UMA Home page for Patrick Joly
Publications
Papers in peer-reviewed journals
2023
- Wave propagation in one-dimensional quasiperiodic media
, and
COT, apr, 2023
2022
- Local transparent boundary conditions for wave propagation in fractal trees (ii). Error and complexity analysis
and
SINUM, 2022 - Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance
, and
Communication in Partial Differential Equations, vol. 47 (6), pp. 1217-1295, 2022 
2021
- A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity
, and
Pure and Applied Analysis, vol. 3-3, pp. 487--526, 2021
- Local transparent boundary conditions for wave propagation in fractal trees (I). Method and numerical implementation.
and
SIAM Journal on Scientific Computing, 2021
2020
- Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation
, and
ESAIM M2AN, vol. 54, pp. 775-810, 2020 [
] - Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach
and
Numerische Mathematik, sep, 2020 [ ]
2019
- Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application
, , and
Asymptotic analysis, nov, 2019 [ ] - Wave propagation in fractal trees. Mathematical and numerical issues
, and
Networks and Heterogeneous Media, vol. 14, pp. 205-264, jun, 2019
2018
- On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials
, and
Mathematics of Computations, vol. 87, pp. 2775--2810, nov, 2018 
- Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements
, , and
Journal of Scientific Computing, Springer Verlag, 2018 - Well-posedness of a generalized time-harmonic transport equation for acoustics in flow
, and
Mathematical Methods in the Applied Sciences, 2018 [ ]
2017
- Mathematical models for dispersive electromagnetic waves: An overview
, and
Computers and Mathematics with Applications, vol. 74 (11), pp. 2792-2830, Elsevier, 2017 - Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform.
, and
Commun. Part. Diff. Eq., vol. 42 (11), pp. 1707-1748, 2017 - Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field
, and
Journal of Computational Physics, vol. 341, pp. 76-101, jul, 2017 - Trapped modes in thin and infinite ladder like domains. Part1: Existence results
, , and
Asymptotic Analysis, vol. 103(3), pp. 103-134, jun, 2017
2016
- Effective Transmission Conditions for Thin-Layer Transmission Problems in Elastodynamics. The Case of a Planar Layer Model
, , and
ESAIM: Math. Model. Numer. Anal, vol. 50, pp. 43-75, 2016 [ ] - Mathematical Aspects of variational boundary integral equations for time dependent wave propagation
and
Journal of Integral Equations and Applications, Rocky Mountain Mathematics Consortium, 2016 - Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition
and
Archive for rational mechanics and analysis, vol. 219(1), pp. 349-386, jan, 2016 [ ]
2015
- Mathematical modelling of multi conductor cables
, and
Discrete and Continuous Dynamical Systems - Series S (DCDS-S), vol. 8, 3, pp. 521-546, jun, 2015 - Perfectly matched layers in negative index metamaterials and plasmas
, , and
ESAIM: Proceedings and Surveys, vol. 50, pp. 113-132, EDP Sciences, mar, 2015 - Time Domain Simulation of a Piano. Part 2 : Numerical Aspects
, and
ESAIM: Mathematical Modelling and Numerical Analysis, 2015
2014
- Asymptotic analysis for acoustics in viscous gases close to rigid walls.
, and
Math. Models Meth. Appl. Sci., vol. 24(9), pp. 1823–1855, 2014 - Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section
and
Applied Numerical Mathematics, vol. 79, pp. 42-61, 2014 - Quasi-local transmission conditions for non-overlapping domain decomposition methods for the Helmholtz equation
, , and
Comptes Rendus Physique, vol. 15,5, pp. 403 - 414, 2014
2013
- Modeling and simulation of a grand piano
, and
Journal of the Acoustical Society of America, vol. 1 (1), pp. 666-685, jul, 2013 - On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems
, and
Mathematical Models and Methods in Applied Sciences, vol. 13 (23), pp. 2433-2464, 2013 [ ] - Time domain simulation of a piano. Part 1 : Model description
, and
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 05, pp. 1241-1278, nov, 2013
2012
- A low frequency model for acoustic propagation in a 2D flow duct: numerical computation
and
Communications in Computational Physics, vol. 11(2), pp. 508-524, 2012 - An elementary introduction to the construction and the analysis of Perfectly Matched Layers for time domain wave propagation
SeMA Journal, vol. 57, pp. 5-48, 2012 - Approximate models for wave propagation across thin periodic interfaces
, and
Journal de Mathématiques Pures et Appliquées, vol. 98 (1), pp. 28-71, 2012 [ ] - Error estimates for 1D asynptotic models in coaxial cables with heterogeneous cross section
and
Advances in Applied Mathematics and Mechanics, vol. 4 (12), pp. 647-664, dec, 2012 - Mathematical and numerical modelling of piezoelectric sensors
and
M2AN Math. Model. Numer. Anal, pp. 875-909, 2012 - Operator Factorization for Multiple-Scattering Problems and an Application to Periodic Media
and
Communications in Computational Physics, vol. 11(2), pp. 303-318, 2012 - Solving the Homogeneous Isotropic Linear Elastodynamics Equations Using Potentials and Finite Elements. The Case of the Rigid Boundary Condition
, and
Numerical Analysis and Applications, vol. 5, pp. 136-143, jun, 2012 - Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects
and
Journal of Computational Physics, vol. 231(4), pp. 1244-1271, feb, 2012
2011
- Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains
, , and
J. Comput. Phys., vol. 230, 15, pp. 58775907, 2011 - Mathematical and numerical modelling of wave propagation in fractal trees
and
