# zbMATH — the first resource for mathematics

## Collino, Francis

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 Author ID: collino.francis Published as: Collino, F.; Collino, Francis
 Documents Indexed: 42 Publications since 1990
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#### Co-Authors

 2 single-authored 12 Joly, Patrick 5 Fouquet, Thierry 5 Monk, Peter B. 4 Benamou, Jean-David 3 Bartoli, Nathalie 3 Bendali, Abderrahmane 3 Claeys, Xavier 3 Fares, M’Barek 2 Carayol, Quentin 2 Després, Bruno 2 Ghanemi, Souad 2 Haddar, Houssem 2 Marmorat, Simon 2 Millot, Florence 1 Assous, Franck 1 Bakry, Marc 1 Balin, Nolwenn 1 Bécache, Eliane 1 Boubendir, Yassine 1 Bouche, Daniel P. 1 Chaillat, Stéphanie 1 Dodu, Fabrice 1 Huttunen, Tomi 1 Kaipio, Jari P. 1 Lecouvez, Matthieu 1 Mirebeau, Jean-Marie 1 Morel, Yoann 1 Pernet, Sébastien 1 Runborg, Olof 1 Steif, Bassam 1 Sun, Jiguan 1 Thierry, Bertrand 1 Vacus, Olivier 1 Wang, Lei
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#### Serials

 5 Journal of Computational Physics 3 Numerische Mathematik 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Inverse Problems 2 Journal of Computational and Applied Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 IMA Journal of Numerical Analysis 1 Wave Motion 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Asymptotic Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 IEEE Transactions on Antennas and Propagation
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#### Fields

 26 Numerical analysis (65-XX) 24 Optics, electromagnetic theory (78-XX) 20 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

