Edit Profile Joly, Patrick Compute Distance To: Compute Author ID: joly.patrick Published as: Joly, P.; Joly, Patrick; July, Patrick Homepage: https://uma.ensta-paris.fr/~pjoly External Links: MGP · Math-Net.Ru · dblp Documents Indexed: 174 Publications since 1985, including 4 Books all top 5 Co-Authors 12 single-authored 20 Bécache, Eliane 12 Collino, Francis 11 Haddar, Houssem 10 Bamberger, Alain 9 Cohen, Gary C. 9 Roberts, Jean Elizabeth 9 Rodríguez, Jerónimo 9 Tsogka, Chrysoula 7 Imperiale, Sébastien 6 Fliss, Sonia 6 Vacus, Olivier 5 Bonnet-Ben Dhia, Anne-Sophie 5 Delourme, Bérangère 5 Diaz, Julien 5 Duruflé, Marc 5 Fouquet, Thierry 5 Kachanovska, Maryna 5 Poirier, Christine 5 Tordeux, Sébastien 4 Derveaux, Grégoire 4 Ha-Duong, Tuong 4 Kern, Michel 4 Tordjman, Nathalie 3 Bermúdez, Alfredo 3 Chabassier, Juliette 3 Duterte, Jean 3 Elmkies, Alexandre 3 Guillot, Jean-Claude 3 Halpern, Laurence 3 Hiptmair, Ralf 3 Hoppe, Ronald H. W. 3 Langer, Ulrich 3 Semin, Adrien 3 Vasilevskaya, Elizaveta 2 Beck, Geoffrey M. 2 Burel, Alienor 2 Cassier, Maxence 2 Chaigne, Antoine 2 Cockburn, Bernardo 2 Engquist, Bjorn E. 2 Ezziani, Abdelaâziz 2 Ghanemi, Souad 2 Goldman, Yale E. 2 Gómez Pedreira, Dolores 2 Grob, P. 2 Hazard, Christophe 2 Joubert, Lauris 2 Millot, Florence 2 Nguyen, Hoai-Minh 2 Pedreira, D. Gómez 2 Rhaouti, Leïla 2 Vinoles, Valentin 2 Weder, Ricardo A. 1 Abboud, Toufic 1 Albella Martínez, Jorge 1 Alboin, Clarisse 1 Anné, Laurent 1 Atamian, C. 1 Barucq, Hélène 1 Bensalah, A. 1 Bonnet, Marc 1 Chalindar, Bruno 1 Clausel, Marianne 1 Coatléven, Julien 1 Collino, P. 1 Delbue, G. 1 Dermenjian, Yves 1 Després, Bruno 1 Dgaygui, Kebir 1 Duong, Tap Ha 1 Eziani, Abdelaâziz 1 Fauqueux, Sandrine 1 Gilbert, Jean Charles 1 Gómez, Dolores 1 Heikkola, Erkki 1 Jaffré, Jérôme 1 Komech, Aleksandr I. 1 Komech, Alexander Ilich 1 Lecouvez, Matthieu 1 Lenoir, Marc 1 Li, Jhuo-Ru 1 Lohrengel, Stephanie 1 Mercier, Jean-François 1 Neittaanmäki, Pekka J. 1 Oñate Ibáñez de Navarra, Eugenio 1 Pedreira, Dolores G. 1 Périaux, Jacques F. 1 Piacentini, Andrea 1 Pironneau, Olivier 1 Scarella, Gilles 1 Schmidt, Kersten 1 Serres, Christophe 1 Teron, Jean Luc 1 Terrasse, Isabelle 1 Thöns-Zueva, Anastasia 1 Tlili, Jamel 1 Tran, Quang Huy 1 Trouvé, Pascal 1 Tuomela, Jukka all top 5 Serials 11 SIAM Journal on Numerical Analysis 8 SIAM Journal on Applied Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Comptes Rendus de l’Académie des Sciences. Série I 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Journal of Computational Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Mathematical Methods in the Applied Sciences 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Numerische Mathematik 4 Communications in Computational Physics 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Numerical Methods for Partial Differential Equations 3 Asymptotic Analysis 3 SIAM Journal on Mathematical Analysis 3 Computational Geosciences 3 Oberwolfach Reports 2 Wave Motion 2 Mathematics of Computation 2 SIAM Journal on Scientific Computing 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Computational Acoustics 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Differential Equations 1 Southeast Asian Bulletin of Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Finite Elements in Analysis and Design 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 S\(\vec{\text{e}}\)MA Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SN Partial Differential Equations and Applications all top 5 Fields 109 Partial differential equations (35-XX) 80 Numerical analysis (65-XX) 66 Optics, electromagnetic theory (78-XX) 47 Mechanics of deformable solids (74-XX) 34 Fluid mechanics (76-XX) 9 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 8 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 134 Publications have been cited 1,300 times in 861 Documents Cited by ▼ Year ▼ Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335Bécache, E.; Fauqueux, S.; Joly, P. 86 2003 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N. 65 2001 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032Bécache, Eliane; Joly, Patrick 