Note aux comptes rendus de lAcadémie des Sciences, Série I, 2011 - Stability of Acoustic Propagation in a 2D Flow Duct: A Low Frequency Approach
, , and
M3AS, vol. 21(5), pp. 1121-1151, 2011
2010
- Analysis of Acoustic Wave Propagation in a Thin Moving Fluid
and
SIAM Journal of Applied Mathematics, vol. 70, pp. 2449-2472, 2010 - Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: Application to the vibrating piano string
and
Computer Methods in Applied Mechanics and Engineering, vol. 199, pp. 2779-2795, nov, 2010 [ ]
2009
- Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
and
Applied Numerical Mathematics, vol. 59 (9), pp. 2155-2178, sep, 2009 - Influence of the Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
, and
Numerical Methods for Partial Differential Equations, vol. 25 (3), pp. 526--551, 2009 - Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study
and
Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1953-1961, sep, 2009 - Space-time mesh refinement for discontunuous Galerkin methods for symmetric hyperbolic systems
and
Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1886-1895, 2009
2008
- Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots
and
ESAIM: proceedings, vol. 25, pp. 44-67, dec, 2008 - Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell's equations
, and
Mathematical Models and Methods in Applied Sciences, vol. 18, 10, pp. 1787--1827, oct, 2008 - Higher order time stepping for second order hyperbolic problems and optimal CFL conditions
and
Partial Differential Equations : Modeling and Numerical Simulation, vol. 16, pp. 67--93, Springer, 2008 - Matching of asymptotic expansions for waves propagation in media with thin slots. II. The error estimates
and
M2AN, Math. Model. Numer. Anal., vol. 42 (2), pp. 193--221, 2008
2007
- Conservative coupling between finite elements and retarded potentials. Application to vibroacoustics
and
SIAM journal on Scientific Computing, vol. 29(3), pp. 1127-1159, 2007
2006
- A mathematical analysis of the resonance of the finite thin slots
, , and
Applied Numerical Mathematics, vol. 56, 10-11, pp. 1432--1449, 2006 - A time domain analysis of PML models in acoustics
and
Computer Methods in Applied Mechanics and Engineering, vol. 195, 29-32, pp. 3820--3853, 2006 - Ameliorer la guitare acoustique
, and
Dossiers Pour la Science, vol. 52, pp. 74-75, may, 2006 - Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
and
M2AN Math. Model. Numer. Anal, vol. 40 (1), pp. 63-97, 2006 - Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
, and
Journal of Computational Physics, vol. 211(1), pp. 9-35, 2006 - Exact boundary conditions for periodic waveguides containing a local perturbation
, and
Communications in Computational Physics, vol. 1(6), pp. 945-973, 2006 - High order generalized impedance boundary conditions in electromagnetic scattering problems
, and
Comptes Rendus de l'Academie des Sciences de Paris Serie Physique, vol. 7 (5), pp. 533-542, jun, 2006 - Le son des timbales
, and
Dossiers Pour la Science, vol. 52, pp. 66-72, may, 2006 - Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion
and
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 5 (1), pp. 304--336, 2006 - Régularisation de l'équation de Galbrun pour l'aéroacoustique en régime transitoire
, et
Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, vol. 5, pp. 65-79, numéro spécial TAM TAM'05, nov 2006
2005
- A DUAL-PRIMAL COUPLING TECHNIQUE WITH LOCAL TIME STEP FOR WAVE PROPAGATION PROBLEMS
, and
ECCOMAS Thematic Conference, COUPLED PROBLEMS, 2005 - An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the 1D Wave Equation
and
SIAM Journal on Numerical Analysis, vol. 43, pp. 825-859, 2005 - An analysis of higher order boundary conditions for the wave equation.
and
SIAM J. Appl. Math., vol. 65 (5), pp. 1547--1575, 2005 - An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation
, and
Numerical Methods for Partial Differential Equations, vol. 21 (2), pp. 323 - 348, 2005 - Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case.
, and
Math. Models Methods Appl. Sci., vol. 15 (8), pp. 1273--1300, 2005 - Numerical simulation of a guitar
, , and
Computers and structures, vol. 83 (2-3), pp. 107-126, 2005 - Robust high order non-conforming finite element formulation for time domain fluid-structure interaction.
and
J. Comput. Acoust., vol. 13 (3), pp. 403--431, 2005 - Space-time mesh refinement for elastodynamics. Numerical results
, and
Comput. Methods Appl. Mech. Engrg., vol. 194, pp. 355-366, feb, 2005
2004
- A mixed finite element approach for viscoelastic wave propagation.
, and
Computational Geosciences, vol. 8(3), pp. 255-299, 2004
2003
- A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction.
, and
Numerische Mathematik, vol. 95(2), pp. 197-221, aug, 2003 - A conservative space-time mesh refinement method for the 1-D wave equation. II. Analysis.
, and
Numerische Mathematik., vol. 95, no. 2, pp. 223--251, 2003 - Homogenized model for a laminar ferromagnetic medium.
and
Proc. Roy. Soc. Edinburgh Sect. A, vol. 133(3), pp. 567--598, 2003 - Stability of perfectly matched layers, group velocities and anisotropic waves.
, and
Journal of Computational Physics, vol. 188(2), pp. 399-433, jul, 2003 - Time-domain simulation of a guitar : Model and method
, , and
Acoustical Society of America Journal, vol. 114(6), pp. 3368 - 3383, dec, 2003
2002
- A comparison of methods for calculating the matrix block source term in a double porosity model for contaminant transport.
, , , and
Computational Geosciences, vol. 6(3-4), pp. 523-543, 2002 - A hybrid approach for the computation of guided modes in integrated optics.
