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Antoine, Xavier

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 Author ID: antoine.xavier Published as: Antoine, X.; Antoine, Xavier External Links: MGP · Wikidata · ORCID
 Documents Indexed: 77 Publications since 1998 Reviewing Activity: 97 Reviews
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Co-Authors

 4 single-authored 19 Besse, Christophe 10 Lorin, Emmanuel 8 Darbas, Marion 7 Barucq, Hélène 7 Geuzaine, Christophe A. 7 Klein, Pauline 7 Thierry, Bertrand 5 Duboscq, Romain 4 Bendali, Abderrahmane 4 Lu, Ya Yan 4 Ramdani, Karim 3 Chniti, Chokri 3 Ehrhardt, Matthias 3 El Bouajaji, Mohamed 3 Tang, Qinglin 3 Vernhet, Laurent 2 Alzubaidi, Hasan 2 Bandrauk, André D. 2 Boubendir, Yassine 2 Fillion-Gourdeau, François 2 Kechroud, Riyad 2 Rispoli, Vittorio 2 Soulaimani, Azzeddine 1 Amalberti, Julien 1 Arnold, Anton 1 Bao, Weizhu 1 Burnard, Pete 1 Colignon, D. 1 Descombes, Stéphane 1 Dreyfuss, Pierre 1 Hou, Fengji 1 Huang, Yuexia 1 Lemou, Mohammed 1 Levitt, Antoine 1 MacLean, Steve 1 Marsic, N. 1 Mouysset, Vincent 1 Petrov, P. S. 1 Pinçon, Bruno 1 Sater, J. 1 Schädle, Achim 1 Szeftel, Jérémie 1 Tournier, Simon 1 Vion, Alexandre 1 Yang, Xu 1 Yuan, Jianhua 1 Zhang, Yong
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Serials

 16 Journal of Computational Physics 7 Computer Physics Communications 3 International Journal for Numerical Methods in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algorithms & Computational Technology 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Computational Acoustics 1 Cubo 1 Mathematical Geosciences
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Fields

 45 Partial differential equations (35-XX) 45 Numerical analysis (65-XX) 23 Optics, electromagnetic theory (78-XX) 12 Fluid mechanics (76-XX) 11 Quantum theory (81-XX) 8 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX)

Citations contained in zbMATH

60 Publications have been cited 861 times in 417 Documents Cited by Year
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178
Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim
2008
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
2013
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
1999
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
2003
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent
2004
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
2012
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
2005
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
2006
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
2007
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
2006
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. Zbl 1349.82027
Antoine, Xavier; Duboscq, Romain
2014
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
2001
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2009
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
2001
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
2014
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2011
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
2008
Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356
Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion
2005
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
2015
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2012
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
2001
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
2016
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066
El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C.
2015
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
2014
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2013
Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051
Kechroud, R.; Antoine, X.; Soulaïmani, A.
2005
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
2015
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
2014
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
2004
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
2009
Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
2015
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
2008
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
2012
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin
2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
2017
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
2016
$$\mu$$-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478
Thierry, Bertrand; Antoine, Xavier; Chniti, Chokri; Alzubaidi, Hasan
2015
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
2008
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
2005
High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080
Antoine, X.; Barucq, H.; Vernhet, L.
2001
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
2017
GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477
Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.
2016
Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054
Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B.
2008
On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466
Antoine, X.; Barucq, H.
2005
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
2003
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
2018
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277
Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio
2016
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100
Thierry, Bertrand; Antoine, Xavier
2013
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
2010
An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
2005
An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body. Zbl 1098.76566
Antoine, X.
2002
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054
Antoine, Xavier; Thierry, Bertrand
2013
Absorbing boundary conditions for solving $$N$$-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2011
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025
Kechroud, R.; Soulaimani, A.; Antoine, X.
2009
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems. I: General approach and low-order models. Zbl 1161.65082
Antoine, Xavier; Geuzaine, Christophe
2009
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
2009
Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081
Antoine, X.; Barucq, H.; Vernhet, L.
2000
A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170
Antoine, X.; Barucq, H.
1999
A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014
Antoine, Xavier
1998
Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152
Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel
2018
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin
2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
2017
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122
Antoine, X.; Lorin, E.
2017
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
2016
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430
Lorin, E.; Yang, X.; Antoine, X.
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
2016
GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477
Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C.
2016
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277
Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio
2016
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
2015
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066
El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C.
2015
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
2015
Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field. Zbl 1332.78026
Antoine, X.; Lorin, E.; Bandrauk, A. D.
2015
$$\mu$$-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478
Thierry, Bertrand; Antoine, Xavier; Chniti, Chokri; Alzubaidi, Hasan
2015
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. Zbl 1349.82027
Antoine, Xavier; Duboscq, Romain
2014
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
2014
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
2014
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
2014
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
2013
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2013
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100
Thierry, Bertrand; Antoine, Xavier
2013
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054
Antoine, Xavier; Thierry, Bertrand
2013
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
2012
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2012
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
2012
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2011
Absorbing boundary conditions for solving $$N$$-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2011
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
2010
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2009
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
2009
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025
Kechroud, R.; Soulaimani, A.; Antoine, X.
2009
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems. I: General approach and low-order models. Zbl 1161.65082
Antoine, Xavier; Geuzaine, Christophe
2009
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
2009
A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178
Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim
2008
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
2008
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
2008
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
2008
Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054
Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B.
2008
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
2007
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
2006
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
2006
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
2005
Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356
Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion
2005
Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051
Kechroud, R.; Antoine, X.; Soulaïmani, A.
2005
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
2005
On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466
Antoine, X.; Barucq, H.
2005
An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
2005
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072
Antoine, Xavier; Besse, Christophe; Mouysset, Vincent
2004
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
2004
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
2003
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
2003
An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body. Zbl 1098.76566
Antoine, X.
2002
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
2001
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
2001
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
2001
High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080
Antoine, X.; Barucq, H.; Vernhet, L.
2001
Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081
Antoine, X.; Barucq, H.; Vernhet, L.
2000
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
1999
A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170
Antoine, X.; Barucq, H.
1999
A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014
Antoine, Xavier
1998
all top 5