41 2002 Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134Collino, Francis; Ghanemi, Souad; Joly, Patrick 39 2000 A time domain analysis of PML models in acoustics. Zbl 1119.76046Diaz, J.; Joly, P. 37 2006 Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media. Zbl 0863.65048Cohen, Gary; Joly, Patrick 33 1996 A domain decomposition method for the harmonic Maxwell equations. Zbl 0785.65117Despres, Bruno; Joly, Patrick; Roberts, Jean E. 27 1992 Second-order absorbing boundary conditions for the wave equation: A solution for the corner problem. Zbl 0716.35036Bamberger, Alain; Joly, Patrick; Roberts, Jean E. 27 1990 Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 25 2008 Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 25 2005 Variational methods for time-dependent wave propagation problems. Zbl 1049.78028Joly, Patrick 25 2003 An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102Bécache, E.; Joly, P.; Tsogka, C. 25 2000 Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160Delourme, Bérangère; Haddar, Houssem; Joly, Patrick 24 2012 A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049Bécache, E.; Joly, P.; Tsogka, C. 24 2002 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008Joly, P.; Li, J.-R.; Fliss, S. 23 2006 Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 22 1988 Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle 21 2011 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347Joly, Patrick; Tordeux, Sébastien 20 2006 A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089Collino, F.; Fouquet, T.; Joly, P. 20 2003 Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 20 1988 Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311Collino, Francis; Joly, Patrick; Millot, Florence 19 1997 Mathematical analysis of guided water waves. Zbl 0787.76007Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 19 1993 Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015Collino, F.; Fouquet, T.; Joly, P. 18 2006 Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008Haddar, H.; Joly, P. 18 2002 Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156Bécache, E.; Joly, P.; Tsogka, C. 18 2001 A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073Collino, F.; Fouquet, T.; Joly, P. 15 2003 Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P. 15 1999 Higher-order finite elements with mass-lumping for the 1D wave equation. Zbl 0865.65072Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 15 1994 On the stability analysis of boundary conditions for the wave equation by energy methods. I: The homogeneous case. Zbl 0829.35063Ha-Duong, T.; Joly, P. 15 1994 Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260Fliss, Sonia; Joly, Patrick 13 2016 Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311Fliss, Sonia; Joly, Patrick 13 2009 Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070Gilbert, J. Charles; Joly, Patrick 13 2008 Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174Joly, Patrick; Tordeux, Sébastien 13 2006 An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062Diaz, Julien; Joly, Patrick 13 2005 Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003Joly, Patrick; Vacus, Olivier 13 1999 Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146Chabassier, J.; Joly, P. 12 2010 Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057Durufle, M.; Grob, P.; Joly, P. 12 2009 A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations. Zbl 0902.65074Collino, P.; Delbue, G.; Joly, P.; Piacentini, A. 12 1997 Edge finite elements and mass lumping for Maxwell’s equations: The 2D case. Zbl 0877.65081Elmkies, Alexandre; Joly, Patrick 11 1997 Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna 10 2017 Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422Joly, Patrick; Semin, Adrien 10 2008 Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348Joly, Patrick; Tordeux, Sébastien 10 2008 An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095Joly, Patrick; Rodriguez, Jerónimo 9 2005 Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116Diaz, Julien; Joly, Patrick 9 2003 Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060Anné, Laurent; Joly, Patrick; Tran, Quang Huy 9 2000 Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. Zbl 0893.65068Elmkies, Alexandre; Joly, Patrick 9 1997 Construction and analysis of higher order finite elements with mass lumping for the wave equation. Zbl 0814.65096Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 9 1993 Fourth order schemes for the heterogeneous acoustics equation. Zbl 0733.76053Cohen, G.; Joly, P. 9 1990 Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426Cassier, Maxence; Hazard, Christophe; Joly, Patrick 8 2017 Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin 8 2015 On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems. Zbl 1288.78016Delourme, Berangere; Haddar, Houssem; Joly, Patrick 8 2013 Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030Bécache, E.; Joly, P.; Rodríguez, J. 8 2005 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072Cohen, Gary C. (ed.); Heikkola, Erkki (ed.); Joly, Patrick (ed.); Neittaanmäki, Pekka (ed.) 8 2003 Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011Haddar, H.; Joly, P. 8 2001 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 A new nonconforming finite element method for the computation of electromagnetic guided waves. I: Mathematical analysis. Zbl 0861.65092Joly, Patrick; Poirier, Christine; Roberts, J. E.; Trouve, P. 8 1996 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 0870.65085Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 8 1995 Mathematical analysis of the propagation of elastic guided waves in heterogeneous media. Zbl 0714.35045Bamberger, A.; Dermenjian, Y.; Joly, P. 8 1990 On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427Bécache, Éliane; Joly, Patrick; Vinoles, Valentin 7 2018 Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187Joly, Patrick; Rodríguez, Jerónimo 7 2017 Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013Imperiale, Sebastien; Joly, Patrick 7 2012 Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183Ezziani, Abdelaâziz; Joly, Patrick 7 2010 Mathematical analysis of electromagnetic open waveguides. Zbl 0834.35126Joly, Patrick; Poirier, Christine 7 1995 Numerical diffraction by a uniform grid. Zbl 0659.65079Bamberger, A.; Guillot, Jean-Claude; Joly, Patrick 7 1988 Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick 6 2016 An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003Joly, Patrick 6 2012 Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092Joly, P.; Rodríguez, J. 6 2010 Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. Zbl 0739.73009Bamberger, A.; Joly, P.; Kern, M. 6 1991 Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032Imperiale, Sébastien; Joly, Patrick 5 2014 Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021Joly, Patrick; Semin, Adrien 5 2011 A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S. 5 2006 A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick 5 2004 Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 5 2001 Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. Zbl 0931.65112Joly, Patrick; Rhaouti, Leïla 5 1999 Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation. Zbl 0839.35074Collino, F.; Joly, P. 5 1995 Mathematical modelling of multi conductor cables. Zbl 1321.35218Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick 4 2015 High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick 4 2014 Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007Fliss, Sonia; Joly, Patrick 4 2012 The mathematical model for elastic wave propagation. Zbl 1162.74021Joly, Patrick 4 2008 Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072Haddar, H.; Joly, P. 4 2001 Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. Zbl 0929.35031Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier 4 1999 Domain decomposition method for harmonic wave equations. Zbl 0870.65109Ghanemi, S.; Collino, F.; Joly, P. 4 1995 A principle of images for absorbing boundary conditions. Zbl 0822.65061Duong, T. Ha; Joly, P. 4 1994 Absorbing boundary conditions for linear gravity waves. Zbl 0799.35182Dgaygui, Kebir; Joly, Patrick 4 1994 