, and
Advances in Computational Mathematics, vol. 16(2-3), pp. 229-261, apr, 2002 - A method for computing guided waves in integrated optics. Part (II) Numerical approximation
and
SIAM Journal on Numerical Analysis, vol. 39(5), pp. 1684-1711, 2002 - A new family of mixed finite elements for the linear elastodynamic problem
, and
SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2109-2132, 2002 - On the analysis of Bérenger's perfectly matched layers for Maxwell's equations
and
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 36(1), pp. 87-119, jan, 2002 - Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings.
and
Journal of Computational and Applied Mathematics, vol. 143(2), pp. 201-236, 2002
2001
- A method for computing guided waves in integrated optics. I. Mathematical analysis.
and
SIAM Journal on Numerical Analysis, vol. 39(2), pp. 596-623, 2001 - A method for computing guided waves in integrated optics. II. Numerical approximation and error analysis.
and
SIAM J. Numer. Anal., vol. 39, no. 5, pp. 1684--1711, 2001 - Effective Boundary Conditions For Thin Ferromagnetic Layers; the One-Dimensional Model
and
SIAM Journal on Applied Mathematics, vol. 61(4), pp. 1386-1417, 2001 - Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model.
and
Asymptot. Anal., vol. 27, no. 2, pp. 127--160., 2001 - Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation.
, and
J. Comput. Acoust., vol. 9, no. 3, pp. 1175--1201, 2001 - Higher order triangular finite elements with mass lumping for the wave equation.
, , and
SIAM J. Numer. Anal., vol. 38(6), pp. 2047-2078, 2001
2000
- An analysis of new mixed finite elements for the approximation of wave propagation problems.
, and
SIAM J. Numer. Anal., vol. 37, no. 4, pp. 1053--1084, 2000 - Construction and analysis of higher order finite difference schemes for the 1D wave equation.
, and
Comput. Geosci., vol. 4, no. 3, pp. 207--249, 2000 - Domain decomposition method for harmonic wave propagation: a general presentation.
, and
Comput. Methods Appl. Mech. Engrg., vol. 184, no. 2-4, pp. 171--211, 2000 - Effective boundary conditions for thin ferromagnetic layers: the one-dimensional model.
and
SIAM J. Appl. Math., vol. 61, no. 4, pp. 1386--1417, 2000 - Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques.
, and
Wave Motion, vol. 31, no. 2, pp. 101--116, 2000 [ ]
1999
- A numerical method for surface waves in a cylindrically perturbed elastic half-space. I. Construction and analysis.
and
SIAM J. Appl. Math., vol. 59, no. 5,, pp. 1599--1635, 1999 - A numerical method for the computation of electromagnetic modes in optical fibres.
and
Math. Methods Appl. Sci., vol. 22, no. 5, pp. 389--447, 1999 - Domaines fictifs, éléments finis H(div) et condition de Neumann: le problème de la condition inf-sup.
and
C. R. Acad. Sci. Paris Sér. I Math., vol. 328, no. 12, pp. 1225--1230, 1999 - Mathematical analysis of elastic surface waves in topographic waveguides.
, and
Mathematical Models and Methods in Applied Sciences, vol. 9(5), pp. 755-798, jul, 1999 [ ] - Mathematical and numerical studies of nonlinear ferromagnetic materials.
and
M2AN Math. Model. Numer. Anal., vol. 33, no. 3, pp. 593--626, 1999 - On transitions to stationary states in a Maxwell-Landau-Lifschitz-Gilbert system.
, and
SIAM J. Math. Anal., vol. 31, no. 2, pp. 346--374, 1999 - Time-domain modeling and numerical simulation of a
kettledrum.
, and
Journal of the Acoustical Society of America,, vol. 105, 6,, pp. 3545--3562, 1999 - Un résultat d'existence et d'unicité pour l'équation de Helmholtz avec conditions aux limites absorbantes d'ordre 2.
, and
C. R. Acad. Sci. Paris Sér. I Math., vol. 329, no. 3, pp. 193--198, 1999 - Une méthode de raffinement de maillage espace-temps pour le système de Maxwell en dimension un.
, and
C. R. Acad. Sci. Paris Sér. I, vol. 328, no. 3, pp. 263--268, 1999
1997
- A fictitious domain method for conformal modeling of the
perfect electric conductors in the FDTD method.
, and
IEEE Trans. on Antennas and Propagation,, vol. 46, pp. 1519-1527, 1997 - A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations.
, , and
Comput. Methods Appl. Mech. Engrg., vol. 148, no. 1-2, pp. 195--207, 1997 - A new theoretical approach to absorbing layers.
and
SIAM J. Numer. Anal., vol. 34, no. 2, pp. 671--698, 1997 - Fictitious domain method for unsteady problems: application to electromagnetic scattering.
, and
J. Comput. Phys., vol. 138, no. 2, pp. 907--938, 1997 - Propagation d'ondes en milieu ferromagnétique $1$D: existence et unicité des solutions.
and
C. R. Acad. Sci. Paris Sér. I Math., vol. 324, no. 1, pp. 29--35, 1997 - Éléments finis d'arête et condensation de masse pour les équations de Maxwell: le cas 2D.
and
C. R. Acad. Sci. Paris Sér. I Math., vol. 324, no. 11, pp. 1287--1293, 1997 - Éléments finis d'arête et condensation de masse pour les équations de Maxwell: le cas de dimension $3$.
and
C. R. Acad. Sci. Paris Sér. I Math., vol. 325, no. 11, pp. 1217--1222, 1997 - Éléments finis mixtes et condensation de masse en élastodynamique linéaire. I. Construction.
