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Author ID: joly.patrick Recent zbMATH articles by "Joly, Patrick"
Published as: Joly, Patrick; Joly, P.; July, Patrick
Homepage: https://uma.ensta-paris.fr/~pjoly
External Links: MGP · Math-Net.Ru · dblp · IdRef · theses.fr
Videos: carmin.tv
all top 5

Co-Authors

12 single-authored
20 Bécache, Eliane
15 Collino, Francis
12 Haddar, Houssem
10 Bamberger, Alain
10 Rodríguez, Jerónimo
9 Cohen, Gary C.
9 Fliss, Sonia
9 Imperiale, Sébastien
9 Roberts, Jean Elizabeth
9 Tsogka, Chrysoula
8 Kachanovska, Maryna
6 Bonnet-Ben Dhia, Anne-Sophie
6 Vacus, Olivier
5 Cassier, Maxence
5 Delourme, Bérangère
5 Diaz, Julien
5 Duruflé, Marc
5 Fouquet, Thierry
5 Poirier, Christine
5 Tordeux, Sébastien
4 Derveaux, Grégoire
4 Ha-Duong, Tuong
4 Kern, Michel
4 Tordjman, Nathalie
3 Beck, Geoffrey M.
3 Bermúdez, Alfredo
3 Chabassier, Juliette
3 Duterte, Jean
3 Elmkies, Alexandre
3 Guillot, Jean-Claude
3 Halpern, Laurence
3 Hazard, Christophe
3 Hiptmair, Ralf
3 Hoppe, Ronald H. W.
3 Langer, Ulrich
3 Nguyen, Hoai-Minh
3 Parolin, Emile
3 Semin, Adrien
3 Vasilevskaya, Elizaveta
2 Albella Martínez, Jorge
2 Amenoagbadji, Pierre
2 Bensalah, Antoine
2 Burel, Alienor
2 Chaigne, Antoine
2 Claeys, Xavier
2 Cockburn, Bernardo
2 Engquist, Bjorn E.
2 Ezziani, Abdelaâziz
2 Ghanemi, Souad
2 Gómez Pedreira, Dolores
2 Grob, P.
2 Joubert, Lauris
2 Komech, Alexander Ilich
2 Martínez, Luis Alejandro Rosas
2 Mercier, Jean-François
2 Millot, Florence
2 Pedreira, D. Gómez
2 Rhaouti, Leïla
2 Vinoles, Valentin
2 Weder, Ricardo A.
1 Abboud, Toufic
1 Alboin, Clarisse
1 Anné, Laurent
1 Atamian, C.
1 Barucq, Hélène
1 Beni Hamad, Akram
1 Berriri, Kamel
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 Lecouvez, Matthieu
1 Lenoir, Marc
1 Lescarret, Vincent
1 Li, Jing-Rebecca
1 Lohrengel, Stephanie
1 Moitier, Zoïs
1 Neittaanmäki, Pekka J.
1 Oñate Ibáñez de Navarra, Eugenio
1 Périaux, Jacques F.
1 Piacentini, Andrea
1 Pironneau, Olivier
1 Schmidt, Kersten
1 Serres, Christophe
1 Teron, Jean Luc
1 Terrasse, Isabelle
1 Thöns-Zueva, Anastasia
1 Tlili, Jamel
...and 3 more Co-Authors
all top 5

Serials

12 SIAM Journal on Numerical Analysis
8 SIAM Journal on Applied Mathematics
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Computer Methods in Applied Mechanics and Engineering
7 Comptes Rendus de l’Académie des Sciences. Série I
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 Mathematics of Computation
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 SIAM Journal on Scientific Computing
3 Computational Geosciences
3 Oberwolfach Reports
2 Wave Motion
2 Communications in Partial Differential Equations
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 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 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 Computational Methods in Applied Mathematics
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 Pure and Applied Analysis
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 1,960 times in 1,251 Documents Cited by Year
Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335
Bécache, E.; Fauqueux, S.; Joly, P.
108
2003
Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077
Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N.
105
2001
Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134
Collino, Francis; Ghanemi, Souad; Joly, Patrick
60
2000
A time domain analysis of PML models in acoustics. Zbl 1119.76046
Diaz, J.; Joly, P.
53
2006
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032
Bécache, Eliane; Joly, Patrick
53
2002
A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049
Bécache, E.; Joly, P.; Tsogka, C.