Maxwell equations in polarizable media. Zbl 0665.65098Cockburn, Bernardo; Joly, Patrick 4 1988 Absorbing boundary conditions for Rayleigh waves. Zbl 0655.73013Bamberger, Alain; Chalindar, Bruno; Joly, Patrick; Roberts, Jean Elizabeth; Teron, Jean Luc 4 1988 Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta 3 2017 Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188Imperiale, Sébastien; Joly, Patrick 3 2012 Numerical methods for treating unbounded media. Zbl 1286.74039Joly, Patrick; Tsogka, C. 3 2008 Numerical simulation of a guitar. Zbl 1047.76115Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick 3 2003 A method for computing guided waves in integrated optics. II: Numerical approximation and error analysis. Zbl 1017.65085Gómez Pedreira, Dolores; Joly, Patrick 3 2002 A new second order 3D edge element on tetrahedra for time dependent Maxwell’s equations. Zbl 0995.78040Joly, Patrick; Poirier, Christine 3 2000 Analysis of the fictitious domain method for the exterior Helmholtz problem. Zbl 0807.65069Atamian, C.; Joly, P. 3 1993 New results for guided waves in heterogeneous elastic media. Zbl 0756.35108Joly, Patrick; Weder, Ricardo 3 1992 Pseudo-transparent boundary conditions for the diffusion equation. I. Zbl 0705.35055Joly, P. 3 1989 The electric field in the conductive half space as a model in mining and petroleum prospecting. Zbl 0693.65088Goldman, Y.; Joly, P.; Kern, M. 3 1989 Propagation d’ondes élastiques guidées par la surface d’une cavité cylindrique de section arbitraire. (Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section). Zbl 0617.73029Bamberger, Alain; Joly, Patrick; Kern, Michel 3 1987 Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna 2 2017 Time domain simulation of a piano. I: Model description. Zbl 1301.00044Chabassier, J.; Chaigne, A.; Joly, P. 2 2014 Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054Coatléven, J.; Joly, P. 2 2012 Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018Joly, Patrick; Kachanovska, Maryna; Semin, Adrien 1 2019 On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427Bécache, Éliane; Joly, Patrick; Vinoles, Valentin 7 2018 Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Zbl 1407.65177Albella Martínez, Jorge; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo 1 2018 Well-posedness of a generalized time-harmonic transport equation for acoustics in flow. Zbl 06901735Bensalah, A.; Joly, P.; Mercier, J.-f. 1 2018 Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna 10 2017 Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426Cassier, Maxence; Hazard, Christophe; Joly, Patrick 8 2017 Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187Joly, Patrick; Rodríguez, Jerónimo 7 2017 Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta 3 2017 Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna 2 2017 Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260Fliss, Sonia; Joly, Patrick 13 2016 Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick 6 2016 Time domain simulation of a piano. II: Numerical aspects. Zbl 1381.00017Chabassier, Juliette; Duruflé, Marc; Joly, Patrick 1 2016 Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin 8 2015 Mathematical modelling of multi conductor cables. Zbl 1321.35218Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick 4 2015 Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032Imperiale, Sébastien; Joly, Patrick 5 2014 High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick 4 2014 Time domain simulation of a piano. I: Model description. Zbl 1301.00044Chabassier, J.; Chaigne, A.; Joly, P. 2 2014 On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems. Zbl 1288.78016Delourme, Berangere; Haddar, Houssem; Joly, Patrick 8 2013 Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160Delourme, Bérangère; Haddar, Houssem; Joly, Patrick 24 2012 Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013Imperiale, Sebastien; Joly, Patrick 7 2012 An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003Joly, Patrick 6 2012 Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007Fliss, Sonia; Joly, Patrick 4 2012 Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188Imperiale, Sébastien; Joly, Patrick 3 2012 Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054Coatléven, J.; Joly, P. 2 2012 Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition. Zbl 1299.35184Burel, Alienor; Impériale, Sebastien; Joly, Patrick 2 2012 Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle 21 2011 Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021Joly, Patrick; Semin, Adrien 5 2011 Stability of acoustic propagation in 2D duct flows: a low frequency approach. Zbl 1238.35065Bonnet-Ben Dhia, A.