## Antoine, Xavier

Compute Distance To:
 Author ID: antoine.xavier Published as: Antoine, Xavier; Antoine, X. External Links: MGP · ORCID
 Documents Indexed: 100 Publications since 1998 Reviewing Activity: 97 Reviews Co-Authors: 67 Co-Authors with 95 Joint Publications 1,187 Co-Co-Authors
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### Co-Authors

 4 single-authored 19 Besse, Christophe 16 Lorin, Emmanuel 15 Geuzaine, Christophe A. 8 Darbas, Marion 7 Barucq, Hélène 7 Klein, Pauline 7 Thierry, Bertrand 6 Tang, Qinglin 5 Duboscq, Romain 4 Bendali, Abderrahmane 4 Lu, Ya Yan 4 Ramdani, Karim 3 Bériot, Hadrien 3 Chniti, Chokri 3 Ehrhardt, Matthias 3 El Bouajaji, Mohamed 3 Marchner, Philippe 3 Vernhet, Laurent 3 Zhang, Jiwei 3 Zhang, Yong 2 Alzubaidi, Hasan 2 Bandrauk, André D. 2 Boubendir, Yassine 2 Fillion-Gourdeau, François 2 Gasperini, David 2 Kechroud, Riyad 2 Khajah, Tahsin 2 Modave, Axel 2 Pang, Gang 2 Rispoli, Vittorio 2 Schröder, Udo 2 Soulaimani, Azzeddine 1 Amalberti, Julien 1 Arnold, Anton 1 Bao, Weizhu 1 Beise, Hans-Peter 1 Biese, Hans-Peter 1 Bordas, Stéphane Pierre Alain 1 Burnard, Pete 1 Caudron, B. 1 Colignon, D. 1 Descombes, Stéphane 1 Dreyfuss, Pierre 1 Dsouza, Shaima M. 1 Gabard, Gwénaël 1 Hou, Fengji 1 Huang, Yuexia 1 Ji, Songsong 1 Lemou, Mohammed 1 Levitt, Antoine 1 Li, Dongfang 1 Lieu, Alice 1 MacLean, Steve 1 Marsic, N. 1 Mouysset, Vincent 1 Natarajan, Sundararajan 1 Petrov, Pavel S. 1 Pinçon, Bruno 1 Sater, J. 1 Schädle, Achim 1 Szeftel, Jérémie 1 Tang, Shaoqiang 1 Tournier, Simon 1 Vion, Alexandre 1 Yang, Xu 1 Yang, Yibo 1 Yuan, Jianhua
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### Serials

 24 Journal of Computational Physics 7 Computer Physics Communications 6 Communications in Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 3 SIAM Journal on Applied Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Journal of Scientific Computing 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 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 Wave Motion 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Engineering Software 1 Numerical Linear Algebra with Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Computational Acoustics 1 Cubo 1 Mathematical Geosciences
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### Fields