43
2002
Variational methods for time-dependent wave propagation problems. Zbl 1049.78028
Joly, Patrick
43
2003
A domain decomposition method for the harmonic Maxwell equations. Zbl 0785.65117
Despres, Bruno; Joly, Patrick; Roberts, Jean E.
42
1992
Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160
Delourme, Bérangère; Haddar, Houssem; Joly, Patrick
42
2012
Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh
39
2005
Second-order absorbing boundary conditions for the wave equation: A solution for the corner problem. Zbl 0716.35036
Bamberger, Alain; Joly, Patrick; Roberts, Jean E.
39
1990
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
39
2006
Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh
39
2008
Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media. Zbl 0863.65048
Cohen, Gary; Joly, Patrick
38
1996
Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081
Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle
35
2011
An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102
Bécache, E.; Joly, P.; Tsogka, C.
34
2000
Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
33
1988
Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004
Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna
33
2017
Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055
Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P.
30
1988
Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347
Joly, Patrick; Tordeux, Sébastien
30
2006
Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260
Fliss, Sonia; Joly, Patrick
30
2016
A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089
Collino, F.; Fouquet, T.; Joly, P.
28
2003
Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057
Durufle, M.; Grob, P.; Joly, P.
24
2009
A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073
Collino, F.; Fouquet, T.; Joly, P.
24
2003
Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311
Collino, Francis; Joly, Patrick; Millot, Florence
23
1997
Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311
Fliss, Sonia; Joly, Patrick
23
2009
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015
Collino, F.; Fouquet, T.; Joly, P.
22
2006
Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156
Bécache, E.; Joly, P.; Tsogka, C.
22
2001
Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070
Gilbert, J. Charles; Joly, Patrick
22
2008
Mathematical analysis of guided water waves. Zbl 0787.76007
Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick
21
1993
Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008
Haddar, H.; Joly, P.
21
2002
A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069
Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick
20
2004
On the stability analysis of boundary conditions for the wave equation by energy methods. I: The homogeneous case. Zbl 0829.35063
Ha-Duong, T.; Joly, P.
20
1994
A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations. Zbl 0902.65074
Collino, P.; Delbue, G.; Joly, P.; Piacentini, A.
19
1997
Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174
Joly, Patrick; Tordeux, Sébastien
18
2006
Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426
Cassier, Maxence; Hazard, Christophe; Joly, Patrick
18
2017
Higher-order finite elements with mass-lumping for the 1D wave equation. Zbl 0865.65072
Cohen, Gary; Joly, Patrick; Tordjman, Nathalie
17
1994
An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095
Joly, Patrick; Rodriguez, Jerónimo
17
2005
Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187
Joly, Patrick; Rodríguez, Jerónimo
17
2017
Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034
Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P.
17
1999
Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422
Joly, Patrick; Semin, Adrien
17
2008
Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013
Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin
16
2015
An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062
Diaz, Julien; Joly, Patrick
15
2005
Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146
Chabassier, J.; Joly, P.
15
2010
Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348
Joly, Patrick; Tordeux, Sébastien
14
2008
Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003
Joly, Patrick; Vacus, Olivier
14
1999
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu
14
2020
Edge finite elements and mass lumping for Maxwell’s equations: The 2D case. (Éléments finis d’arête et condensation de masse pour la équations de Maxwell: Le cas 2D.) Zbl 0877.65081
Elmkies, Alexandre; Joly, Patrick
13
1997
An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003
Joly, Patrick
13
2012
Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092
Joly, P.; Rodríguez, J.
12
2010
On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems. Zbl 1288.78016
Delourme, Berangere; Haddar, Houssem; Joly, Patrick
12
2013
Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312
Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick
12
2016
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427
Bécache, Éliane; Joly, Patrick; Vinoles, Valentin
12
2018
Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030
Bécache, E.; Joly, P.; Rodríguez, J.
11
2005
Fourth order schemes for the heterogeneous acoustics equation. Zbl 0733.76053
Cohen, G.; Joly, P.