-S.; Durufle, M.; Joly, P.; Joubert, L. 2 2011 Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146Chabassier, J.; Joly, P. 12 2010 Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183Ezziani, Abdelaâziz; Joly, Patrick 7 2010 Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092Joly, P.; Rodríguez, J. 6 2010 Analysis of acoustic wave propagation in a thin moving fluid. Zbl 1211.35225Joly, Patrick; Weder, Ricardo 1 2010 Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311Fliss, Sonia; Joly, Patrick 13 2009 Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057Durufle, M.; Grob, P.; Joly, P. 12 2009 Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 25 2008 Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070Gilbert, J. Charles; Joly, Patrick 13 2008 Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422Joly, Patrick; Semin, Adrien 10 2008 Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348Joly, Patrick; Tordeux, Sébastien 10 2008 The mathematical model for elastic wave propagation. Zbl 1162.74021Joly, Patrick 4 2008 Numerical methods for treating unbounded media. Zbl 1286.74039Joly, Patrick; Tsogka, C. 3 2008 Finite element methods with discontinuous displacement. Zbl 1286.74103Joly, Patrick; Tsogka, C. 2 2008 Finite element methods with continuous displacement. Zbl 1138.74048Joly, Patrick 2 2008 Space time mesh refinement methods. Zbl 1286.74098Derveaux, G.; Joly, P.; Rodríguez, J. 1 2008 Fictitious domain methods for wave diffraction. Zbl 1163.74029Joly, Patrick; Tsogka, C. 1 2008 Conservative coupling between finite elements and retarded potentials. Application to vibroacoustics. Zbl 1277.76057Grob, P.; Joly, P. 2 2007 A time domain analysis of PML models in acoustics. Zbl 1119.76046Diaz, J.; Joly, P. 37 2006 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008Joly, P.; Li, J.-R.; Fliss, S. 23 2006 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347Joly, Patrick; Tordeux, Sébastien 20 2006 Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015Collino, F.; Fouquet, T.; Joly, P. 18 2006 Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174Joly, Patrick; Tordeux, Sébastien 13 2006 A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S. 5 2006 Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 25 2005 An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062Diaz, Julien; Joly, Patrick 13 2005 An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095Joly, Patrick; Rodriguez, Jerónimo 9 2005 Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030Bécache, E.; Joly, P.; Rodríguez, J. 8 2005 Robust high-order non-conforming finite element formulation for time domain fluid-structure interaction. Zbl 1189.76337Diaz, Julien; Joly, Patrick 2 2005 An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick 1 2005 A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick 5 2004 Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335Bécache, E.; Fauqueux, S.; Joly, P. 86 2003 Variational methods for time-dependent wave propagation problems. Zbl 1049.78028Joly, Patrick 25 2003 A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089Collino, F.; Fouquet, T.; Joly, P. 20 2003 A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073Collino, F.; Fouquet, T.; Joly, P. 15 2003 Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116Diaz, Julien; Joly, Patrick 9 2003 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072Cohen, Gary C. (ed.); Heikkola, Erkki (ed.); Joly, Patrick (ed.); Neittaanmäki, Pekka (ed.) 8 2003 Numerical simulation of a guitar. Zbl 