35 Publications have been cited 452 times in 369 Documents Cited by Year
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
High order absorbing boundary conditions for wave propagation models: Straight line boundary and corner cases. Zbl 0814.35065
Collino, Francis
1993
Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134
Collino, Francis; Ghanemi, Souad; Joly, Patrick
2000
Optimizing the perfectly matched layer. Zbl 1040.78524
Collino, F.; Monk, P. B.
1998
The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028
Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P.
2004
A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089
Collino, F.; Fouquet, T.; Joly, P.
2003
Monotone and consistent discretization of the Monge-Ampère operator. Zbl 1416.65400
Benamou, Jean-David; Collino, Francis; Mirebeau, Jean-Marie
2016
Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311
Collino, Francis; Joly, Patrick; Millot, Florence
1997
Perfectly matched absorbing layers for the paraxial equations. Zbl 0866.73013
Collino, Francis
1997
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015
Collino, F.; Fouquet, T.; Joly, P.
2006
Optimizing the perfectly matched layer. Zbl 0964.78018
Monk, P.; Collino, F.
1998
A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073
Collino, F.; Fouquet, T.; Joly, P.
2003
Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems. Zbl 1330.78010
Collino, Francis; Fares, M’Barek; Haddar, Houssem
2003
Error estimates in the fast multipole method for scattering problems. I. Truncation of the Jacobi-Anger series. Zbl 1077.41027
Carayol, Quentin; Collino, Francis
2004
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
2004
Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation. Zbl 0839.35074
Collino, F.; Joly, P.
1995
Extension to nonconforming meshes of the combined current and charge integral equation. Zbl 1369.78716
Bendali, Abderrahmane; Collino, Francis; Fares, Mbarek; Steif, Bassam
2012
An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325
Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei
2004
Integral equations via saddle point problems for time-harmonic Maxwell’s equations. Zbl 1016.65110
Collino, Francis; Despres, Bruno
2003
Domain decomposition method for harmonic wave equations. Zbl 0870.65109
Ghanemi, S.; Collino, F.; Joly, P.
1995
Numerical microlocal analysis of 2-D noisy harmonic plane and circular waves. Zbl 1276.78014
Benamou, J.-D.; Collino, F.; Marmorat, S.
2013
Integral equations via saddle point problem for 2D electromagnetic problems. Zbl 0964.78005
Bartoli, Nathalie; Collino, Francis
2000
A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics. Zbl 1373.65087
Bakry, Marc; Pernet, Sébastien; Collino, Francis
2017
Source point discovery through high frequency asymptotic time reversal. Zbl 1253.65140
Benamou, Jean-David; Collino, Francis; Marmorat, Simon
2012
Augmented Galerkin schemes for the numerical solution of scattering by small obstacles. Zbl 1258.76140
Claeys, X.; Collino, F.
2010
Domain decomposition methods and integral equation for solving Helmholtz diffraction problem. Zbl 0958.65136
Boubendir, Y.; Bendali, A.; Collino, F.
2000
A space-time mesh refinement method for the 1D Maxwell’s system. Zbl 0934.78002
Collino, Francis; Fouquet, Thierry; Joly, Patrick
1999
Fictitious domain method for unsteady problems: Application to electromagnetic scattering. Zbl 0870.65123
Millot, Florence; Collino, Francis; Joly, Patrick
1995
Asymptotic and numerical analysis for Holland and Simpson’s thin wire formalism. Zbl 1220.78031
Claeys, X.; Collino, F.
2011
Error estimates in the fast multipole method for scattering problems. II. Truncation of the Gegenbauer series. Zbl 1087.33007
Carayol, Quentin; Collino, Francis
2005
Domain decomposition and additive Schwarz techniques in the solution of a TE model of the scattering by an electrically deep cavity. Zbl 1152.78313
Balin, Nolwenn; Bendali, Abderrahmane; Collino, Francis
2005
Integral equations and saddle point formulation for scattering problems. Zbl 1034.35134
Collino, F.; Despres, B.
2002
Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques. Zbl 1074.74647
Bécache, Eliane; Collino, Francis; Joly, Patrick
2000
Integral equations via saddle point problem for acoustic problems. Zbl 1072.76611
Bartoli, Nathalie; Collino, Francis
2000
A numerical method for the exploration of sensitivity: The case of the identification of the 2D stratified elastic medium. Zbl 0709.73098
Assous, F.; Collino, F.
1990
A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics. Zbl 1373.65087
Bakry, Marc; Pernet, Sébastien; Collino, Francis
2017
Monotone and consistent discretization of the Monge-Ampère operator. Zbl 1416.65400
Benamou, Jean-David; Collino, Francis; Mirebeau, Jean-Marie
2016
Numerical microlocal analysis of 2-D noisy harmonic plane and circular waves. Zbl 1276.78014
Benamou, J.-D.; Collino, F.; Marmorat, S.
2013
Extension to nonconforming meshes of the combined current and charge integral equation. Zbl 1369.78716
Bendali, Abderrahmane; Collino, Francis; Fares, Mbarek; Steif, Bassam
2012
Source point discovery through high frequency asymptotic time reversal. Zbl 1253.65140
Benamou, Jean-David; Collino, Francis; Marmorat, Simon
2012
Asymptotic and numerical analysis for Holland and Simpson’s thin wire formalism. Zbl 1220.78031
Claeys, X.; Collino, F.
2011
Augmented Galerkin schemes for the numerical solution of scattering by small obstacles. Zbl 1258.76140
Claeys, X.; Collino, F.
2010
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015
Collino, F.; Fouquet, T.; Joly, P.
2006
Error estimates in the fast multipole method for scattering problems. II. Truncation of the Gegenbauer series. Zbl 1087.33007
Carayol, Quentin; Collino, Francis
2005
Domain decomposition and additive Schwarz techniques in the solution of a TE model of the scattering by an electrically deep cavity. Zbl 1152.78313
Balin, Nolwenn; Bendali, Abderrahmane; Collino, Francis
2005
The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028
Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P.
2004
Error estimates in the fast multipole method for scattering problems. I. Truncation of the Jacobi-Anger series. Zbl 1077.41027
Carayol, Quentin; Collino, Francis
2004
Numerical microlocal analysis of harmonic wavefields. Zbl 1067.78017
Benamou, Jean-David; Collino, Francis; Runborg, Olof
2004
An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325
Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei
2004
A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089
Collino, F.; Fouquet, T.; Joly, P.
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.
2003
Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems. Zbl 1330.78010
Collino, Francis; Fares, M’Barek; Haddar, Houssem
2003
Integral equations via saddle point problems for time-harmonic Maxwell’s equations. Zbl 1016.65110
Collino, Francis; Despres, Bruno
2003
Integral equations and saddle point formulation for scattering problems. Zbl 1034.35134
Collino, F.; Despres, B.
2002
Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134
Collino, Francis; Ghanemi, Souad; Joly, Patrick
2000
Integral equations via saddle point problem for 2D electromagnetic problems. Zbl 0964.78005
Bartoli, Nathalie; Collino, Francis
2000
Domain decomposition methods and integral equation for solving Helmholtz diffraction problem. Zbl 0958.65136
Boubendir, Y.; Bendali, A.; Collino, F.
2000
Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques. Zbl 1074.74647
Bécache, Eliane; Collino, Francis; Joly, Patrick
2000
Integral equations via saddle point problem for acoustic problems. Zbl 1072.76611
Bartoli, Nathalie; Collino, Francis
2000
A space-time mesh refinement method for the 1D Maxwell’s system. Zbl 0934.78002
Collino, Francis; Fouquet, Thierry; Joly, Patrick
1999
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
Optimizing the perfectly matched layer. Zbl 1040.78524
Collino, F.; Monk, P. B.
1998
Optimizing the perfectly matched layer. Zbl 0964.78018
Monk, P.; Collino, F.
1998
Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311
Collino, Francis; Joly, Patrick; Millot, Florence
1997
Perfectly matched absorbing layers for the paraxial equations. Zbl 0866.73013
Collino, Francis
1997
Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation. Zbl 0839.35074
Collino, F.; Joly, P.
1995
Domain decomposition method for harmonic wave equations. Zbl 0870.65109
Ghanemi, S.; Collino, F.; Joly, P.
1995
Fictitious domain method for unsteady problems: Application to electromagnetic scattering. Zbl 0870.65123
Millot, Florence; Collino, Francis; Joly, Patrick
1995
High order absorbing boundary conditions for wave propagation models: Straight line boundary and corner cases. Zbl 0814.35065
Collino, Francis
1993
A numerical method for the exploration of sensitivity: The case of the identification of the 2D stratified elastic medium. Zbl 0709.73098
Assous, F.; Collino, F.
1990
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#### Cited by 585 Authors