11
1990
Mathematical analysis of electromagnetic open waveguides. Zbl 0834.35126
Joly, Patrick; Poirier, Christine
11
1995
Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060
Anné, Laurent; Joly, Patrick; Tran, Quang Huy
11
2000
Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183
Ezziani, Abdelaâziz; Joly, Patrick
10
2010
Higher order triangular finite elements with mass lumping for the wave equation. Zbl 0870.65085
Cohen, Gary; Joly, Patrick; Tordjman, Nathalie
10
1995
Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032
Imperiale, Sébastien; Joly, Patrick
10
2014
Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. (Éléments finis d’arête et condensation de masse pour les équations de Maxwell: Le cas de dimension 3.) Zbl 0893.65068
Elmkies, Alexandre; Joly, Patrick
10
1997
Construction and analysis of higher order finite elements with mass lumping for the wave equation. Zbl 0814.65096
Cohen, Gary; Joly, Patrick; Tordjman, Nathalie
9
1993
Mathematical modelling of multi conductor cables. Zbl 1321.35218
Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick
9
2015
Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116
Diaz, Julien; Joly, Patrick
9
2003
Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021
Joly, Patrick; Semin, Adrien
9
2011
Mathematical analysis of the propagation of elastic guided waves in heterogeneous media. Zbl 0714.35045
Bamberger, A.; Dermenjian, Y.; Joly, P.
8
1990
Numerical diffraction by a uniform grid. Zbl 0659.65079
Bamberger, A.; Guillot, Jean-Claude; Joly, Patrick
8
1988
Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007
Fliss, Sonia; Joly, Patrick
8
2012
Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013
Imperiale, Sebastien; Joly, Patrick
8
2012
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 1029.00072
8
2003
On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005
Joly, Patrick; Komech, Alexander; Vacus, Olivier
8
2000
Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011
Haddar, H.; Joly, P.
8
2001
A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033
Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S.
8
2006
An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060
Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick
7
2005
A new nonconforming finite element method for the computation of electromagnetic guided waves. I: Mathematical analysis. Zbl 0861.65092
Joly, Patrick; Poirier, Christine; Roberts, J. E.; Trouve, P.
7
1996
Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation. Zbl 0839.35074
Collino, F.; Joly, P.
7
1995
Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. (Un résultat d’existence et d’unicité pour l’équation de Helmholtz avec conditions aux limites absorbantes d’ordre 2.) Zbl 0929.35031
Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier
7
1999
Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029
Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta
7
2017
Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003
Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna
7
2017
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188
Imperiale, Sébastien; Joly, Patrick
7
2012
Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. Zbl 0739.73009
Bamberger, A.; Joly, P.; Kern, M.
6
1991
The mathematical model for elastic wave propagation. Zbl 1162.74021
Joly, Patrick
6
2008
Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054
Coatléven, J.; Joly, P.
6
2012
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
6
2020
Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013
Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick
6
2001
Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Zbl 1407.65177
Albella Martínez, Jorge; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo
6
2018
Absorbing boundary conditions for linear gravity waves. Zbl 0799.35182
Dgaygui, Kebir; Joly, Patrick
5
1994
Analysis of the fictitious domain method for the exterior Helmholtz problem. (Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur.) Zbl 0807.65069
Atamian, C.; Joly, P.
5
1993
Numerical methods for elastic wave propagation. Zbl 1173.74020
Joly, Patrick
5
2007
High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217
Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick
5
2014
Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072
Haddar, H.; Joly, P.
5
2001
Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. (Domaines fictifs, éléments finis \(\text{H(div)}\) et condition de Neumann: Le problème de la condition inf-sup.) Zbl 0931.65112
Joly, Patrick; Rhaouti, Leïla
5
1999
Domain decomposition method for harmonic wave equations. Zbl 0870.65109
Ghanemi, S.; Collino, F.; Joly, P.
4
1995
Finite element methods with discontinuous displacement. Zbl 1286.74103
Joly, Patrick; Tsogka, C.
4
2008
A principle of images for absorbing boundary conditions. Zbl 0822.65061
Duong, T. Ha; Joly, P.