1047.76115Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick 3 2003 Homogenized model for a laminar ferromagnetic medium. Zbl 1064.78007Haddar, H.; Joly, P. 1 2003 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032Bécache, Eliane; Joly, Patrick 41 2002 A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049Bécache, E.; Joly, P.; Tsogka, C. 24 2002 Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008Haddar, H.; Joly, P. 18 2002 A method for computing guided waves in integrated optics. II: Numerical approximation and error analysis. Zbl 1017.65085Gómez Pedreira, Dolores; Joly, Patrick 3 2002 Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings. Zbl 1142.78308Haddar, H.; Joly, P. 1 2002 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N. 65 2001 Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156Bécache, E.; Joly, P.; Tsogka, C. 18 2001 Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011Haddar, H.; Joly, P. 8 2001 Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 5 2001 Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072Haddar, H.; Joly, P. 4 2001 A method for computing guided waves in integrated optics. I: Mathematical analysis. Zbl 1014.35067Gómez Pedreira, Dolores; Joly, Patrick 1 2001 Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134Collino, Francis; Ghanemi, Souad; Joly, Patrick 39 2000 An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102Bécache, E.; Joly, P.; Tsogka, C. 25 2000 Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060Anné, Laurent; Joly, Patrick; Tran, Quang Huy 9 2000 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 A new second order 3D edge element on tetrahedra for time dependent Maxwell’s equations. Zbl 0995.78040Joly, Patrick; Poirier, Christine 3 2000 Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques. Zbl 1074.74647Bécache, Eliane; Collino, Francis; Joly, Patrick 1 2000 An explicit finite element scheme for time-dependent Kirchhoff-Love equations. Zbl 1072.74546Bécache, Éliane; Derveaux, Grégoire; Joly, Patrick 1 2000 Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10–14, 2000. Zbl 0943.00077Bermúdez, Alfredo (ed.); Gómez, Dolores (ed.); Hazard, Christophe (ed.); Joly, Patrick (ed.); Roberts, Jean E. (ed.) 1 2000 Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P. 15 1999 Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003Joly, Patrick; Vacus, Olivier 13 1999 Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. Zbl 0931.65112Joly, Patrick; Rhaouti, Leïla 5 1999 Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. Zbl 0929.35031Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier 4 1999 A space-time mesh refinement method for the 1D Maxwell’s system. Zbl 0934.78002Collino, Francis; Fouquet, Thierry; Joly, Patrick 2 1999 A numerical method for surface waves in a cylindrically perturbed elastic half-space. I: Construction and analysis. Zbl 0937.35111Duterte, Jean; Joly, Patrick 1 1999 A numerical method for the computation of electromagnetic modes in optical fibres. Zbl 0922.65088Joly, Patrick; Poirier, Christine 1 1999 Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311Collino, Francis; Joly, Patrick; Millot, Florence 19 1997 A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations. Zbl 0902.65074Collino, P.; Delbue, G.; Joly, P.; Piacentini, A. 12 1997 Edge finite elements and mass lumping for Maxwell’s equations: The 2D case. Zbl 0877.65081Elmkies, Alexandre; Joly, Patrick 11 1997 Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. Zbl 0893.65068Elmkies, Alexandre; Joly, Patrick 9 1997 Mixed finite elements and mass lumping for linear elastodynamics. I: Construction. Zbl 0895.73064Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula 2 1997 Electromagnetic waves propagation in 1D ferromagnetic medium: An existence and uniqueness result. Zbl 0874.35121Joly, Patrick; Vacus, Olivier 2 1997 Construction and analysis of a new mixed finite element allowing mass lumping. Zbl 0877.65072Bécache, Éliane; Joly, Patrick; Tsogka, Chrysoula 1 1997 Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media. Zbl 0863.65048Cohen, Gary; Joly, Patrick 33 