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Author ID: antoine.xavier Recent zbMATH articles by "Antoine, Xavier"
Published as: Antoine, Xavier; Antoine, X.
External Links: MGP · ORCID
Documents Indexed: 109 Publications since 1998, including 1 Additional arXiv Preprint
Reviewing Activity: 97 Reviews
Co-Authors: 70 Co-Authors with 104 Joint Publications
1,363 Co-Co-Authors
all top 5

Serials

25 Journal of Computational Physics
9 Computer Physics Communications
6 Communications in Computational Physics
5 Computer Methods in Applied Mechanics and Engineering
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Applied Mathematics
3 SIAM Journal on Scientific Computing
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 Communications in Nonlinear Science and Numerical Simulation
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Algorithms & Computational Technology
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
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 Numerical Mathematics
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 Journal of Computational Acoustics
1 Cubo
1 Mathematical Geosciences

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 1,534 times in 726 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
136
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
135
2008
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
78
1999
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
69
2012
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
60
2003
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
51
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
49
2004
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
42
2007
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
39
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
37
2017
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
36
2006
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
34
2006
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
33
2011
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
31
2009
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
31
2014
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
27
2016
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
27
2001
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.
23
2015
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
22
2001
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
21
2015
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
19
2008
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
19
2020
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
19
2014
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems. Zbl 1506.74420
Modave, A.; Royer, A.; Antoine, X.; Geuzaine, C.
19
2020
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
18
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
17
2012
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
17
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.
16
2005
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
16
2017
Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 07505911
Antoine, Xavier; Shen, Jie; Tang, Qinglin
16
2021
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
16
2014
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.
15
2015
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
15
2001
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
15
2004
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Zbl 1499.35522
Antoine, Xavier; Tang, Qinglin; Zhang, Jiwei
15
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
14
2016
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
13
2013
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.
11
2016
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
11
2019
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
11
2008
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
10
2009
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. Zbl 1516.65070
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier
10
2019
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.
9
2017
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
9
2018
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
8
2020
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
7
2011
High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080
Antoine, X.; Barucq, H.; Vernhet, L.
7
2001
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
7
2005
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
7
2017
Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems. Zbl 1410.78010
Alzubaidi, Hasan; Antoine, Xavier; Chniti, Chokri
7
2016
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
7
2012
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
7
2021
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
6
2008
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
6
2018
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. Zbl 07515465
Ji, Songsong; Pang, Gang; Antoine, Xavier; Zhang, Jiwei
6
2021
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Zbl 1473.35141
Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang
6
2021
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.
6
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
5
2015
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
5
2016
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
5
2010
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.
5
2008
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
5
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.
5
2005
A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers. Zbl 1452.65267
Antoine, Xavier; Lorin, Emmanuel
5
2019
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 1515.65298
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
5
2021
Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Zbl 1501.65112
Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S.
5
2021
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
4
2009
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
4
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.
4
2002
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
4
2013
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
4
2020
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.
4
2018
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. Zbl 1419.65049
Antoine, X.; Lorin, E.
4
2019
Construction and numerical assessment of local absorbing boundary conditions for heterogeneous time-harmonic acoustic problems. Zbl 1486.35488
Marchner, Philippe; Antoine, Xavier; Geuzaine, Christophe; Bériot, Hadrien
4
2022
Optimized weak coupling of boundary element and finite element methods for acoustic scattering. Zbl 07508362
Caudron, B.; Antoine, X.; Geuzaine, C.
4
2020
A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics. Zbl 1506.76090
Lieu, Alice; Marchner, Philippe; Gabard, Gwénaël; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
4
2020
Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations. Zbl 1366.65110
Antoine, X.; Geuzaine, C.
4
2017
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains. Zbl 07693036
Ji, Songsong; Yang, Yibo; Pang, Gang; Antoine, Xavier
4
2018
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
3
2013
Accurate absorbing boundary conditions for two-dimensional peridynamics. Zbl 07561055
Pang, Gang; Ji, Songsong; Antoine, Xavier
3
2022
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.
2
2009
Absorbing boundary conditions for solving stationary Schrödinger equations. Zbl 1253.65187
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2
2012
ODE-based double-preconditioning for solving linear systems \(A^{\alpha}x=b\) and \(f(A)x=b\). Zbl 07478625
Antoine, Xavier; Lorin, Emmanuel
2
2021
A frequency domain method for scattering problems with moving boundaries. Zbl 1524.65802
Gasperini, D.; Beise, H. P.; Schroeder, U.; Antoine, X.; Geuzaine, C.
2
2021
Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081
Antoine, X.; Barucq, H.; Vernhet, L.
1
2000
Generalized Brakhage-Werner integral formulations for the iterative solution of acoustics scattering problems. Zbl 1046.78005
Antoine, Xavier; Darbas, Marion
1
2003
Open boundary conditions and computational schemes for Schrödinger equations with general potentials and nonlinearities. Zbl 1218.35221
Antoine, Xavier; Klein, Pauline; Besse, Christophe
1
2010
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
1
1998
Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses. Zbl 1507.74180
Antoine, Xavier; Khajah, Tahsin
1
2022
A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. Zbl 1507.65173
Antoine, Xavier; Lorin, Emmanuel
1
2022
Explicit computation of Robin parameters in optimized Schwarz waveform relaxation methods for Schrödinger equations based on pseudodifferential operators. Zbl 1473.65180
Antoine, Xavier; Lorin, Emmanuel
1
2020
Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution. Zbl 1436.65221
Petrov, P. S.; Antoine, X.
1
2020
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
1
2009