, et
C. R. Acad. Sci. Paris Sér. I Math., vol. 325, no. 5, pp. 545--550, 1997 - Étude d'un nouvel élément fini mixte permettant la condensation de masse.
, and
C. R. Acad. Sci. Paris Sér. I Math., vol. 324, no. 11, pp. 1281--1286, 1997
1996
- A new nonconforming finite element method for the computation of electromagnetic guided waves. I. Mathematical analysis.
, , and
SIAM J. Numer. Anal., vol. 33, no. 4, pp. 1494--1525, 1996 - Construction analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media.
and
SIAM J. Numer. Anal., vol. 33, no. 4, pp. 1266--1302, 1996
1995
- Mathematical analysis of electromagnetic open waveguides.
and
RAIRO Modél. Math. Anal. Numér., vol. 29, no. 5, pp. 505--575, 1995 - New absorbing boundary conditions for the finite element solution
of 3D Maxwell's equations
and
IEEE Trans. on Magnetics,, vol. 31, pp. 1696--1701, 1995 - Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation.
and
SIAM J. Sci. Comput., vol. 16, no. 5, pp. 1019--1048, 1995 - The energy method for the heterogeneous wave equation with high order boundary conditions.
and
Southeast Asian Bull. Math., vol. 19, no. 2, pp. 67--72, 1995
1994
- A principle of images for absorbing boundary conditions.
and
Numer. Methods Partial Differential Equations, vol. 10, no. 4, pp. 411--434, 1994 - Absorbing boundary conditions for linear gravity waves.
and
SIAM J. Appl. Math., vol. 54 (1), pp. 93--131, 1994 - Higher-order finite elements with mass-lumping for the 1D wave equation.
, and
Finite Elem. Anal. Des., vol. 16, no. 3-4, pp. 329--336, 1994 - Nouvelles conditions absorbantes d'ordre élevé pour les équations
de Maxwell
, et
Revue Scientifique et technique de la Défense, vol. Bicentenaire ETCA, pp. 145-155, 1994 - On the stability analysis of boundary conditions for the wave equation by energy methods. I. The homogeneous case.
and
Math. Comp., vol. 62 (206), pp. 539--563, 1994
1993
- Mathematical Analysis of Guided Water Waves
and
SIAM Journal on on Applied Mathematics, vol. 53, pp. 1507--1550, 1993 - Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur.
and
RAIRO Modél. Math. Anal. Numér., vol. 27 (3), pp. 251--288, 1993
1992
- Approximation of the surface impedance fora stratified medium
and
Wave propagation and inversion, SIAM,Philadelphia, PA, pp. 56--87,, 1992 - Estimations d'énergie pour l'équation des ondes avec conditions
aux limites d'ordre élevé
and
C. R. Acad. Sci., Série I Math., vol. 315 , 5, 7,, pp. 781--786, 1992 - Some new results about elastic guided waves in heterogeneous media
and
Math. Meth. Appl. Sci., vol. 15, 6, pp. 395--409., 1992 - Some trace theorems in anisotropic Sobolev spaces
SIAM J. Math. Anal., vol. 23, 3, pp. 799-819, 1992
1991
- Elastic waves guided by an infinite plane crack
and
Wave Motion, vol. 14, pp. 25-53, 1991 - Mathematical Analysis of the propagation of elastic surface waves
at the exterior of a cylindrical cavity of arbitrary cross-section
, and
M2AN ,, vol. 25, 1, pp. 1--30, 1991
1990
- Fourth order schemes for the heterogeneous acoustics
equation
and
Comput. Methods Appl. Mech. Engrg., vol. 80, 1-3, pp. 397--407, 1990 - Hole geometry and anisotropy effects on tube wave propagation : a quasistatic study
, , , and
Geophysics, vol. 55, 2, pp. 167-175, 1990 - Second order absorbing boundary conditions for the wave equation : a solution for the corner problem
, and
SIAM Journal on Numerical Analysis, vol. 27, 2, pp. 323-352, 1990
1989
- Approximation by finite difference schemes of the propagation of
acoustic waves in stratified media
and
Numerische Mathematik, vol. 54, pp. 655-702, 1989 - Mathematical Analysis of the Propagation of Elastic Guided Waves in Heterogeneous Media
, and
Journal of Differential Equations, vol. 88, 1, pp. 113-154, 1989 - Pseudo-transparent boundary conditions for the diffusion
equation (1)
Mathematical methods in Applied Sciences, vol. 11, pp. 725-758, 1989 - The electric field in the conductive halfspace as a model in mining and
petroleum prospection
, and
Math. Meth. Appl. Sc., vol. 11, pp. 373-401, 1989 - Un nouveau résultat d'existence d'ondes guidées en milieu
élastique hétérogène
C. R. Acad. Sci., Série. I Math., vol. 309, pp. 793-796, 1989
1988
- Numerical diffraction by a uniform grid
, and
SIAM Journal on Numerical Analysis, vol. 25, 4, pp. 753-783, 1988 - Parabolic Wave Equation Approximations in heterogenous media
, , and
SIAM Journal on Applied Maths, vol. 28, 1, pp. 99-128, 1988 - Paraxial Wave Equation Approximations in heterogenous media
, , and
SIAM Journal on Applied Maths, vol. 48, 1, pp. 129-154, 1988 - Resolution of Maxwell equations in polarisable media
and
SIAM J. Math. Anal., vol. 19, 6, pp. 1372--1390, 1988
1987
- Ondes de surfaces élastiques guidées par l'extérieur d'une
cavité cylindrique de section arbitraire
, and
C. R. Acad. Sci., Série. I Math., vol. 304, 3, 1987
1986
- Approximation numérique de la propagation d'ondes acoustiques
en milieu stratifié
and
C. R. Acad. Sci., Série I Math., vol. 303, 5, 1986
1985
- Absorbing boundary conditions for Rayleighwaves
, , and
SIAM Journal on Scientific and Statistical Computing, vol. 9,6, pp. 1016-1049, 1985
Paper in non peer-reviewed journals
2014
- Le piano rêvé des mathématiciens
, , and
Interstices (INRIA), 2014
Chapters
2009
- Exact boundary conditions for wave propagation in periodic media containing a local perturbation
, and
E-Book Series Progress in Computational Physics (PiCP), Volume 1, dec, 2009 [ ]
2008
- Fictitious domains methods for wave diffraction. ``Effective computational
methods for wave propagation'',
and
Numer. Insights, vol. 5, pp. 359--384, Chapman & Hall/CRC, 2008 - Finite element methods with continuous displacement. "Effective computational methods for wave propagation.