4
1994
Absorbing boundary conditions for Rayleigh waves. Zbl 0655.73013
Bamberger, Alain; Chalindar, Bruno; Joly, Patrick; Roberts, Jean Elizabeth; Teron, Jean Luc
4
1988
Maxwell equations in polarizable media. Zbl 0665.65098
Cockburn, Bernardo; Joly, Patrick
4
1988
Robust high-order non-conforming finite element formulation for time domain fluid-structure interaction. Zbl 1189.76337
Diaz, Julien; Joly, Patrick
4
2005
Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018
Joly, Patrick; Kachanovska, Maryna; Semin, Adrien
4
2019
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. Zbl 1512.65214
Martínez, Jorge Albella; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo
4
2021
Spectral theory for Maxwell’s equations at the interface of a metamaterial. II: Limiting absorption, limiting amplitude principles and interface resonance. Zbl 1495.35166
Cassier, Maxence; Hazard, Christophe; Joly, Patrick
3
2022
An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables. Zbl 1497.65161
Beni Hamad, Akram; Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick
2
2022
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. Zbl 1512.65214
Martínez, Jorge Albella; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo
4
2021
Local transparent boundary conditions for wave propagation in fractal trees. I: Method and numerical implementation. Zbl 1491.65095
Joly, Patrick; Kachanovska, Maryna
1
2021
A Dirichlet-to-Neumann approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity. Zbl 1485.35126
Fliss, Sonia; Joly, Patrick; Lescarret, Vincent
1
2021
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu
14
2020
Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148
Joly, Patrick; Kachanovska, Maryna
6
2020
A discrete domain decomposition method for acoustics with uniform exponential rate of convergence using non-local impedance operators. Zbl 1502.65240
Claeys, Xavier; Collino, Francis; Joly, Patrick; Parolin, Emile
3
2020
Asymptotic modelling of skin-effects in coaxial cables. Zbl 1458.35400
Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick
1
2020
Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018
Joly, Patrick; Kachanovska, Maryna; Semin, Adrien
4
2019
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427
Bécache, Éliane; Joly, Patrick; Vinoles, Valentin
12
2018
Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Zbl 1407.65177
Albella Martínez, Jorge; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo
6
2018
Well-posedness of a generalized time-harmonic transport equation for acoustics in flow. Zbl 1499.76098
Bensalah, A.; Joly, P.; Mercier, J.-f.
3
2018
Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004
Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna
33
2017
Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426
Cassier, Maxence; Hazard, Christophe; Joly, Patrick
18
2017
Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187
Joly, Patrick; Rodríguez, Jerónimo
17
2017
Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029
Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta
7
2017
Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003
Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna
7
2017
Existence of guided waves due to a lineic perturbation of a 3D periodic medium. Zbl 1384.35124
Delourme, Bérangère; Joly, Patrick; Vasilevskaya, Elizaveta
1
2017
Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260
Fliss, Sonia; Joly, Patrick
30
2016
Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312
Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick
12
2016
Time domain simulation of a piano. II: Numerical aspects. Zbl 1381.00017
Chabassier, Juliette; Duruflé, Marc; Joly, Patrick
1
2016
Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013
Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin
16
2015
Mathematical modelling of multi conductor cables. Zbl 1321.35218
Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick
9
2015
Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032
Imperiale, Sébastien; Joly, Patrick
10
2014
High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217
Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick
5
2014
Time domain simulation of a piano. I: Model description. Zbl 1301.00044
Chabassier, 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 1288.78016
Delourme, Berangere; Haddar, Houssem; Joly, Patrick
12
2013
Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160
Delourme, Bérangère; Haddar, Houssem; Joly, Patrick
42
2012
An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003
Joly, Patrick
13
2012
Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007
Fliss, Sonia; Joly, Patrick
8
2012
Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013
Imperiale, Sebastien; Joly, Patrick
8
2012
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188
Imperiale, Sébastien; Joly, Patrick
7
2012
Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054
Coatléven, J.; Joly, P.
6
2012
Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition. Zbl 1299.35184
Burel, Alienor; Impériale, Sebastien; Joly, Patrick
2
2012
Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081
Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle
35
2011
Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021
Joly, Patrick; Semin, Adrien
9
2011
Stability of acoustic propagation in 2D duct flows: a low frequency approach. Zbl 1238.35065
Bonnet-Ben Dhia, A.-S.; Durufle, M.; Joly, P.; Joubert, L.
3
2011
Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146
Chabassier, J.; Joly, P.
15
2010
Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092
Joly, P.; Rodríguez, J.
12
2010
Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183
Ezziani, Abdelaâziz; Joly, Patrick
10
2010
Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057
Durufle, M.; Grob, P.; Joly, P.
24
2009
Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311
Fliss, Sonia; Joly, Patrick
23
2009
Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh
39
2008
Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070
Gilbert, J. Charles; Joly, Patrick
22
2008
Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422
Joly, Patrick; Semin, Adrien
17
2008
Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348
Joly, Patrick; Tordeux, Sébastien
14
2008
The mathematical model for elastic wave propagation. Zbl 1162.74021
Joly, Patrick
6
2008
Finite element methods with discontinuous displacement. Zbl 1286.74103
Joly, Patrick; Tsogka, C.