Construction and numerical assessment of local absorbing boundary conditions for heterogeneous time-harmonic acoustic problems. Zbl 1486.35488
Marchner, Philippe; Antoine, Xavier; Geuzaine, Christophe; Bériot, Hadrien
4
2022
Accurate absorbing boundary conditions for two-dimensional peridynamics. Zbl 07561055
Pang, Gang; Ji, Songsong; Antoine, Xavier
3
2022
Standard and phase reduced isogeometric on-surface radiation conditions for acoustic scattering analyses. Zbl 1507.74180
Antoine, Xavier; Khajah, Tahsin
1
2022
A Schwarz waveform relaxation method for time-dependent space fractional Schrödinger/heat equations. Zbl 1507.65173
Antoine, Xavier; Lorin, Emmanuel
1
2022
Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 07505911
Antoine, Xavier; Shen, Jie; Tang, Qinglin
16
2021
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Zbl 1468.65159
Antoine, Xavier; Lorin, Emmanuel; Zhang, Y.
7
2021
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. Zbl 07515465
Ji, Songsong; Pang, Gang; Antoine, Xavier; Zhang, Jiwei
6
2021
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Zbl 1473.35141
Pang, Gang; Yang, Yibo; Antoine, Xavier; Tang, Shaoqiang
6
2021
Stable perfectly matched layers with Lorentz transformation for the convected Helmholtz equation. Zbl 1515.65298
Marchner, Philippe; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
5
2021
Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Zbl 1501.65112
Dsouza, S. M.; Khajah, T.; Antoine, X.; Bordas, S. P. A.; Natarajan, S.
5
2021
ODE-based double-preconditioning for solving linear systems \(A^{\alpha}x=b\) and \(f(A)x=b\). Zbl 07478625
Antoine, Xavier; Lorin, Emmanuel
2
2021
A frequency domain method for scattering problems with moving boundaries. Zbl 1524.65802
Gasperini, D.; Beise, H. P.; Schroeder, U.; Antoine, X.; Geuzaine, C.
2
2021
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. Zbl 1453.65340
Modave, A.; Geuzaine, C.; Antoine, X.
19
2020
A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems. Zbl 1506.74420
Modave, A.; Royer, A.; Antoine, X.; Geuzaine, C.
19
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
8
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
4
2020
Optimized weak coupling of boundary element and finite element methods for acoustic scattering. Zbl 07508362
Caudron, B.; Antoine, X.; Geuzaine, C.
4
2020
A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics. Zbl 1506.76090
Lieu, Alice; Marchner, Philippe; Gabard, Gwénaël; Bériot, Hadrien; Antoine, Xavier; Geuzaine, Christophe
4
2020
Explicit computation of Robin parameters in optimized Schwarz waveform relaxation methods for Schrödinger equations based on pseudodifferential operators. Zbl 1473.65180
Antoine, Xavier; Lorin, Emmanuel
1
2020
Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution. Zbl 1436.65221
Petrov, P. S.; Antoine, X.
1
2020
Towards perfectly matched layers for time-dependent space fractional PDEs. Zbl 1452.65266
Antoine, Xavier; Lorin, Emmanuel
11
2019
Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. Zbl 1516.65070
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier
10
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
5
2019
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. Zbl 1419.65049
Antoine, X.; Lorin, E.
4
2019
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Zbl 1499.35522
Antoine, Xavier; Tang, Qinglin; Zhang, Jiwei
15
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
9
2018
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
6
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.
4
2018
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains. Zbl 07693036
Ji, Songsong; Yang, Yibo; Pang, Gang; Antoine, Xavier
4
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
37
2017
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234
Antoine, X.; Lorin, E.
16
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.
9
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
7
2017
Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations. Zbl 1366.65110
Antoine, X.; Geuzaine, C.
4
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
27
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
14
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.
11
2016
Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems. Zbl 1410.78010
Alzubaidi, Hasan; Antoine, Xavier; Chniti, Chokri
7
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.
6
2016
Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152
Antoine, X.; Lorin, E.
5
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.
23
2015
Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114
Antoine, Xavier; Duboscq, Romain
21
2015
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004
Antoine, Xavier; Duboscq, Romain
18
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.
15
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
5
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
39
2014
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003
Antoine, Xavier; Duboscq, Romain
31
2014
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010
El Bouajaji, M.; Antoine, X.; Geuzaine, C.
19
2014
Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080
Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D.
16
2014
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130
Antoine, Xavier; Bao, Weizhu; Besse, Christophe
136
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
13
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
4
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
3
2013
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144
Boubendir, Y.; Antoine, X.; Geuzaine, C.
69
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
17
2012
Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002
Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand
7
2012
Absorbing boundary conditions for solving stationary Schrödinger equations. Zbl 1253.65187
Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias
2
2012
Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223
Antoine, Xavier; Besse, Christophe; Klein, Pauline
33
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
7
2011
Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015
Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan
5
2010
Open boundary conditions and computational schemes for Schrödinger equations with general potentials and nonlinearities. Zbl 1218.35221
Antoine, Xavier; Klein, Pauline; Besse, Christophe
1
2010
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074
Antoine, Xavier; Besse, Christophe; Klein, Pauline
31
2009
Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie
10
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
4
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.
2
2009
A construction of beam propagation methods for optical waveguides. Zbl 1364.78022
Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim
1
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
135
2008
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403
Antoine, Xavier; Chniti, Chokri; Ramdani, Karim
19
2008
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001
Antoine, X.; Boubendir, Y.
11
2008
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012
Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier
6
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.
5
2008
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
42
2007
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
36
2006
An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058
Antoine, Xavier; Darbas, Marion; Lu, Ya Yan
34
2006
Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095
Antoine, X.; Darbas, M.
51
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
17
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.
16
2005
Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004
Antoine, Xavier; Barucq, Hélène
7
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
5
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.
5
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
49
2004
Analytic preconditioners for the electric field integral equation. Zbl 1210.65193
Antoine, X.; Bendali, A.; Darbas, M.
15
2004
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097
Antoine, X.; Besse, C.
60
2003
Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059
Antoine, Xavier; Lemou, M.
4
2003
Generalized Brakhage-Werner integral formulations for the iterative solution of acoustics scattering problems. Zbl 1046.78005
Antoine, Xavier; Darbas, Marion
1
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.
4
2002
Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008
Antoine, Xavier
27
2001
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324
Antoine, Xavier; Besse, Christophe
22
2001
Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138
Antoine, Xavier
15
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.
7
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.
1
2000
Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179
Antoine, X.; Barucq, H.; Bendali, A.
78
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
1
1998
all top 5