Cited by 596 Authors

 43 Antoine, Xavier 15 Barucq, Hélène 14 Besse, Christophe 13 Lorin, Emmanuel 12 Djellouli, Rabia 12 Geuzaine, Christophe A. 12 Zheng, Chunxiong 11 Bao, Weizhu 9 Darbas, Marion 8 Cai, Yongyong 8 Tang, Qinglin 8 Zhang, Jiwei 7 Boubendir, Yassine 7 Dehghan Takht Fooladi, Mehdi 7 Turc, Catalin 7 Zlotnik, Alexander A. 6 Gander, Martin Jakob 6 Thierry, Bertrand 6 Wang, Tingchun 5 Han, Houde 5 Petrov, P. S. 5 Wang, Pengde 5 Wu, Xiaonan 4 Abbaszadeh, Mostafa 4 Ashyralyev, Allaberen 4 Bandrauk, André D. 4 Bruno, Oscar P. 4 Chaillat, Stéphanie 4 Chniti, Chokri 4 Claeys, Xavier 4 Collino, Francis 4 Dolean, Victorita 4 Duboscq, Romain 4 Ehrhardt, Matthias 4 Farhat, Charbel H. 4 Huang, Chengming 4 Joly, Patrick 4 Le Louër, Frédérique 4 Levadoux, David P. 4 Pham, Ha Thanh 4 Tang, Shaoqiang 4 Vaibhav, Vishal 4 Wang, Jilu 4 Zhang, Hui 4 Zhang, Rongpei 3 Abounouh, Mostafa 3 Acosta, Sebastian 3 Al Moatassime, Hassan 3 Arnold, Anton 3 Ben Abdallah, Naoufel 3 Birk, Carolin 3 Cassier, Maxence 3 Chabassier, Juliette 3 Čiegis, Raimondas 3 Diaz, Julien 3 Duruflé, Marc 3 El Bouajaji, Mohamed 3 Guddati, Murthy N. 3 Harari, Isaac 3 He, Dongdong 3 Henning, Patrick 3 Jiang, Chaolong 3 Jin, Jicheng 3 Klein, Pauline 3 Lakoba, Taras I. 3 Li, Xianggui 3 Liang, Xiao 3 Liu, Wen-Jie 3 Noble, Pascal 3 Pan, Kejia 3 Pang, Gang 3 Pinaud, Olivier 3 Ruan, Xinran 3 Saint-Guirons, A.-G. 3 Sirma, Ali 3 Song, Chongmin 3 Spence, Euan A. 3 Sun, Zhizhong 3 Szeftel, Jérémie 3 Tezaur, Radek 3 Turkel, Eli L. 3 Vion, Alexandre 3 Wang, Hanquan 3 Wang, Yushun 3 Wu, Boying 3 Xing, Feng 3 Yang, Xu 3 Yin, Jia 3 Yu, Xijun 3 Zhang, Yong 2 Alazard, Thomas 2 Alonso-Mallo, Isaías 2 Alzubaidi, Hasan 2 Bader, Philipp 2 Bhatt, Harish P. 2 Bian, Lei 2 Bonnet, Marc 2 Chelkowski, Szczepan 2 Chrifi, Abderrazak 2 Coulombel, Jean-François ...and 496 more Authors
all top 5

Cited in 91 Serials

 72 Journal of Computational Physics 24 Computers & Mathematics with Applications 23 Journal of Computational and Applied Mathematics 23 Applied Numerical Mathematics 16 Journal of Scientific Computing 15 Computer Methods in Applied Mechanics and Engineering 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Wave Motion 12 Applied Mathematics and Computation 10 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 8 Journal of Mathematical Analysis and Applications 8 International Journal for Numerical Methods in Engineering 8 Engineering Analysis with Boundary Elements 7 Computer Physics Communications 7 Numerical Methods for Partial Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Algorithms 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 4 International Journal of Computer Mathematics 4 SIAM Journal on Applied Mathematics 4 Advances in Computational Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Applied Mathematical Modelling 3 Mathematical Problems in Engineering 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Kinetic and Related Models 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Inverse Problems 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Physica D 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Journal of Computational Acoustics 2 Acta Mechanica Sinica 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 Communications on Applied Mathematics and Computation 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 BIT 1 Calcolo 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Advances in Engineering Software 1 Computational and Applied Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 The ANZIAM Journal 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Computational Methods 1 Acta Numerica 1 Science in China. Series G 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Journal of Computational Dynamics 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 EMS Surveys in Mathematical Sciences 1 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications
all top 5

Cited in 36 Fields

 322 Numerical analysis (65-XX) 274 Partial differential equations (35-XX) 66 Optics, electromagnetic theory (78-XX) 61 Fluid mechanics (76-XX) 47 Quantum theory (81-XX) 37 Statistical mechanics, structure of matter (82-XX) 33 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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