 65 Numerical analysis (65-XX) 62 Partial differential equations (35-XX) 25 Optics, electromagnetic theory (78-XX) 17 Fluid mechanics (76-XX) 13 Quantum theory (81-XX) 9 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 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 1,165 times in 561 Documents Cited by Year
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
2013
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
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
1999
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
2012
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
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
2005
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
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
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
2006
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2011
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
2001
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
2014
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
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
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
2008
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
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
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
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
2014
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
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
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
2004
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
2014
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
2017
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
2020
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
2008
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
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 1457.65093
Antoine, Xavier; Besse, Christophe; Klein, Pauline
2013
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
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
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
2009
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems. Zbl 07337986
Modave, A.; Royer, A.; Antoine, X.; Geuzaine, C.
2020
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
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
2012
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
2005
Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems. Zbl 1410.78010
Alzubaidi, Hasan; Antoine, Xavier; Chniti, Chokri
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
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 construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466
Antoine, X.; Barucq, H.
2005
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
2010
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
2008
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
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates. Zbl 1453.65353
Antoine, Xavier; Geuzaine, Christophe; Tang, Qinglin
2020
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
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
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
2003
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
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
2019
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
Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations. Zbl 1366.65110
Antoine, X.; Geuzaine, C.
2017
Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Zbl 1411.81026
Antoine, Xavier; Besse, Christophe; Duboscq, Romain; Rispoli, Vittorio
2017
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
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
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 preconditioned conjugated gradient method for computing ground states of rotating dipolar Bose-Einstein condensates via kernel truncation method for dipole-dipole interaction evaluation. Zbl 1475.65142
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
2018
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. Zbl 07416715
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier
2019
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. Zbl 1419.65049
Antoine, X.; Lorin, E.
2019
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
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
2021
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Zbl 07470677
Antoine, Xavier; Tang, Qinglin; Zhang, Jiwei
2018
Generalized Brakhage-Werner integral formulations for the iterative solution of acoustics scattering problems. Zbl 1046.78005
Antoine, Xavier; Darbas, Marion
2003
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. Zbl 1436.65127
Antoine, Xavier; Fillion-Gourdeau, François; Lorin, Emmanuel; MacLean, Steve
2020
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
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
Open boundary conditions and computational schemes for Schrödinger equations with general potentials and nonlinearities. Zbl 1218.35221
Antoine, Xavier; Klein, Pauline; Besse, Christophe
2010
A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers. Zbl 1452.65267
Antoine, Xavier; Lorin, Emmanuel
2019
Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. Zbl 1427.65233
Antoine, X.; Lorin, E.
2018
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
2009
A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics. Zbl 07413173
Lieu, Alice; Marchner, Philippe; Gabard, Gwénaël; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
2020
A frequency domain method for scattering problems with moving boundaries. Zbl 07425570
Gasperini, D.; Beise, H. P.; Schroeder, U.; Antoine, X.; Geuzaine, C.
2021
ODE-based double-preconditioning for solving linear systems $$A^{\alpha}x=b$$ and $$f(A)x=b$$. Zbl 07478625
Antoine, Xavier; Lorin, Emmanuel
2021
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 07501589
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
2021
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
2021
A frequency domain method for scattering problems with moving boundaries. Zbl 07425570
Gasperini, D.; Beise, H. P.; Schroeder, U.; Antoine, X.; Geuzaine, C.
2021
ODE-based double-preconditioning for solving linear systems $$A^{\alpha}x=b$$ and $$f(A)x=b$$. Zbl 07478625
Antoine, Xavier; Lorin, Emmanuel
2021
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 07501589
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
2021
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
2020
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems. Zbl 07337986
Modave, A.; Royer, A.; Antoine, X.; Geuzaine, C.
2020
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates. Zbl 1453.65353
Antoine, Xavier; Geuzaine, Christophe; Tang, Qinglin
2020
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. Zbl 1436.65127
Antoine, Xavier; Fillion-Gourdeau, François; Lorin, Emmanuel; MacLean, Steve
2020
A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics. Zbl 07413173
Lieu, Alice; Marchner, Philippe; Gabard, Gwénaël; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
2020
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
2019
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. Zbl 07416715
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier
2019
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. Zbl 1419.65049
Antoine, X.; Lorin, E.
2019
A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers. Zbl 1452.65267
Antoine, Xavier; Lorin, Emmanuel
2019
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
A preconditioned conjugated gradient method for computing ground states of rotating dipolar Bose-Einstein condensates via kernel truncation method for dipole-dipole interaction evaluation. Zbl 1475.65142
Antoine, Xavier; Tang, Qinglin; Zhang, Yong
2018
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Zbl 07470677
Antoine, Xavier; Tang, Qinglin; Zhang, Jiwei
2018
Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. Zbl 1427.65233
Antoine, X.; Lorin, E.
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
Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations. Zbl 1366.65110
Antoine, X.; Geuzaine, C.
2017
Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Zbl 1411.81026
Antoine, Xavier; Besse, Christophe; Duboscq, Romain; Rispoli, Vittorio
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
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
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
Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems. Zbl 1410.78010
Alzubaidi, Hasan; Antoine, Xavier; Chniti, Chokri
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
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
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
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
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 1457.65093
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
Open boundary conditions and computational schemes for Schrödinger equations with general potentials and nonlinearities. Zbl 1218.35221
Antoine, Xavier; Klein, Pauline; Besse, Christophe
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
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 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
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
Generalized Brakhage-Werner integral formulations for the iterative solution of acoustics scattering problems. Zbl 1046.78005
Antoine, Xavier; Darbas, Marion
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 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
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### Cited by 778 Authors