4
2008
Numerical methods for treating unbounded media. Zbl 1286.74039
Joly, Patrick; Tsogka, C.
3
2008
Finite element methods with continuous displacement. Zbl 1138.74048
Joly, Patrick
2
2008
Fictitious domain methods for wave diffraction. Zbl 1163.74029
Joly, Patrick; Tsogka, C.
1
2008
Space time mesh refinement methods. Zbl 1286.74098
Derveaux, G.; Joly, P.; Rodríguez, J.
1
2008
Numerical methods for elastic wave propagation. Zbl 1173.74020
Joly, Patrick
5
2007
Conservative coupling between finite elements and retarded potentials. Application to vibroacoustics. Zbl 1277.76057
Grob, P.; Joly, P.
2
2007
A time domain analysis of PML models in acoustics. Zbl 1119.76046
Diaz, J.; Joly, P.
53
2006
Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008
Joly, P.; Li, J.-R.; Fliss, S.
39
2006
Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347
Joly, Patrick; Tordeux, Sébastien
30
2006
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015
Collino, F.; Fouquet, T.; Joly, P.
22
2006
Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174
Joly, Patrick; Tordeux, Sébastien
18
2006
A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033
Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S.
8
2006
Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102
Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh
39
2005
An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095
Joly, Patrick; Rodriguez, Jerónimo
17
2005
An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062
Diaz, Julien; Joly, Patrick
15
2005
Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030
Bécache, E.; Joly, P.; Rodríguez, J.
11
2005
An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060
Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick
7
2005
Robust high-order non-conforming finite element formulation for time domain fluid-structure interaction. Zbl 1189.76337
Diaz, Julien; Joly, Patrick
4
2005
A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069
Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick
20
2004
Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335
Bécache, E.; Fauqueux, S.; Joly, P.
108
2003
Variational methods for time-dependent wave propagation problems. Zbl 1049.78028
Joly, Patrick
43
2003
A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089
Collino, F.; Fouquet, T.; Joly, P.
28
2003
A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073
Collino, F.; Fouquet, T.; Joly, P.
24
2003
Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116
Diaz, 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 1029.00072
8
2003
Homogenized model for a laminar ferromagnetic medium. Zbl 1064.78007
Haddar, H.; Joly, P.
3
2003
Numerical simulation of a guitar. Zbl 1047.76115
Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick
2
2003
Mathematical and numerical modeling of wave propagation in linear viscoelastic media. Zbl 1055.74019
Bécache, Eliane; Eziani, Abdelaâziz; July, Patrick
1
2003
On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032
Bécache, Eliane; Joly, Patrick
53
2002
A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049
Bécache, E.; Joly, P.; Tsogka, C.
43
2002
Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008
Haddar, H.; Joly, P.
21
2002
A method for computing guided waves in integrated optics. II: Numerical approximation and error analysis. Zbl 1017.65085
Gómez Pedreira, Dolores; Joly, Patrick
3
2002
A comparison of methods for calculating the matrix block source term in a double porosity model for contaminant transport. Zbl 1094.76569
Alboin, Clarisse; Jaffré, Jérôme; Joly, Patrick; Roberts, Jean E.; Serres, Christophe
2
2002
Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings. Zbl 1142.78308
Haddar, H.; Joly, P.
1
2002
Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077
Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N.
105
2001
Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156
Bécache, E.; Joly, P.; Tsogka, C.
22
2001
Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011
Haddar, H.; Joly, P.
8
2001
Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013
Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick
6
2001
Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072
Haddar, H.; Joly, P.
5
2001
A method for computing guided waves in integrated optics. I: Mathematical analysis. Zbl 1014.35067
Gómez Pedreira, Dolores; Joly, Patrick
1
2001
Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134
Collino, Francis; Ghanemi, Souad; Joly, Patrick
60
2000
An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102
Bécache, E.; Joly, P.; Tsogka, C.