 21 Givoli, Dan 16 Collino, Francis 15 Joly, Patrick 11 Hagstrom, Thomas M. 9 Monk, Peter B. 9 Neta, Beny 8 Bécache, Eliane 8 Laghrouche, Omar 7 Antoine, Xavier 7 Boubendir, Yassine 7 Geuzaine, Christophe A. 7 Grote, Marcus J. 7 Huttunen, Tomi 7 Magoulès, Frédéric 6 Pasciak, Joseph E. 6 Rabinovich, Daniel 5 Bielak, Jacobo 5 Cakoni, Fioralba 5 El Kacimi, Abdellah 5 Hu, Fang Qi 5 Kim, Seungil 5 Mirebeau, Jean-Marie 5 Prieto, Andrés 5 Rodríguez, Jerónimo 4 Benamou, Jean-David 4 Bermúdez, Alfredo 4 Chen, Zhiming 4 Claeys, Xavier 4 Engquist, Bjorn E. 4 Harari, Isaac 4 Hervella-Nieto, Luis 4 Maday, Yvon 4 Nannen, Lothar 4 Nochetto, Ricardo Horacio 4 Patlashenko, Igor 4 Rodríguez, Rodolfo 4 Tcheverda, Vladimir A. 4 Trevelyan, Jon 4 Zhang, Wujun 4 Zheng, Weiying 3 Baffet, Daniel H. 3 Bendali, Abderrahmane 3 Bramble, James H. 3 Chabassier, Juliette 3 Chaillat, Stéphanie 3 Darrigrand, Eric 3 Demkowicz, Leszek F. 3 Després, Bruno 3 Farhat, Charbel H. 3 Gabard, Gwénaël 3 Giraldo, Francis X. 3 Greengard, Leslie F. 3 Haddar, Houssem 3 Imperiale, Sébastien 3 Kallivokas, Loukas F. 3 Kaltenbacher, Manfred 3 Koch, Werner 3 Li, Peijun 3 Lindquist, Joseph M. 3 Lisitsa, Vadim 3 Matuszyk, Paweł Jerzy 3 Mehlin, Michaela 3 Mohamed, M. Shadi 3 Nataf, Frédéric 3 Qian, Jianliang 3 Ramière, Isabelle 3 Reshetova, Galina Vitalevna 3 Roux, François-Xavier 3 Schädle, Achim 3 Seaïd, Mohammed 3 Tezaur, Radek 3 Tsogka, Chrysoula 3 Turkel, Eli L. 3 van Joolen, Vince J. 3 Wu, Haijun 3 Zepeda-Núñez, Leonardo 3 Zhao, Hongkai 2 Andreykiv, Andriy 2 Baňas, L’ubomír 2 Bao, Gang 2 Barnett, Alex H. 2 Basu, Ushnish 2 Belliard, Michel 2 Chniti, Chokri 2 Cohen, Gary C. 2 Desmet, Wim 2 Diaz, Julien 2 Dolean, Victorita 2 Domingues, Margarete O. 2 Duru, Kenneth 2 Ezziani, Abdelaâziz 2 Falletta, Silvia 2 Fang, Jun 2 Fares, M’Barek 2 Ferrieres, Xavier 2 Froese Hamfeldt, Brittany 2 Gamallo, Pablo 2 Gander, Martin Jakob 2 Glowinski, Roland 2 Gomes, Sônia Maria ...and 485 more Authors
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#### Cited in 66 Serials

