Publications
  • Papers in journals
    •

    H. Fahs, L. Fezoui, S. Lanteri and F. Rapetti
    Preliminary investigation of a non-conforming discontinuous Galerkin method for solving the time domain Maxwell equations
    IEEE Trans. Magn., Vol. 44, No. 6, pp. 1254-1257 (2008)     [pdf file - 371K] - [bibtex file]     Abstract

    H. Fahs
    Development of a hp-like discontinuous Galerkin time-domain method on non-conforming simplicial meshes for electromagnetic wave propagation
    Int. J. Numer. Anal. Mod., Vol. 6, No. 2, pp. 193-216 (2009)     [pdf file - 5.5M] - [bibtex file]     Abstract

    H. Fahs
    High-order Leap-Frog based discontinuous Galerkin method for the time-domain Maxwell equations on non-conforming simplicial meshes
    Numer. Math. Theor. Meth. Appl., Vol. 2, No. 3, pp. 275-300 (2009)     [pdf file - 2.4M] - [bibtex file]     Abstract

    H. Fahs and S. Lanteri
    A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
    J. Comput. Appl. Math., Vol. 234, No. 4, pp. 1088-1096 (2010)     [pdf file - 767K] - [bibtex file]     Abstract

    V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
    Locally implicit discontinuous Galerkin method for time domain electromagnetics
    J. Comput. Phys., Vol. 229, No. 2, pp. 512-526 (2010)     [pdf file - 1.2M] - [bibtex file]     Abstract

    H. Fahs
    Discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
    Appl. Math. Sci., Vol. 4, No. 19, pp. 943-958 (2010)     [pdf file - 2.0M] - [bibtex file]     Abstract

    H. Fahs, L. Fezoui, S. Lanteri, V. Dolean and F. Rapetti
    Recent achievements on a DGTD method for time-domain electromagnetics
    IEEE Trans. Magn., Vol. 46, No. 8, pp. 3061-3064 (2010)     [pdf file - 524K] - [bibtex file]     Abstract

    H. Fahs
    Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
    Int. J. Comput. Math., Vol. 88, No. 10, pp. 2124-2153 (2011)     [pdf file - 4.7M] - [bibtex file]     Abstract

    H. Fahs, A. Hadjem, S. Lanteri, J. Wiart and M.-F. Wong
    Calculation of the SAR induced in head tissues using a high-order DGTD method and triangulated geometrical models
    IEEE Trans. Antennas Propag., Vol. 59, No. 12, pp. 4669-4678 (2011)     [pdf file - 1.5M] - [bibtex file]     Abstract

    H. Fahs
    Investigation on polynomial integrators for time-domain electromagnetics using a high-order discontinuous Galerkin method
    Appl. Math. Model., Vol. 36, No. 11, pp. 5466-5481 (2012)     [pdf file - 3.6M] - [bibtex file]     Abstract

    H. Fahs and M. Safa
    High-order explicit time-integrators for discontinuous Galerkin discretizations of the Maxwell equations
    Int. J. Model. Simul. Sci. Comput., Vol. 4, No. 11, Art. ID. 1250029, 22-pages (2013)     [pdf file - 881K] - [bibtex file]     Abstract

    H. Fahs
    High-order discontinuous Galerkin method for time-domain electromagnetics on non-conforming hybrid meshes
    Mathematics and Computers in Simulation, Vol. 107, pp. 134-156 (2015)     [pdf file - 5.1M] - [bibtex file]     Abstract

  • Submitted papers or in preparation
    •

    H. Fahs, G. Ovarlez and X. Chateau
    A fictitious domain method for the simulation of particulate viscoplastic flows

    H. Fahs
    A fourth-order locally implicit time scheme for discontinuous Galerkin simulations in electromagnetics

  • Books
    •

    Hassan Fahs
    High-order discontinuous Galerkin methods for the Maxwell equations
    Paperback, 208 pages, April 2010, Editions Universitaires Européennes, ISBN 978-6131500206