Cited by 1,020 Authors

70 Antoine, Xavier
26 Lorin, Emmanuel
25 Geuzaine, Christophe A.
19 Bao, Weizhu
18 Barucq, Hélène
18 Besse, Christophe
17 Zhang, Jiwei
15 Tang, Qinglin
13 Cai, Yongyong
13 Djellouli, Rabia
13 Zheng, Chunxiong
12 Pang, Gang
11 Darbas, Marion
11 Ehrhardt, Matthias
10 Wang, Tingchun
9 Claeys, Xavier
9 Gander, Martin Jakob
9 Henning, Patrick
9 Zhang, Yong
8 Thierry, Bertrand
8 Turc, Catalin
8 Zlotnik, Alexander A.
7 Boubendir, Yassine
7 Dehghan Takht Fooladi, Mehdi
7 Ji, Songsong
7 Modave, Axel
7 Spence, Euan A.
7 Tang, Shaoqiang
7 Yin, Jia
7 Zhang, Hui
6 Acosta, Sebastian
6 Le Louër, Frédérique
6 Petrov, Pavel S.
6 Wang, Pengde
5 Ashyralyev, Allaberen
5 Cai, Jiaxiang
5 Chaillat, Stéphanie
5 Čiegis, Raimondas
5 Collino, Francis
5 Diaz, Julien
5 Duboscq, Romain
5 Han, Houde
5 Liu, Wei
5 Ma, Ying
5 Trofimov, Vyacheslav A.
5 Turkel, Eli L.
5 Wang, Hanquan
5 Wang, Jilu
5 Wu, Xiaonan
5 Yang, Xu
4 Abbaszadeh, Mostafa
4 Abounouh, Mostafa
4 Al Moatassime, Hassan
4 Bandrauk, André D.
4 Betcke, Timo
4 Bruno, Oscar P.
4 Chniti, Chokri
4 Dolean, Victorita
4 El Bouajaji, Mohamed
4 Farhat, Charbel H.
4 Feng, Yue
4 Guo, Boling
4 Huang, Chengming
4 Jerez-Hanckes, Carlos
4 Jiang, Chaolong
4 Joly, Patrick
4 Khajah, Tahsin
4 Klein, Pauline
4 Levadoux, David P.
4 Li, Buyang
4 Li, Hongwei
4 Li, Xianggui
4 Liang, Dong
4 Luo, Songting
4 Malomed, Boris A.
4 Mei, Liquan
4 Noble, Pascal
4 Pham, Ha Thanh
4 Sirma, Ali
4 Sun, Zhizhong
4 Tordeux, Sébastien
4 Vaibhav, Vishal
4 Vion, Alexandre
4 Wang, Yushun
4 Yu, Yue
4 Zhang, Luming
4 Zhang, Rongpei
3 Anitescu, Cosmin
3 Arnold, Anton
3 Atroshchenko, Elena
3 Ben Abdallah, Naoufel
3 Bériot, Hadrien
3 Birk, Carolin
3 Bordas, Stéphane Pierre Alain
3 Cassier, Maxence
3 Chabassier, Juliette
3 Chrifi, Abderrazak
3 Coulombel, Jean-François
3 Cui, Jin
3 Dai, Weizhong
...and 920 more Authors
all top 5