34
2000
Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060
Anné, Laurent; Joly, Patrick; Tran, Quang Huy
11
2000
On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005
Joly, Patrick; Komech, Alexander; Vacus, Olivier
8
2000
A new second order 3D edge element on tetrahedra for time dependent Maxwell’s equations. Zbl 0995.78040
Joly, Patrick; Poirier, Christine
3
2000
An explicit finite element scheme for time-dependent Kirchhoff-Love equations. Zbl 1072.74546
Bécache, 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 0943.00077
1
2000
Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034
Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P.
17
1999
Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003
Joly, Patrick; Vacus, Olivier
14
1999
Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. (Un résultat d’existence et d’unicité pour l’équation de Helmholtz avec conditions aux limites absorbantes d’ordre 2.) Zbl 0929.35031
Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier
7
1999
Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. (Domaines fictifs, éléments finis \(\text{H(div)}\) et condition de Neumann: Le problème de la condition inf-sup.) Zbl 0931.65112
Joly, Patrick; Rhaouti, Leïla
5
1999
...and 47 more Documents
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Cited by 1,638 Authors

61 Joly, Patrick
32 Li, Jichun
31 Nazarov, Sergeĭ Aleksandrovich
20 Imperiale, Sébastien
18 Gander, Martin Jakob
17 Hagstrom, Thomas M.
16 Bécache, Eliane
16 Huang, Yunqing
15 Givoli, Dan
14 Geuzaine, Christophe A.
14 Grote, Marcus J.
13 Antoine, Xavier
13 Collino, Francis
13 Dolean, Victorita
13 Fliss, Sonia
13 Haddar, Houssem
13 Kreiss, Gunilla
13 Schmidt, Kersten
12 Kachanovska, Maryna
12 Nguyen, Hoai-Minh
11 Tsynkov, Semyon V.
10 Claeys, Xavier
10 Duru, Kenneth
10 Gimperlein, Heiko
10 Lanteri, Stéphane
10 Nataf, Frédéric
10 Sayas, Francisco-Javier
9 Bonnet-Ben Dhia, Anne-Sophie
9 Chabassier, Juliette
9 Duruflé, Marc
9 Halpern, Laurence
9 Lombard, Bruno
9 Monk, Peter B.
9 Péron, Victor
9 Schweizer, Ben
9 Tordeux, Sébastien
9 Tsogka, Chrysoula
9 Turkel, Eli L.
9 Zhang, Ruming
9 Zhang, Wensheng
8 Demkowicz, Leszek
8 Diaz, Julien
8 Lee, Jin-Fa
8 Magoulès, Frédéric
8 Modave, Axel
8 Nicaise, Serge
8 Rodríguez, Jerónimo
8 Semin, Adrien
7 Abgrall, Rémi
7 Bendali, Abderrahmane
7 Cakoni, Fioralba
7 Després, Bruno
7 Piperno, Serge
7 Stephan, Ernst Peter
7 Toivanen, Jari
6 Barucq, Hélène
6 Boubendir, Yassine
6 Cassier, Maxence
6 Chesnel, Lucas
6 Ciarlet, Patrick jun.
6 Dauge, Monique
6 Delourme, Bérangère
6 Egger, Herbert
6 Falletta, Silvia
6 Geevers, Sjoerd
6 Hu, Fang Qi
6 Lechleiter, Armin
6 Liao, Wenyuan
6 Mattsson, Ken
6 Maurel, Agnès
6 Meddahi, Salim
6 Soares, Delfim jun.
6 Taskinen, Jari
6 Vial, Grégory
6 Zhang, Hui
5 Aimi, Alessandra
5 Beilina, Larisa
5 Bellis, Cédric
5 Bielak, Jacobo
5 Chung, Tsz Shun Eric
5 Cimrák, Ivan
5 Cockburn, Bernardo
5 Cohen, Gary C.
5 El Bouajaji, Mohamed
5 Ern, Alexandre
5 Guddati, Murthy N.
5 Heikkola, Erkki
5 Hu, Guanghui
5 Imperiale, Alexandre
5 Kirsch, Andreas
5 Lu, Wangtao
5 Maday, Yvon
5 Marigo, Jean-Jacques
5 Nicholls, David P.
5 Özdemir, Ceyhun
5 Parolin, Emile
5 Rabinovich, Daniel
5 Rauch, Jeffrey B.
5 Slodička, Marián
5 Thierry, Bertrand
...and 1,538 more Authors
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Cited in 184 Serials

198 Journal of Computational Physics
75 Computer Methods in Applied Mechanics and Engineering
64 Journal of Computational and Applied Mathematics
46 Journal of Scientific Computing
39 SIAM Journal on Scientific Computing
38 Wave Motion
34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
32 Applied Numerical Mathematics
31 SIAM Journal on Numerical Analysis
30 Computers & Mathematics with Applications
30 International Journal for Numerical Methods in Engineering
29 Numerische Mathematik
22 Mathematics of Computation
21 Mathematical Methods in the Applied Sciences
21 SIAM Journal on Applied Mathematics
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Journal of Mathematical Analysis and Applications
14 Journal of Computational Acoustics
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 BIT
12 Computational Mechanics
12 Numerical Methods for Partial Differential Equations
11 Applied Mathematics and Computation
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 SIAM Journal on Mathematical Analysis
