Publications

Papers in peer-reviewed journals

2016

• Construction and analysis of an adapted spectral finite element method to convective acoustic equations
  Andreas Hüppe, Gary Cohen, Sébastien Imperiale and Manfred Kaltenbacher
  Communications in Computational Physics, Global Science Press, jun, 2016   

2013

• Stability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation
  Hiu Ning Chang, Eric T. Chung and Gary Cohen
  Int. Journal of Num. Analysis and Modeling, vol. 10 (1), pp. 233-256, 2013   

2012

• Perfectly matched layer with mixed spectral elements for the propagation of linearized water waves.
  Gary Cohen and Sébastien Imperiale
  Commun. Comput. Phys., vol. 11(2), pp. 285-302, 2012   

2010

• Higher-Order Finite Element for Hybrid Meshes Using New Nodal Pyramidal Elements
  Morgane Bergot, Gary Cohen and Marc Duruflé
  Journal of Scientific Computing, vol. 42, pp. 345-381, nov, 2010    [ ]   

2009

• Application of Discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic
  Nicolas Castel, Gary Cohen and Marc Duruflé
  Journal of Computational Acoustics, vol. 17 (2), pp. 175--196, 2009   

2008

• Spectral Elements for the Integral Equations of Time-Harmonic Maxwell Problems
  Édouard Demaldent, David Levadoux and Gary Cohen
  IEEE Transactions on Antennas and Propagation, vol. 56 (9), pp. 3001-3010, 2008   

2007

• Mixed Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain
  Gary Cohen and Pascal Grob
  SIAM journal on Scientific Computing, vol. 29(3), pp. 986-1005, 2007   
• Non spurious spectral-like element methods for Maxwell's equations
  Gary Cohen and Marc Duruflé
  Journal of Computational Mathematics, vol. 25, pp. 282-304, 2007   

2006

• A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
  Gary Cohen, Xavier Ferrieres and Sébastien Pernet
  Journal of Computational Physics, vol. 217(2), pp. 340-363, 2006   
• Discontinuous Galerkin methods for Maxwell's equations in the time domain
  Gary Cohen, Xavier Ferrieres and Sébastien Pernet
  Comptes Rendus Physique, vol. 7, pp. 494-500, 2006   

2005

• High Spatial Order Finite Element Method to Solve Maxwell's Equations in Time Domain
  Sébastien Pernet, Xavier Ferrieres and Gary Cohen
  IEEE Trans on Antennas and Propagation, vol. 53 (9), pp. 2889 - 2899, 2005   
• Mixed spectral finite elements for the linear elasticity system in unbounded domains
  Gary Cohen and Sandrine Fauqueux
  SIAM journal on Scientific Computing, vol. 26 (3), pp. 864-884, 2005   

2001

• Higher order triangular finite elements with mass lumping for the wave equation.
  Gary Cohen, Patrick Joly, Jean E. Roberts and Nathalie Tordjman
  SIAM J. Numer. Anal., vol. 38(6), pp. 2047-2078, 2001   

2000

• Mixed finite elements with mass-lumping for the transient wave equation
  Gary Cohen and Sandrine Fauqueux
  Journal of Computational Acoustics, vol. 8 (1), pp. 171-188, 2000   

1999

• Mur-Nédélec finite element schemes for Maxwell's equations
  Gary Cohen and Peter Monk
  Computer Methods in Applied Mechanics and Engineering, vol. 169 (3), pp. 197-217, 1999   

1998

• Gauss point mass lumping schemes for Maxwell's equations
  Gary Cohen and Peter Monk
  NMPDE Journal, vol. 14, pp. 63-88, 1998   

1996

• Construction analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media.
  Gary Cohen and Patrick Joly
  SIAM J. Numer. Anal., vol. 33, no. 4, pp. 1266--1302, 1996   

1994

• Higher-order finite elements with mass-lumping for the 1D wave equation.
  Gary Cohen, Patrick Joly and Nathalie Tordjman
  Finite Elem. Anal. Des., vol. 16, no. 3-4, pp. 329--336, 1994   

1990

• Fourth order schemes for the heterogeneous acoustics equation
  Gary Cohen and Patrick Joly
  Comput. Methods Appl. Mech. Engrg., vol. 80, 1-3, pp. 397--407, 1990   

Books

2017

• Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
  Gary Cohen and Sébastien Pernet
  Springer, 2017   

2001

• Higher-Order Numerical Methods for Transient Wave Equations
  Gary Cohen
  Springer-Verlag, 2001   

Chapter

2008

• Different Types of Finite Elements, "Computational Acoustics of Noise Propagation in Fluids"
  Gary Cohen, Andreas Hauck, Manfred Kaltenbacher and Toru Otsuru
  pp. 57-88, Springer-Verlag, 2008   

International conference with proceedings

2005

• A Discontinuous Galerkin Method with Qr spectral elements for aeroacoustics
  Nicolas Castel and Gary Cohen
  7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05), Brow University(USA), 2005, 2005   

Conferences without proceedings

2005

• Comparison of Higher-Order Finite Element Methods for the 2-D Maxwell's Equations in Frequency Domain
  Marc Duruflé and Gary Cohen
  Waves2005, Brown University, Providence(USA), 2005   
• Mixed Higher Order Spectral Elements for Vibroacoustics in Time Domain
  Gary Cohen and Pascal Grob
  Waves2005, Brown University, Providence(USA), 2005