Numer. Insights, vol. 5, pp. 247--266, Chapman & Hall/CRC, 2008 - Finite element methods with discontinuous displacement. ``Effective
computational methods for wave propagation'',
and
Numer. Insights, vol. 5, pp. 331--357, Chapman & Hall/CRC, 2008 - Numerical methods for treating unbounded media. "Effective computational
methods for wave propagation",
and
Numer. Insights, vol. 5, pp. 425--472, Chapman & Hall/CRC, 2008 - Space time mesh refinement methods. ``Effective computational methods for
wave propagation'',
, and
Numer. Insights, vol. 5, pp. 385--424, Chapman & Hall/CRC, 2008 - The mathematical model for elastic wave propagation. "Effective
computational methods for wave propagation".
Numer. Insights, vol. 5, pp. 247--266, Chapman & Hall/CRC, 2008
2007
- Numerical Methods for Elastic Wave Propagation
Waves in nonlinear Pre-Stressed Materials, Michel Destrade, Giuseppe Saccomandi Editors, pp. 181--281, SpringerWien New York, 2007
2003
- Variational methods for time-dependent wave propagation problems.
Lect. Notes Comput. Sci. Eng., vol. 31, pp. 201--264, Springer, Berlin, 2003
2002
- Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings.
and
Nonlinear partial differential equations and their applications. Collège de France Seminar, Vol. XIV, vol. 31, pp. 415--456, North-Holland, Amsterdam, 2002
2001
- Mathematical analysis and numerical approximation of optical waveguides.
and
Mathematical modeling in optical science, vol. 22, pp. 273--324, SIAM, Philadelphia, PA, 2001
International conferences with proceedings
2017
- Propagation of acoustic waves in fractal networks
, and
Oberwolfach Report, Space-time Methods for Time-dependent Partial Differential Equations, 2017
2015
- Perfectly Matched Layers for dispersive Maxwell’s equations
, and
WAVES 2015, Karlsruhe, jul, 2015 - Stable Perfectly Matched Layers for a Simplified Anisotropic Model of Cold Plasma
, and
pp. 158-159, WAVES 2015, Karlsruhe, jul, 2015
2011
- Asymptotic modeling of boundary layers in aeroacoustics
, and
17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), American Institute of Aeronautics and Astronautics, 2011 - Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [ ]
2010
- Propagation of acoustic waves in fractal networks vol. 10, pp. 86-89, (P. Joly, A. Semin) (2010)
and
Oberwolfach Report,, vol. 10, pp. 86-89, 2010
2009
- Approximate models for wave propagation across thin periodic interfaces
, and
9th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2009), jun, 2009
2007
- Computation of harmonic wave propagation in infinite periodic media
, and
Report No.5/2007 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics, Oberwolfach., 2007
2005
- A Lagrange multiplier free space-time mesh refinement method for wave propagation problems
, and
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05). Brown University (USA), jun, 2005
2003
- A fictitious domain method for a unilateral contact problem
, and
Springer, pp. 431-436, Mathematical and Numerical Aspects of Wave Propagation, 2003 - Asymptotical models for wave propagation in media including slots
, and
Mathematical and numerical aspects of wave propagation---WAVES 2003, pp. 169--173, Springer, Berlin, 2003 - Mathematical and numerical modeling of wave propagation in viscoelastic media
, and
Springer, pp. 39-48, Mathematical and numerical aspects of wave propagation, 2003 - Space-Time Mesh Refinement for the Elastodynamic Equations.
