simulations in tokamaks
    19th European Conference on Mathematics for Industry (ECMI 2016), Santiago-de-Compostela Spain, Mathematics in Industry, hal-01397386.

    M. Bonazzoli, F. Rapetti, P.-H. Tournier, C. Venturini
    High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion
    in ``Spectral and High Order Methods for PDEs'', M. Bittencourt, N. Dumont, J.S. Hesthaven eds.,
    ICOSAHOM 2016 procs., LNCSE Vol. 119, pp. 215-227, Springer-Verlag, 2017.