Cited in 124 Serials

126 Journal of Computational Physics
35 Applied Numerical Mathematics
34 Journal of Scientific Computing
33 Computers & Mathematics with Applications
29 Journal of Computational and Applied Mathematics
26 Computer Methods in Applied Mechanics and Engineering
22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 SIAM Journal on Scientific Computing
19 SIAM Journal on Numerical Analysis
19 International Journal of Computer Mathematics
16 Wave Motion
16 Numerische Mathematik
15 Applied Mathematics and Computation
14 Communications in Computational Physics
13 Numerical Algorithms
12 Engineering Analysis with Boundary Elements
11 Computer Physics Communications
11 Numerical Methods for Partial Differential Equations
11 Applied Mathematics Letters
9 Mathematics of Computation
8 Journal of Mathematical Analysis and Applications
8 International Journal for Numerical Methods in Engineering
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Advances in Computational Mathematics
7 Communications in Nonlinear Science and Numerical Simulation
6 Mathematics and Computers in Simulation
6 SIAM Journal on Applied Mathematics
6 East Asian Journal on Applied Mathematics
5 Physics Letters. A
5 Advances in Applied Mathematics and Mechanics
4 Inverse Problems
4 Journal of Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Applied Mathematical Modelling
4 Computational Methods in Applied Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Kinetic and Related Models
3 Applicable Analysis
3 Chaos, Solitons and Fractals
3 Physica D
3 Mathematical Problems in Engineering
3 Mathematical Modelling and Analysis
3 Multiscale Modeling & Simulation
3 Advances in Difference Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 BIT
2 Calcolo
2 Journal of Computational Mathematics
2 Computational Mechanics
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
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 Discrete and Continuous Dynamical Systems. Series B
2 Acta Numerica
2 Journal of Computational Acoustics
2 Boundary Value Problems
2 Acta Mechanica Sinica
2 SIAM Journal on Imaging Sciences
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 SMAI Journal of Computational Mathematics
2 Communications on Applied Mathematics and Computation
2 Electronic Research Archive
2 SN Partial Differential Equations and Applications
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Nonlinearity
1 Physica A
1 Annales de l’Institut Fourier
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Mathematica Numerica Sinica
1 Mathematical and Computer Modelling
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Integral Equations and Applications
1 Computational Mathematics and Mathematical Physics
1 Annals of Physics
1 Journal of Elasticity
1 Advances in Engineering Software
1 Russian Journal of Mathematical Physics
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 Nonlinear Dynamics
1 Mathematical and Computer Modelling of Dynamical Systems
1 Discrete Dynamics in Nature and Society
...and 24 more Serials
all top 5

Cited in 39 Fields

590 Numerical analysis (65-XX)
511 Partial differential equations (35-XX)
95 Fluid mechanics (76-XX)
95 Optics, electromagnetic theory (78-XX)
86 Quantum theory (81-XX)
59 Statistical mechanics, structure of matter (82-XX)
54 Mechanics of deformable solids (74-XX)
18 Real functions (26-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
16 Integral equations (45-XX)
13 Operator theory (47-XX)
12 Approximations and expansions (41-XX)
11 Dynamical systems and ergodic theory (37-XX)
10 Functional analysis (46-XX)
8 Operations research, mathematical programming (90-XX)
7 Computer science (68-XX)
6 Potential theory (31-XX)
6 Ordinary differential equations (34-XX)
6 Integral transforms, operational calculus (44-XX)
5 Special functions (33-XX)
5 Probability theory and stochastic processes (60-XX)
5 Geophysics (86-XX)
5 Biology and other natural sciences (92-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
3 Information and communication theory, circuits (94-XX)
2 Differential geometry (53-XX)
2 Mechanics of particles and systems (70-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Manifolds and cell complexes (57-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year