Mathematical Analysis of Guided Water Waves. - Anne-Sophie Bonnet-Ben Dhia; Patrick Joly (SIAM J. Appl. Math., 1993)

Absorbing Boundary Conditions for Linear Gravity Waves. - Kebir Dgaygui; Patrick Joly (SIAM J. Appl. Math., 1994)

Splitting of Operators, Alternate Directions, and Paraxial Approximations for the Three-Dimensional Wave Equation. - Francis Collino; Patrick Joly (SIAM J. Sci. Comput., 1995)

A Numerical Method for Surface Waves in a Cylindrically Perturbed Elastic Half-Space. Part 1: Construction and Analysis. - Jean Duterte; Patrick Joly (SIAM J. Appl. Math., 1999)

A Preconditioned Semi-Implicit Method for Magnetohydrodynamics Equations. - Tahar Amari; Jean-François Luciani; Patrick Joly (SIAM J. Sci. Comput., 1999)

On Transitions to Stationary States in a Maxwell-Landau-Lifschitz-Gilbert System. - Patrick Joly; Alexander Komech; Olivier Vacus (SIAM J. Math. Anal., 2000)

An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems. - Éliane Bécache; Patrick Joly; Chrysoula Tsogka (SIAM J. Numer. Anal., 2000)

8. Mathematical Analysis and Numerical Approximation of Optical Waveguides. - Anne-Sophie Bonnet-Ben Dhia; Patrick Joly (Mathematical Modeling in Optical Science, 2001)

Effective Boundary Conditions for Thin Ferromagnetic Layers: The One-Dimensional Model. - Houssem Haddar; Patrick Joly (SIAM J. Appl. Math., 2001)

Higher Order Triangular Finite Elements with Mass Lumping for the Wave Equation. - Gary Cohen; Patrick Joly; Jean E. Roberts; Nathalie Tordjman (SIAM J. Numer. Anal., 2001)

A Method for Computing Guided Waves in Integrated Optics. Part I: Mathematical Analysis. - Dolores Gómez Pedreira; Patrick Joly (SIAM J. Numer. Anal., 2001)

A Hybrid Approach for the Computation of Guided Modes in Integrated Optics. - Alfredo Bermúdez; Dolores Gómez Pedreira; Patrick Joly (Adv. Comput. Math., 2002)

A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem. - Éliane Bécache; Patrick Joly; Chrysoula Tsogka (SIAM J. Numer. Anal., 2002)

A Method for Computing Guided Waves in Integrated Optics. Part II: Numerical Approximation and Error Analysis. - Dolores Gómez Pedreira; Patrick Joly (SIAM J. Numer. Anal., 2002)

A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction. - Francis Collino; Thierry Fouquet; Patrick Joly (Numerische Mathematik, 2003)

A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis. - Francis Collino; Thierry Fouquet; Patrick Joly (Numerische Mathematik, 2003)

An Analysis of Higher Order Boundary Conditions for the Wave Equation. - Julien Diaz; Patrick Joly (SIAM J. Appl. Math., 2005)

An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation. - Patrick Joly; Jerónimo Rodríguez (SIAM J. Numer. Anal., 2005)

Régularisation de l'équation de Galbrun pour l'aéroacoustique en régime transitoire. - Anne-Sophie Bonnet-Bendhia; Kamel Berriri; Patrick Joly (ARIMA J., 2006)

Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion. - Patrick Joly; Sébastien Tordeux (Multiscale Model. Simul., 2006)

Conservative Coupling between Finite Elements and Retarded Potentials. Application to Vibroacoustics. - Pascal Grob; Patrick Joly (SIAM J. Sci. Comput., 2007)

Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. - Abdelaâziz Ezziani; Patrick Joly (J. Comput. Appl. Math., 2010)

Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study. - Patrick Joly; Jerónimo Rodríguez (J. Comput. Appl. Math., 2010)

Analysis of Acoustic Wave Propagation in a Thin Moving Fluid. - Patrick Joly; Ricardo Weder (SIAM J. Appl. Math., 2010)

Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. - Toufic Abboud; Patrick Joly; Jerónimo Rodríguez; Isabelle Terrasse (J. Comput. Phys., 2011)

Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects. - Sonia Fliss; Patrick Joly (J. Comput. Phys., 2012)

Existence of guided waves due to a lineic perturbation of a 3D periodic medium. - Bérangère Delourme; Patrick Joly; Elizaveta Vasilevskaya (Appl. Math. Lett., 2017)

Trapped modes in thin and infinite ladder like domains. Part 1: Existence results. - Bérangère Delourme; Sonia Fliss; Patrick Joly; Elizaveta Vasilevskaya (Asymptot. Anal., 2017)

Mathematical models for dispersive electromagnetic waves: An overview. - Maxence Cassier; Patrick Joly; Maryna Kachanovska (Comput. Math. Appl., 2017)

Stable perfectly matched layers for a cold plasma in a strong background magnetic field. - Éliane Bécache; Patrick Joly; Maryna Kachanovska (J. Comput. Phys., 2017)

Solving 2D Linear Isotropic Elastodynamics by Means of Scalar Potentials: A New Challenge for Finite Elements. - Jorge Albella Martínez; Sébastien Imperiale; Patrick Joly; Jerónimo Rodríguez (J. Sci. Comput., 2018)

On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. - Éliane Bécache; Patrick Joly; Valentin Vinoles (Math. Comput., 2018)

Wave propagation in fractal trees. Mathematical and numerical issues. - Patrick Joly; Maryna Kachanovska; Adrien Semin (Networks Heterog. Media, 2019)

Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. - Patrick Joly; Maryna Kachanovska (Numerische Mathematik, 2020)

Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance. - Maxence Cassier; Christophe Hazard; Patrick Joly (CoRR, 2021)

Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. - Jorge Albella Martínez; Sébastien Imperiale; Patrick Joly; Jerónimo Rodríguez (Math. Comput., 2021)

Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (I). Method and Numerical Implementation. - Patrick Joly; Maryna Kachanovska (SIAM J. Sci. Comput., 2021)

An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables. - Akram Beni Hamad; Geoffrey Beck; Sébastien Imperiale; Patrick Joly (Comput. Methods Appl. Math., 2022)

Local Transparent Boundary Conditions for Wave Propagation in Fractal Trees (II). Error and Complexity Analysis. - Patrick Joly; Maryna Kachanovska (SIAM J. Numer. Anal., 2022)

High-order numerical integration on self-affine sets. - Patrick Joly; Maryna Kachanovska; Zoïs Moitier (CoRR, 2024)