10 Inverse Problems
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Computer Physics Communications
9 Journal of Differential Equations
9 Computational Methods in Applied Mathematics
8 Archive for Rational Mechanics and Analysis
8 Engineering Analysis with Boundary Elements
7 Applicable Analysis
7 Advances in Computational Mathematics
7 Multiscale Modeling & Simulation
6 Computers and Fluids
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Asymptotic Analysis
6 Communications in Partial Differential Equations
6 International Journal of Numerical Analysis and Modeling
6 Communications in Computational Physics
6 SN Partial Differential Equations and Applications
5 Journal of Mathematical Physics
5 Applied Mathematical Modelling
5 St. Petersburg Mathematical Journal
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Computational Geosciences
5 Advances in Applied Mathematics and Mechanics
4 Journal of Engineering Mathematics
4 Journal of Fluid Mechanics
4 Applied Mathematics Letters
4 Numerical Algorithms
4 Journal of Elasticity
4 Journal of Mathematical Sciences (New York)
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 European Journal of Mechanics. A. Solids
4 Mathematical Control and Related Fields
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 International Journal for Numerical Methods in Fluids
3 Calcolo
3 Mathematics and Computers in Simulation
3 Meccanica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 European Journal of Applied Mathematics
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Review
3 Numerical Linear Algebra with Applications
3 Computational and Applied Mathematics
3 Mathematics and Mechanics of Solids
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Evolution Equations
3 Oberwolfach Reports
3 Waves in Random and Complex Media
3 Journal of Physics A: Mathematical and Theoretical
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Journal of Theoretical and Computational Acoustics
3 SMAI Journal of Computational Mathematics
2 Mathematical Notes
2 Acta Applicandae Mathematicae
2 COMPEL
2 Journal of Integral Equations and Applications
2 International Journal of Computer Mathematics
2 Calculus of Variations and Partial Differential Equations
2 ETNA. Electronic Transactions on Numerical Analysis
2 Discrete and Continuous Dynamical Systems
2 Computing and Visualization in Science
2 Journal of Applied Mechanics and Technical Physics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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 Advances in Difference Equations
2 Inverse Problems and Imaging
2 Discrete and Continuous Dynamical Systems. Series S
2 Numerical Mathematics: Theory, Methods and Applications
2 Analysis and Mathematical Physics
2 East Asian Journal on Applied Mathematics
2 Pure and Applied Analysis
...and 84 more Serials
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Cited in 41 Fields

748 Numerical analysis (65-XX)
689 Partial differential equations (35-XX)
340 Optics, electromagnetic theory (78-XX)
280 Mechanics of deformable solids (74-XX)
238 Fluid mechanics (76-XX)
42 Geophysics (86-XX)
30 Operator theory (47-XX)
27 Statistical mechanics, structure of matter (82-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
18 Approximations and expansions (41-XX)
18 Quantum theory (81-XX)
15 Integral equations (45-XX)
15 Systems theory; control (93-XX)
10 Ordinary differential equations (34-XX)
9 Integral transforms, operational calculus (44-XX)
9 Biology and other natural sciences (92-XX)
8 Probability theory and stochastic processes (60-XX)
7 Potential theory (31-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Functional analysis (46-XX)
6 General and overarching topics; collections (00-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Functions of a complex variable (30-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Real functions (26-XX)
5 Special functions (33-XX)
4 Computer science (68-XX)
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2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Differential geometry (53-XX)
2 Mechanics of particles and systems (70-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Convex and discrete geometry (52-XX)
1 Operations research, mathematical programming (90-XX)

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