Publications of Marc Duruflé

Preprints

Hélène Barucq, Juliette Chabassier, Marc Duruflé, Laurent Gizon and Michael Leguèbe Atmospheric Radiation Boundary Conditions for the Helmholtz Equation. to appear in ESAIM: M2AN, 2017 [PDF]
Hélène Barucq, Marc Duruflé and Mamadou N'diaye High-Order Padé and Singly Diagonally Runge-Kutta Schemes for Linear ODEs, application to Wave Propagation Problems. Numerical Methods for Partial Differential Equations, vol 34(2), pp 760-798, 2018 [PDF]
Laurent Gizon, Hélène Barucq, Marc Duruflé, Chris Hanson, Michael Leguèbe, Aaron C. Birch, Juliette Chabassier, Damien Fournier, Thorsten Hogage and Emanuele Papini Computational helioseismology in the frequency domain : acoustic waves in axisymmetric solar models with flows. Astronomy and Astrophysics, vol 600, A35, 2017 [PDF]
Marc Duruflé and Mamadou N'diaye Optimized High Order Explicit Runge-Kutta-Nyström Schemes. ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods, Springer, pp 599-612, [PDF]
Juliette Chabassier, Marc Duruflé and Victor Péron Equivalent Boundary Conditions for Acoustics Media with Exponential Densities. Application to the Atmosphere in Helioseismology. INRIA Research Report, RR-8954, 2016 [PDF]
Juliette Chabassier and Marc Duruflé High-order finite element method for solving convected Helmholtz equation in radial and axisymmetric domains. Application to Helioseismology., INRIA Research Report, RR-8893, 2016 [PDF]
Victor Péron, Kersten Schmidt and Marc Duruflé Equivalent transmission conditions for the time-harmonic Maxwell's equations in 3-D for a medium with a highly conductive thin sheet., SIAM Journal on Applied Mathematics, vol 76(3), pp 1031-1052, 2016 [PDF]
Juliette Chabassier, Marc Duruflé and Patrick Joly Time domain simulation of a piano. Part 2 : Numerical Aspects. , ESAIM: M2AN, vol 50(1), pp 93-133, 2016 [PDF]
Marc Bonnet, Aliénor Burel, Marc Duruflé and Patrick Joly Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model. , ESAIM: M2AN, vol 50(1), pp 43-75, 2016 [PDF]
Juliette Chabassier and Marc Duruflé Energy based simulation of a Timoshenko beam in non-forced rotation. Influence of the piano hammer shank flexibility on the sound. , Journal of Sound and Vibration, vol 333 (26), pp 7198-7215, 2014 [PDF]
Marc Duruflé, Victor Péron and Clair Poignard Thin layer models for electromagnetism , Communication in Computational Physics, vol 16(1), pp 213-238, 2014 [PDF]
Morgane Bergot and Marc Duruflé Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra , Communications in Computational Physics, vol 14(5), pp 1372-1414, 2013 [PDF]
Morgane Bergot and Marc Duruflé Higher-order discontinuous Galerkin method for pyramidal elements using orthogonal basis, Numerical Methods For Partial Differential Equations, vol 29(1), pp 144-169, 2013 [PDF]
Morgane Bergot and Marc Duruflé High-Order Optimal Edge Elements for Pyramids, Prisms and Hexahedra , Journal of Computational Physics, vol 232(1), pp 189-213, 2013 [PDF]
Ivan Adronov, Daniel Bouche and Marc Duruflé High-frequency diffraction of a plane electromagnetic wave by an elongated spheroid, IEEE Antennas and Propagation, vol 60(11), pp 5286-5295, 2012 [PDF]
Marc Duruflé and Samer Israwi A numerical study of variable depth KdV equations and generalizations of Camassa-Holm-like equations, Journal of Computational and Applied Mathematics, vol 236(17), pp 4149-4165, 2012 [PDF]
Marc Duruflé, Victor Péron and Clair Poignard Time-harmonic Maxwell equations in biological cells. The differential form formalism to treat the thin layer, Confluentes Mathematici, vol 3(2), pp 325-357, 2011 [PDF]
Anne-Sophie Bonnet-BenDhia, Marc Duruflé, Patrick Joly and Lauris Joubert Stability of Acoustic Propagation in a 2D Flow Duct: A Low Frequency Approach; M3AS, vol. 21(5), pp. 1121-1151, 2011 [PDF]
Morgane Bergot, Gary Cohen and Marc Duruflé Higher-Order finite elements for hybrid meshes using new nodal pyramidal elements; Journal of Scientific Computing, vol 42(3), pp 345-381, 2010 [PDF]
Nicolas Castel, Gary Cohen and Marc Duruflé Discontinuous Galerkin method for hexahedral elements and aeroacoustic ; Journal of Computational Acoustics, vol 17(2), pp 175-196, 2009 [PDF]
Marc Duruflé, Pascal Grob and Patrick Joly ; Influence of the Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain.; Numerical Methods for Partial Differential Equations, vol 25(3), pp 526-551, 2009 [PDF]
Gary Cohen and Marc Duruflé Non spurious spectral-like element methods for Maxwell's equations; Journal of Computational Mathematics, vol 25, pp 282-304, 2007 [PDF]
Marc Duruflé, Houssem Haddar and Patrick Joly; High Order Generalized Impedance Boundary Conditions in Electromagnetic Scattering Problems; C. R. Acad. Sci. Paris Ser. Physique, vol 7, pp 533-542, 2006 [PDF]
Marianne Clausel, Marc Duruflé, Patrick Joly and Sébastien Tordeux; A mathematical analysis of the resonance of the finite thin slots; Applied Numerical Mathematics, vol 56, no 10-11, pp 1432–1449, 2006 [PDF]