  • Proceedings and book chapters
    •

    H. Fahs, S. Lanteri, J. Wiart and M.-F. Wong
    Calculation of the SAR induced in head tissues using a high order DGTD method and triangulated geometrical models
    in "20th Int. Symp. on Electromagnetic Theory, EMTS 2010", Berlin, pp. 547-550, 2010     [pdf file - 5.5M] - [bibtex file]

    V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
    Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics
    in "Spectral and High Order Methods for Partial Differential Equations", J.S. Hesthaven and E.M. Rønquist (eds.)
    LNCSE, Vol. 76, pp. 163-170, Springer-Verlag, 2011     [pdf file - 515K] - [bibtex file]

  • Research reports

    • INRIA research reports

    H. Fahs, S. Lanteri and F. Rapetti
    Etude de stabilité d'une méthode Galerkin discontinue pour la résolution numérique des équations de Maxwell 2D sur des maillages triangulaires non-conformes
    INRIA research report, RR-6023, July 2006

    H. Fahs, S. Lanteri and F. Rapetti
    A hp-like discontinuous Galerkin method for solving the 2D time-domain Maxwell's equations on non-conforming locally refined triangular meshes
    INRIA research report, RR-6162, February 2007

    H. Fahs
    Numerical evaluation of a non-conforming discontinuous Galerkin method on triangular meshes for solving the time-domain Maxwell equations
    INRIA research report, RR-6311, August 2007

    H. Fahs and S. Lanteri
    Convergence and stability of a high-order leap-frog based discontinuous Galerkin method for the Maxwell equations on non-conforming meshes
    INRIA research report, RR-6699, October 2008

    V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
    Locally implicit discontinuous Galerkin method for time domain electromagnetics
    INRIA research report, RR-6990, August 2009

    Contract research reports

    H. Fahs and C. Guiffaut
    Global time schemes for Maxwell's equations
    DIGATOP, No. 5798/8, pp. 56--79, 2010

    H. Fahs and C. Guiffaut
    Global time schemes for Maxwell's equations
    DIGATOP, No. 5798/12, pp. 135--179, 2011

  • Papers (peer-reviewed) in conference proceedings
    •

    H. Fahs, L. Fezoui, S. Lanteri and F. Rapetti
    Preliminary investigation of non-conforming discontinuous Galerkin methods for solving the time domain Maxwell equations
    In proc. of the 16th Int. Conf. on the Computation of Electromagnetic Fields (COMPUMAG'07)
    Aachen, Germany, pp. 269-270, 2007 (referred)

    H. Fahs, S. Lanteri and F. Rapetti
    Development of a non-conforming discontinuous Galerkin method on simplex meshes for electromagnetic wave propagation
    In proc. of the 4th Int. Conf. on Advanced Computational Methods in Engineering (ACOMEN'08)
    Editors: M. Hogge, R. Van Keer, L. Noels, L. Stainier, J.-P. Ponthot, J.-F. Remacle, E. Dick.
    Liège, Belgium, 10-pages, 2008

    H. Fahs
    A non-conforming discontinuous Galerkin method for solving Maxwell's equations
    In proc. of the 6th European Conf. on Numerical Methods in Electromagnetism (NUMELEC'08)
    Liège, Belgium, 2-pages, 2008

    H. Fahs, L. Fezoui, S. Lanteri, V. Dolean and F. Rapetti
    Recent developments on a DGTD method for time domain electromagnetics
    In proc. of the 17th Int. Conf. on the Computation of Electromagnetic Fields (COMPUMAG'09)
    Florianopolis, Brazil, pp. 338-339, 2009 (referred)

    V. Dolean, H. Fahs, L. Fezoui and S. Lanteri
    A Hybrid explicit-implicit discontinuous Galerkin method for time domain electromagnetics
    In proc. of the Int. Conf. on Spectral and High Order Methods (ICOSAHOM'09)
    Trondheim, Norway, pp. 192-193, 2009 (referred)

    F. Bouchut, R. Eymard and H. Fahs
    Coordinate free finite volume method for the shallow water system over the sphere with arbitrary grid
    In High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs
    Oberwolfach, Germany, 2013. MF Oberwolfach Reports 47/2013, pp. 2700-2701, DOI: 10.4171/OWR/2013/47