, and
pp. 313-318, Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Springer, jun, 2003 - Stabilized perfectly matched layer for advective acoustics
and
Mathematical and numerical aspects of wave propagation---WAVES 2003, pp. 115--119, Springer, Berlin, 2003
2002
- Modeling of wave propagation in linear viscoelastic media
, and
Mathematical modeling of wave phenomena, pp. 39-48, Mathematical modeling in physics, engineering and cognitive sciences, Vaxjo University Press, 2002 - Space-time mesh refinement for elastodynamic equations
, and
14th International Conference on Domain Decomposition Methods, January 6-11, 2002 , Mexico, 2002
2001
- A fictitious domain method for unilateral contact problems in non-destructive testing
, and
1st MIT conference, June 12-14, 2001, Cambridge, USA, 2001 - Numerical simulation of a guitar
, , and
ECCM (European Conference on Computational Mechanics), June, 2001, Cracow, Poland, 2001
2000
- A new second order 3D edge element on tetrahedra for
time dependent Maxwell's equations
and
Mathematical and numerical aspects of wave propagation (Santiago de Compostela), pp. 842--847, SIAM, Philadelphia, PA, 2000 - A new space-time mesh refinement method for Maxwell's equations
, and
Mathematical and numerical aspects of wave propagation (Santiago de Compostela), pp. 787--791, SIAM, Philadelphia, PA, 2000 - An explicit finite element scheme for time-dependent Kirchhoff-Love equations
, and
Mathematical and numerical aspects of wave propagation (Santiago de Compostela), pp. 735--740, SIAM, Philadelphia, PA, 2000 - Electromagnetic waves in laminar ferromagnetic medium: the homogenized problem
and
Mathematical and numerical aspects of wave propagation, Santiago de Compostela, Spain, pp. 578--582, SIAM, Philadelphia, PA, 2000
1998
- An asymptotic approach of the scattering of electromagnetic waves by thin ferromagnetic coatings
and
pp. 578-582, Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), SIAM, 1998 - Fictitious domain method applied to the scattering by a crack of transient elastic waves in anisotropic media: a new family of mixed finite elements leading to explicit schemes
, and
pp. 322-326, Fourth Int. Conf. on Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), SIAM, Philadelphia, PA, 1998, 1998
1995
- Higher order numerical schemes for paraxial approximations of the wave equation
, and
2nd International Conference on Theoretical and Computational Acoustics,, aug, 1995 - On two Migration Methods based on Paraxial Equations in a 3D heterogeneous Medium
, , and
Mathematical Methods in Geophysical Imaging III, part of SPIE’s 1995 International Symposium on Optical Science, Engineering and Instrumentation, San Diego, jul, 1995
Conferences without proceedings
2015
- Limiting amplitude principle for a two-layered medium composed of a dielectric material and a metamaterial
, and
Waves 2015, Karlsruhe, Allemagne, 2015
2014
- Effective boundary conditions for thin periodic coatings canum
, et
canum 2014, avr 2014 [ ] - Time domain computation of the scattering of waves by small heterogeneities
, and
KOZwaves, Newcastle, Australia, feb, 2014
2013
- Effective boundary conditions for thin periodic coatings
, and
waves'2013, jun, 2013 [ ] - Selective focusing for time dependent waves
, and
Workshop: Computational Electromagnetism and Acoustics, Oberwolfach, Germany, jan, 2013 - Selective focusing for time-dependent waves
, and
Workshop: Inverse Problems and Imaging, Institut Henri Poincarré, Paris, France, feb, 2013 - Selective focusing on unknown scatterers
, and
Waves conference, Tunis, Tunisia, may, 2013 - Space-time focusing for acoustic waves
, and
Novel Direction in Inverse Scattering, honoring D. Colton, Newark, Delaware, USA, poster (soon), jul, 2013 - Space-time focusing on unknown obstacles
, and
International conference in applied mathematics, Heraklion, Greece, sep, 2013 - Time domain computation of the scattering of waves by small heterogeneities
, and
Waves, Tunisia, jun, 2013
2012
- Space-time focusing on unknown scatterers
, and
Workshop : Wave propagation in complex media and applications, Heraklion, Greece, poster, may, 2012 - Using time reversal for space-time focusing of acoustic waves
, and
Workshop: journées de Metz 2012: Recent Advances in Modeling, Analysis and Simulation of Wave Propagation, Metz, France, mar, 2012
2011
- Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [ ] - Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 - Electromagnetic approximate transmission condition for thin periodic layer
, and
Waves 2011, 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011 [ ] - Using time reversal for space--time focusing of acoustic waves
, and
5ème Colloque sur les Tendances des Applications Mathématiques en Tunisie, Algérie, Maroc (TAMTAM), Sousse, Tunisie, apr, 2011 [ ]
2010
- Approximate Models for the scattering from thin periodic layers
, and
6th Singular Days on Asymptotic Methods for PDEs, apr, 2010 [ ] - Approximate model for wave propagation across a thin periodic ring
, and
WONAPDE 2010, Third Chilean Workshop on Numerical Analysis and Partial Differential Equations, jan, 2010 [ ] - Modèles asymptotiques pour les interfaces fines et périodiques
, et
Congrès CANUM 2010, 40e Congrès National d'Analyse Numérique, jun 2010 - Numerical simuation of a concert piano.
and
5th Workshop on Numerical Methods for Evolution Equations, sep, 2010 - Propagation of acoustic waves in fractal networks
and
Oberwolfach Seminar, feb, 2010
2009
- Approximate models for wave propagation across thin periodic interfaces
, and
Waves 2009, 9th International Conference on Mathematical and Numerical Aspects of Waves, may, 2009 [ ] - Asymptotic models for wave propagation across thin periodic interfaces
, and
Polaritions 2009, Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, may, 2009 [ ] - Construction and Analysis of Improved Kirchoff Conditions for Acoustic Wave Propagation in a Junction of Thin Slots
and
Proceeding of Waves 2009, pp. 140--141, jun, 2009 - Energy preserving scheme for a nonlinear system of piano strings.
and
South African Symposium for Numerical and Applied Mathematics, apr, 2009 - Energy preserving schemes for nonlinear systems of wave equations. Application to piano strings.
and
WAVES 2009, jun, 2009 [ ] - Exact boundary conditions for locally perturbed 2d periodic plane : Numerical Aspects
and
9th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'09), Pau, jun, 2009 - Operator Factorization for Multiple Scattering Problems and an Application to Periodic Media
and
Waves 2009, jun, 2009 - Stability Analysis of Acoustic Wave Propagation in a Thin Duct in the Presence of a Shear Flow.
, and
9th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'09), Pau, jun, 2009
2008
- Couplage entre potentiels retardés et méthodes de Galerkin discontinues.