 88 Journal of Computational Physics 39 Computer Methods in Applied Mechanics and Engineering 24 International Journal for Numerical Methods in Engineering 21 Journal of Computational and Applied Mathematics 14 Wave Motion 12 Computers & Mathematics with Applications 11 SIAM Journal on Numerical Analysis 10 Mathematics of Computation 10 Applied Numerical Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 SIAM Journal on Scientific Computing 7 Journal of Scientific Computing 6 Numerische Mathematik 6 Applied Mathematical Modelling 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Computational Acoustics 5 Applicable Analysis 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Computational Mechanics 4 Engineering Analysis with Boundary Elements 3 Journal of Fluid Mechanics 3 COMPEL 3 Computational Geosciences 2 Computers and Fluids 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 BIT 2 Journal of Integral Equations and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Advances in Computational Mathematics 2 International Journal of Computational Fluid Dynamics 2 International Journal of Numerical Modelling 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Engineering Computations 2 Archives of Computational Methods in Engineering 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Computing 1 Mathematics and Computers in Simulation 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 Concurrency: Practice and Experience 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Communications in Numerical Methods in Engineering 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Mathematics and Mechanics of Solids 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Inverse Problems and Imaging 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Mathematical Physics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 34 Fields

 239 Numerical analysis (65-XX) 151 Partial differential equations (35-XX) 113 Optics, electromagnetic theory (78-XX) 101 Fluid mechanics (76-XX) 86 Mechanics of deformable solids (74-XX) 15 Geophysics (86-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)