1996 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,220 Authors 52 Joly, Patrick 22 Nazarov, Sergeĭ Aleksandrovich 20 Li, Jichun 15 Hagstrom, Thomas M. 14 Imperiale, Sébastien 13 Nguyen, Hoai-Minh 13 Schmidt, Kersten 12 Bécache, Eliane 12 Givoli, Dan 11 Grote, Marcus J. 11 Kreiss, Gunilla 10 Collino, Francis 10 Duru, Kenneth 10 Duruflé, Marc 10 Haddar, Houssem 10 Huang, Yunqing 9 Gander, Martin Jakob 8 Fliss, Sonia 8 Geuzaine, Christophe A. 8 Sayas, Francisco-Javier 8 Tsynkov, Semyon V. 7 Antoine, Xavier 7 Bendali, Abderrahmane 7 Bonnet-Ben Dhia, Anne-Sophie 7 Chabassier, Juliette 7 Demkowicz, Leszek F. 7 Diaz, Julien 7 Dolean, Victorita 7 Gimperlein, Heiko 7 Halpern, Laurence 7 Lanteri, Stéphane 7 Lombard, Bruno 7 Magoulès, Frédéric 7 Nataf, Frédéric 7 Péron, Victor 7 Piperno, Serge 7 Rodríguez, Jerónimo 7 Semin, Adrien 7 Tordeux, Sébastien 6 Boubendir, Yassine 6 Delourme, Bérangère 6 Hu, Fang Qi 6 Kachanovska, Maryna 6 Lee, Jin-Fa 6 Mattsson, Ken 6 Monk, Peter B. 6 Schweizer, Ben 6 Toivanen, Jari 6 Tsogka, Chrysoula 5 Barucq, Hélène 5 Bielak, Jacobo 5 Cimrák, Ivan 5 Cockburn, Bernardo 5 Cohen, Gary C. 5 Dauge, Monique 5 Després, Bruno 5 Geevers, Sjoerd 5 Heikkola, Erkki 5 Lechleiter, Armin 5 Liao, Wenyuan 5 Lisitsa, Vadim 5 Rabinovich, Daniel 5 Slodička, Marián 5 Stephan, Ernst Peter 5 Turkel, Eli L. 5 Zhang, Ruming 5 Zhang, Wensheng 4 Abgrall, Rémi 4 Appelö, Daniel 4 Beilina, Larisa 4 Cakoni, Fioralba 4 Claeys, Xavier 4 Craster, Richard V. 4 Dohnal, Tomáš 4 Egger, Herbert 4 Ehrhardt, Matthias 4 Falletta, Silvia 4 Guddati, Murthy N. 4 Hiptmair, Ralf 4 Kaltenbacher, Barbara 4 Lipnikov, Konstantin N. 4 Maday, Yvon 4 Marigo, Jean-Jacques 4 Matuszyk, Paweł Jerzy 4 Maurel, Agnès 4 Nicaise, Serge 4 Özdemir, Ceyhun 4 Peng, Zhen 4 Pinaud, Olivier 4 Piraux, Joël 4 Rauch, Jeffrey B. 4 Soares, Delfim jun. 4 Stark, David R. 4 Symes, William W. 4 Taskinen, Jari 4 Tcheverda, Vladimir A. 4 van der Vegt, Jaap J. W. 4 Vial, Grégory 4 Warburton, Timothy 3 Angot, Philippe ...and 1,120 more Authors all top 5 Cited in 144 Serials 161 Journal of Computational Physics 59 Computer Methods in Applied Mechanics and Engineering 56 Journal of Computational and Applied Mathematics 32 Wave Motion 32 Journal of Scientific Computing 27 Applied Numerical Mathematics 25 SIAM Journal on Scientific Computing 21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 International Journal for Numerical Methods in Engineering 18 Computers & Mathematics with Applications 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Mathematics of Computation 16 Numerische Mathematik 15 M\(^3\)AS. 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Theory, Methods & Applications. Series A: Theory and Methods 2 COMPEL 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 Calculus of Variations and Partial Differential Equations 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Applied Mechanics and Technical Physics 2 International Journal of Numerical Modelling 2 Engineering Computations 2 Doklady Physics 2 Archives of Computational Methods in Engineering 2 Central European Journal of Mathematics 2 Inverse Problems and Imaging 2 Discrete and Continuous Dynamical Systems. 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Series A 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Concurrency: Practice and Experience 1 Computational Optimization and Applications 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics ...and 44 more Serials all top 5 Cited in 40 Fields 488 Numerical analysis (65-XX) 448 Partial differential equations (35-XX) 242 Optics, electromagnetic theory (78-XX) 194 Mechanics of deformable solids (74-XX) 176 Fluid mechanics (76-XX) 34 Geophysics (86-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Operator theory (47-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 13 Quantum theory (81-XX) 8 Ordinary differential equations (34-XX) 8 Systems theory; control (93-XX) 7 Approximations and expansions (41-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Integral equations (45-XX) 4 Special functions (33-XX) 4 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year