Applications en acoustique.
Inauguration de la Chaire Modélisation Mathématique et Simulation Numérique, Ecole Polytechnique, Octobre 2008, oct 2008 - Coupling Discontinuous Galerkin Methods and Retarded Potentials for Time Dependent Wave Propagation Problems
, and
5th European Congress in Computational Methods in Applied Sciences and Engineering, jul, 2008 - Higher order explicit time stepping and optimal CFL condition for second order hyperbolic problems
second order hyperbolic problems
Numerical Methods for Evolution Equations, Heraklion (Crète) Evolution Equations, Heraklion (Crete), sep, 2008 - Numerical Methods for Wave Propagation in locally perturbed Periodic Media
Mathematical Topics in Electromagnetic Fields and Wave Propagation, Karsruhe (Allemagne), apr, 2008
2007
- Analyse de la stabilite d'un modele pour la propagation d'ondes dans un tuyau de faible epaisseur parcouru par un fluide en ecoulement
TAMTAM'07, Tipaza (Algerie), apr, 2007 - Etude de la propagation d'ondes dans des jonctions de fentes minces
et
Séminaire ACSIOM, Montpellier II, nov 2007 - Exact boundary conditions for locally perturbed 2d-periodic plane
, and
Mathematical and numerical aspects of wave propagation, Reading, 2007 - Higher order time stepping for second order hyperbolic problems and optimal CFL conditions
, and
The 8th International Conference on Mathematical and Numerical Aspects of Waves, jul, 2007 - Higher order time stepping with optimal CFL conditions for second order hyperbolic problems
WONAPDE. Concepcion, Chili, jan, 2007 - Modeles approches pour la propagation d'ondes dans un reseau de fentes minces
Workshop Methodes Asymptotiques en electromagnetisme, 20eme Anniversaire du CERFACS, Toulouse, oct, 2007 - Présentation et analyse des méthodes de raffinement de maillage espace-temps conservatives pour des problèmes de propagation d'ondes
, et
8eme Colloque en Calcul des Structures. Giens, France, mai 2007 - Transparent boundary conditions, wave propagation and periodic media
ENUMATH07, Graz, Autriche, sep, 2007
2006
- Analyse asymptotique de mod`eles de propagation d' ondes dans des milieux comportant des fentes minces
Seminaire du College de France, Paris, apr, 2006 - Application of the Cagniard-de Hoop method to aeroacoustics
, and
MATHmONDES 2, 2nd BRITISH-FRENCH WAVES MEETING, Manchester, jun, 2006 - Approche analytique et numérique pour l'aéroacoustique dans un écoulement discontinu
, et
2ème Journées sur les Equations Différentielles et leurs Applications. Annaba, nov 2006 - Approximate models for linear aeroacoustics in nearly discontinuous flows
Third Workshop on Numerical Methods for Evolution Problems, Heraklion (Crete), sep, 2006 - Le temps et sa discr'etisation dans les equations aux derivees partielles
Conference TIPE `a l'attention des professeurs de classes preparatoires, ENSTA, Paris, oct, 2006 - Variational methods for time dependent non destructive testing experiments
Conference AFPAC'06, Wye, Angleterre, jan, 2006
2005
- A DUAL-PRIMAL COUPLING TECHNIQUE WITH LOCAL TIME STEP FOR WAVE PROPAGATION PROBLEMS
, and
ECCOMAS/ COUPLED PROBLEMS 2005, 2005 - Analysis of a space-time mesh refinement method for wave propagation problems
, and
The Sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH'05). Universidad de Santiago de Compostela, Spain, jul, 2005 - Asymptotic models for Electromagnetic Scattering from Strongly Absorbing Obstacles
, et
Waves2005, Brown University, Providence(USA), 2005 - Conditions d'impédance généralisées pour la diffraction d'ondes par des obstacles fortement conducteurs
Seminaire à l'Ecole Normale Supérieure de Cachan - Antenne de Bretagne, Rennes, 2005 - Coupling retarded potentials and finite elements for time domain vibroacoustics
Enumath2005, Santiago de Compostela (Spain), 2005 - Exact bounbery conditions for locally perturbed periodic waveguides
Waves Meeting, University of Reading, Angleterre, sep, 2005 - Exact boundary conditions for locally perturbed periodic waveguides
Waves Meeting, University of Reading (England), 2005 - Exact boundary conditions for locally perturbed periodic waveguides
Enumath2005, Santiago de Compostela (Spain), 2005 - Exact boundary conditions for periodic waveguides with a local perturbation
, and
jun, 2005 - Matching of asymptotic expansions for the wave propagation in media with thin slot
and
WAVES 2005, Brown University, Providence, 2005 - Mathematical analysis of time domain PML's
Waves2005, Brown University, Providence(USA), 2005 - Modeles approch'es pour la propagation du son dabs des 'ecoulements discontinus
Journees Scientifiques du GDR Ondes, Besancon, nov, 2005 - Modèles approchés pour la modélisation de la propagation du son dans des écoulements discontinus
Journées Scientifiques du GDR Ondes, Besançon, 2005 - Numerical analysis of time-dependent Galbrun equation in an infinite duct
, and
7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05), Providence, 2005 - Numerical methods for elastic wave propagation
conferences at the Summer School of GDR ONDES, Sup Elec, Gif-sur-Yvette, 2005 - Propagation of Electromagnetic Waves in a Locally Perturbed Periodic Waveguide
Workshop TiSCoPDE05, 2005 - Propagation of Waves in Locally Perturber Periodic Media
