Publications by the researcher in collaboration with Patrick Joly (17)

2021

  1. NUMERICAL ANALYSIS OF A METHOD FOR SOLVING 2D LINEAR ISOTROPIC ELASTODYNAMICS WITH TRACTION FREE BOUNDARY CONDITION USING POTENTIALS AND FINITE ELEMENTS

    Mathematics of Computation, Vol. 90, Núm. 330, pp. 1589-1636

2018

  1. Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements

    Journal of Scientific Computing, Vol. 77, Núm. 3, pp. 1832-1873

2017

  1. Mathematical aspects of variational boundary integral equations for time dependent wave propagation

    Journal of Integral Equations and Applications, Vol. 29, Núm. 1, pp. 137-187

2015

  1. Integral equations for 1D transient wave propagation

    Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics

2011

  1. Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains

    Journal of Computational Physics, Vol. 230, Núm. 15, pp. 5877-5907

2010

  1. Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study

    Journal of Computational and Applied Mathematics

2008

  1. Space time mesh refinement methods

    Effective Computational Methods for Wave Propagation (CRC Press), pp. 385-424

2005

  1. An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave Equation

    SIAM Journal on Numerical Analysis, Vol. 43, Núm. 2, pp. 825-859

  2. Space-time mesh refinement for elastodynamics. Numerical results

    Computer Methods in Applied Mechanics and Engineering, Vol. 194, Núm. 2-5 SPEC. ISS., pp. 355-366

2004

  1. A new space-time mesh refinement method for elastodynamics

    ECCOMAS 2004 - European Congress on Computational Methods in Applied Sciences and Engineering

2002

  1. A hybrid approach for the computation of guided modes in integrated optics

    Advances in Computational Mathematics, Vol. 16, Núm. 2-3, pp. 229-261

  2. A method for computing guided waves in integrated optics. Part I: Mathematical analysis

    SIAM Journal on Numerical Analysis, Vol. 39, Núm. 2, pp. 596-623

2001

  1. A method for computing guided waves in integrated optics. Part II: Numerical approximation and error analysis

    SIAM Journal on Numerical Analysis, Vol. 39, Núm. 5, pp. 1684-1711

2000

  1. Mathematical Analysis of a Method to Compute Guided Waves in Integrated Optics

    INRIA

  2. Mathematical and Numerical Aspects of Wave Propagation : Fifth international conference on mathematical and numerical aspects of wave propagation

    SIAM

1998

  1. Mathematical analysis and numerical validation of a new method to compute guided modes in open stratified waveguides

    Mathematical and Numerical Aspects of Wave Propagation: Proceedings in Applied Mathematics Series (Society for Industrial and Applied Mathematics), pp. 612-614

1995

  1. A method to compute guided modes in open stratified waveguides

    Third International Conference on Mathematical and Numerical Aspects of Wave Propagation