 62 Antoine, Xavier 21 Geuzaine, Christophe A. 21 Lorin, Emmanuel 17 Besse, Christophe 16 Barucq, Hélène 15 Bao, Weizhu 13 Zheng, Chunxiong 12 Cai, Yongyong 12 Djellouli, Rabia 12 Tang, Qinglin 12 Zhang, Jiwei 11 Darbas, Marion 8 Turc, Catalin 8 Wang, Tingchun 7 Boubendir, Yassine 7 Dehghan Takht Fooladi, Mehdi 7 Henning, Patrick 7 Tang, Shaoqiang 7 Thierry, Bertrand 7 Yin, Jia 7 Zlotnik, Alexander A. 6 Gander, Martin Jakob 6 Modave, Axel 6 Pang, Gang 6 Petrov, Pavel S. 6 Zhang, Yong 5 Acosta, Sebastian 5 Chaillat, Stéphanie 5 Čiegis, Raimondas 5 Claeys, Xavier 5 Duboscq, Romain 5 Han, Houde 5 Le Louër, Frédérique 5 Turkel, Eli L. 5 Wang, Pengde 5 Wu, Xiaonan 4 Abbaszadeh, Mostafa 4 Ashyralyev, Allaberen 4 Bandrauk, André D. 4 Bruno, Oscar P. 4 Chniti, Chokri 4 Collino, Francis 4 Diaz, Julien 4 Dolean, Victorita 4 Ehrhardt, Matthias 4 Farhat, Charbel H. 4 Huang, Chengming 4 Jiang, Chaolong 4 Joly, Patrick 4 Khajah, Tahsin 4 Levadoux, David P. 4 Li, Xianggui 4 Liang, Dong 4 Noble, Pascal 4 Pham, Ha Thanh 4 Sun, Zhizhong 4 Vaibhav, Vishal 4 Wang, Jilu 4 Zhang, Hui 4 Zhang, Rongpei 3 Abounouh, Mostafa 3 Al Moatassime, Hassan 3 Betcke, Timo 3 Birk, Carolin 3 Cassier, Maxence 3 Chabassier, Juliette 3 Coulombel, Jean-François 3 Cui, Jin 3 Duruflé, Marc 3 El Bouajaji, Mohamed 3 Guddati, Murthy N. 3 Guo, Boling 3 Harari, Isaac 3 He, Dongdong 3 Huang, Zhongyi 3 Jerez-Hanckes, Carlos 3 Jin, Jicheng 3 Ju, Lili 3 Klein, Pauline 3 Lakoba, Taras I. 3 Leng, Wei 3 Li, Buyang 3 Liang, Xiao 3 Liu, Wen-Jie 3 Luo, Songting 3 Ma, Ying 3 Mattesi, Vanessa 3 Medvinsky, Michael 3 Mei, Liquan 3 Pan, Kejia 3 Pérez-Arancibia, Carlos 3 Peterseim, Daniel 3 Pinaud, Olivier 3 Radziunas, Mindaugas 3 Ruan, Xinran 3 Saint-Guirons, A.-G. 3 Sirma, Ali 3 Song, Chongmin 3 Szeftel, Jérémie 3 Tezaur, Radek ...and 678 more Authors
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### Cited in 105 Serials

 99 Journal of Computational Physics 28 Applied Numerical Mathematics 28 Journal of Scientific Computing 27 Computers & Mathematics with Applications 24 Journal of Computational and Applied Mathematics 21 Computer Methods in Applied Mechanics and Engineering 18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 15 SIAM Journal on Numerical Analysis 14 Wave Motion 14 Applied Mathematics and Computation 14 Numerische Mathematik 14 International Journal of Computer Mathematics 13 SIAM Journal on Scientific Computing 11 Numerical Algorithms 10 Communications in Computational Physics 9 Engineering Analysis with Boundary Elements 8 Journal of Mathematical Analysis and Applications 8 International Journal for Numerical Methods in Engineering 7 Computer Physics Communications 7 Mathematics of Computation 7 Numerical Methods for Partial Differential Equations 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Applied Mathematics 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 4 Advances in Computational Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Kinetic and Related Models 4 East Asian Journal on Applied Mathematics 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Physica D 3 Applied Mathematical Modelling 3 Mathematical Problems in Engineering 3 Mathematical Modelling and Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Difference Equations 3 Advances in Applied Mathematics and Mechanics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Applicable Analysis 2 Inverse Problems 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Computational Mechanics 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 Journal of Inequalities and Applications 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 Journal of Computational Acoustics 2 Boundary Value Problems 2 Acta Mechanica Sinica 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 SMAI Journal of Computational Mathematics 2 Communications on Applied Mathematics and Computation 2 SN Partial Differential Equations and Applications 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 Physica A 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 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 Journal of Computational Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Journal of Elasticity 1 Advances in Engineering Software 1 Computational and Applied Mathematics 1 Filomat 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical and Computer Modelling of Dynamical Systems 1 Discrete Dynamics in Nature and Society 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 Acta Numerica 1 Science in China. Series G 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Journal of Computational Dynamics 1 EMS Surveys in Mathematical Sciences ...and 5 more Serials
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### Cited in 38 Fields

 446 Numerical analysis (65-XX) 377 Partial differential equations (35-XX) 80 Optics, electromagnetic theory (78-XX) 79 Fluid mechanics (76-XX) 63 Quantum theory (81-XX) 45 Mechanics of deformable solids (74-XX) 42 Statistical mechanics, structure of matter (82-XX) 14 Integral equations (45-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Operator theory (47-XX) 8 Real functions (26-XX) 7 Approximations and expansions (41-XX) 7 Operations research, mathematical programming (90-XX) 6 Integral transforms, operational calculus (44-XX) 6 Functional analysis (46-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 4 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)