Workshop WIP2005, CIRM, Marseille, dec, 2005 - Propagation of Waves in a Locally Perturbed Periodic Media
Workshop WIP2005, 2005 - Propagation of electromagnetic waves in a locally perurbes periodic waveguide
Workshop TiSCoPDE05, Weierstrass Institute, Berlin, sep, 2005 - Régularisation pour l'aéroacoustique en régime transitoire
, et
2ème colloque sur les Tendances et Applications Mathématiques en Tunisie, Algérie, Maroc, Tunis, avr 2005 - Un modèle approché stable pour l'aéroacoustique en écoulement discontinu
Séminaire Poems, ENSTA, Paris, 2005
2004
- A New Space-time Mesh Refinement Method for Elastodynamics
and
The Fourth European Congress on Computational Methods in Applied Sciences and Engineering (Eccomas 2004). Jyväskylä, Finland, 2004 - Mathematical justification of simplified models for acoustics wave in media including thin slots
and
WONAPDE 2004, Chile, 2004
2003
- Asympotical models for wave propagation in media includings slots
and
WAVES 2003, Finland,, 2003 - Modeling of wave propagation in linear viscoelastic media
, and
Mathematical modelling in physics, engineering and cognitive sciences, 2003 - Propagation d'ondes dans les milieux viscoélastiques linéaires
, and
pp. 11-20, Conférence du GDR 2501, Aussois, Etude de la propagation ultrasonore en milieux non-homogènes en vue du controle non destructif, dec, 2003 - Raffinement de maillage local spatio-temporel pour les équations de l'élastodynamique
, et
35éme Congrés National d'Analyse Numérique. La Grande Motte, France, jun 2003 - Space-time mesh refinement for the elastodynamic equations
and
The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2003). Jyväskylä, Finland, jul, 2003
2002
- Space-time mesh refinement for the elastodynamic equations
and
14th International Conference in Domain Decomposition. Morelos, Mexico, jan, 2002
Seminars
2014
- Conditions aux limites équivalentes pour les couches minces périodiques
, et
Seminaire POEMS, mar 2014 [ ]
2013
- Selective focusing for time-dependent waves
, and
Poems Seminar, Palaiseau, France, jan, 2013
Research reports
2016
- Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis
, , and
Rapport de Recherche INRIA, mar, 2016 [ ]
2010
- Energy Preserving Schemes for Nonlinear Hamiltonian Systems of Wave Equations. Application to the Vibrating Piano String.
and
pp. 70, jan, 2010 - Study of propagation of acoustic waves in junction of thin slots
and
INRIA Research Report, vol. RR-7265, pp. R1-R59, INRIA Research Report, apr, 2010
2008
- Propagation of an acoustic wave in a junction of two thin slots
and
INRIA Research Report, vol. RR-6708, pp. R1-R61, INRIA Research Report, oct, 2008
2007
- Construction and analysis of approximate models for electromagnetic
scattering from imperfectly conducting scatterers
and
INRIA, 5839, 2007 - Construction et analyse mathématique d'un modèle approché pour la propagation d'ondes acoustiques dans un tuyau mince parcouru par un fluide en écoulement
, and
INRIA Research Report, vol. RR-6363, pp. R1-R47, INRIA Research Report, nov, 2007
2006
- Etude d'un problème modèle pour la diffraction par des fils minces par développements asymptotiques raccordés Cas 2D
, et
fév 2006
2005
- Modèles asymptotiques pour la propagation des ondes dans des milieux comportant des fentes
, and
INRIA, 2005
2004
- Modélisation de la propagation d'ondes dans les milieux viscoélastiques linéaires II : Analyse numérique
, et
RR-5159, Rapport de Recherche INRIA. 2004, avr 2004
2003
- An Analysis of Higher Order Boundary Conditions for the Wave Equation.
and
INRIA, 2003 - Modélisation de la propagation d'ondes dans les milieux viscoélastiques linéaires : I. Analyse mathématique
, et
RR-4785, Rapport de Recherche INRIA. 2003, mar 2003
2001
- Modélisation mathématique et numérique des ondes dans les milieux viscoélastiques monodimensionnels
, and
Rapport de contrat IFREMER-INRIA, 2001
1999
- Recent Developments in Mixed Finite Elements for Elastodynamics in Complex Media
, and
Rapport annuel, Consortium SIGMA (Seismic Inversion, Geophysical Modeling and Applications), 1999
1998
- Conditions équivalentes pour des couches minces ferromagnétiques, étude du problème monodimensionnel
and
INRIA, 1998 - New finite elements for the linear elatodynamics problem
, and
Rapport annuel, Consortium SIGMA (Seismic Inversion, Geophysical Modeling and Applications), 1998
1995
- Higher Order Numerical Schemes for the Paraxial Wave Equation.
, and
Rapport annuel, Consortium PSI (Prestack Structural Interpretation), 1995., 1995
1994
- Some new developments about paraxial approximations for the 3D wave equation.
, and
Rapport annuel, Consortium PSI (Prestack Structural Interpretation), 1994., 1994
1993
- Numerical analysis of adaptive stepize schemes for the approximation of the ray equations
and
Rapport annuel, Consortium PSI (Prestack Structural Interpretation), 1993., 1993
Lecture note
2001
- Méthodes numériques : Éléments finis mixtes et méthode des domaines fictifs pour l'élastodynamique
, and
pp. 3--129, Ecole des Ondes : Ondes élastiques dans les solides, nov, 2001 [ ]
Other publications
2022
- An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables
, , and
apr, 2022
2010
- Wave propagation model in self-similar trees
and
CANUM 2010, jun, 2010