Thesis (in french)

Intégration numérique et éléments finis d'ordre élevé appliqués aux équations de Maxwell en régime harmonique [PDF]

Proceedings

G. Cohen and M. Duruflé; Mixed Spectral Elements for the Helmholtz Equation; Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation. Jyvaskyla, Finland. 2003, pp 743-748

Talks

Morgane Bergot and Marc Duruflé; Optimal High-Order Elements in H(curl) and H(div) for Pyramids, Prisms and Hexahedra ; Workshop Wave propagation in complex media and applications, ICOSAHOM 2012, Gammarth, Tunisia [PDF]
Morgane Bergot and Marc Duruflé; Optimal High-Order Elements in H(curl) and H(div) for Pyramids, Prisms and Hexahedra ; Workshop Wave propagation in complex media and applications, Heraklion, Crete, Greece, 2012 [PDF]
Marc Duruflé and Sébastien Impériale; High order time stepping and local time stepping for first order wave problems; University of Strasbourg, France, 2011 [PDF]
Marc Duruflé and Sébastien Impériale; High Order Time Stepping and Local Time Stepping for First Order Wave Problems; WAVES 2011, Vancouver, Canada, 2011 [PDF]
Morgane Bergot and Marc Duruflé ; High-Order Optimal Edge Elements for Pyramids, Prisms and Hexahedra; WAVES 2011, Vancouver, Canada, 2011 [PDF]
Marc Duruflé ; Efficient High-Order Finite Elements for Helmholtz Equation and Time-Harmonic Elastodynamics on Hybrid Meshes.; DIP Workshop, Pau, France, 2010 [PDF]
Marc Duruflé ; High-order Finite Element Methods on Hybrid Meshes Including Pyramids. Application to Wave Equation and Helmholtz Equation.; University of Bordeaux, France, 2010 [PDF]
Marc Duruflé ; High Order Edge Finite Element Method for Vlasov-Maxwell Equation on Hexahedral Meshes; ICOSAHOM 2009, Trondheim, Norway [PDF]
Marc Duruflé ; Éléments finis quadrilatéraux d'ordre élevé pour les équations de Vlasov-Maxwell; Canum 2008, Saint-Jean de Monts, France [PDF]
Marc Duruflé ; Numerical Integration and High Order Finite Element Method Applied to Maxwell's Equations; Sandia National Laboratories, Albuquerque, USA, 2007 [PDF]
G. Cohen and M. Duruflé ; Efficient resolution of time-harmonic Maxwell equations with high order edge finite elements ; WAVES 2007, Reading, United Kingdom [PDF]
G. Cohen and M. Duruflé ; Modes parasites pours les éléments finis d'ordre élevé appliqués aux équations de Maxwell en régime harmonique; Séminaire de l'Université de Cergy, 2007 [PDF]
M. Duruflé; Numerical integration and high-order finite element methods applied to time-harmonic Maxwell equations Soutenance de thèse, Paris Dauphine, 2006 [PDF]
M. Duruflé, H. Haddar and P. Joly; Asymptotic Models for Electromagnetism Scattering: from Strongly Absorbing Obstacles WAVES 2005, Providence, USA [PS]
M. Duruflé and G. Cohen; High-order finite element for the resolution of time-harmonic Maxwell equations WAVES 2005, Providence, USA [PDF]
M. Duruflé and G. Cohen; Elements finis spectraux en maillage hexaédrique pour l'équation de Helmholtz Atelier Melina 2005, Le Croisic, France [PDF]
M. Duruflé and G. Cohen; Comparison of Higher-Order Finite Element Methods for the 2-D Maxwell Equations in Frequency Domain ICOSAHOM 2004, Providence, USA [PDF]
M. Duruflé and G. Cohen; Mixed Spectral Elements for the Helmholtz Equation WAVES 2003, Jyvaskyla, Finland [PDF]

Technical reports (french)

Application de la technique dite de l'équation modifiée à l'équation des ondes avec des conditions absorbantes et des couches PML. [PDF]
Schéma de Talezer, application aux equations de Maxwell, comparaison a d'autres schémas. [PDF]
Modéles numériques de fil dans une méthode éléments finis d'ordre élevé. [PDF]
Application d'une méthode éléments finis d'ordre élevé aux équations de Vlasov-Maxwell en 2-D [PDF]