Xavier Antoine

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 40

Top Topics

Finite Element Methods

Decomposition Method

Boundary Conditions

Top Venues

J. Comput. Phys.

Comput. Phys. Commun.

Appl. Math. Comput.

Publications

Gang Pang, Songsong Ji, Xavier Antoine
Construction and analysis of discretization schemes for one-dimensional nonlocal Schrödinger equations with exact absorbing boundary conditions. J. Comput. Appl. Math. 440 (2024)
Xavier Antoine, Chorouq Bentayaa, Jérémie Gaidamour
Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations. Int. J. Comput. Math. 101 (1) (2024)
Xavier Antoine, Jérémie Gaidamour, Emmanuel Lorin
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. Commun. Nonlinear Sci. Numer. Simul. 129 (2024)
Ismaïl Badia, Boris Caudron, Xavier Antoine, Christophe Geuzaine
A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects. SIAM J. Sci. Comput. 44 (3) (2022)
David Gasperini, Hans-Peter Biese, Udo Schröder, Xavier Antoine, Christophe Geuzaine
A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations. SIAM J. Sci. Comput. 44 (2) (2022)
Xavier Antoine, Emmanuel Lorin
Generalized Fractional Algebraic Linear System Solvers. J. Sci. Comput. 91 (1) (2022)
Philippe Marchner, Xavier Antoine, Christophe Geuzaine, Hadrien Bériot
Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems. SIAM J. Appl. Math. 82 (2) (2022)
Xavier Antoine, Xiaofei Zhao
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. J. Comput. Phys. 448 (2022)
Gang Pang, Songsong Ji, Xavier Antoine
Accurate absorbing boundary conditions for two-dimensional peridynamics. J. Comput. Phys. 466 (2022)
Songsong Ji, Gang Pang, Xavier Antoine, Jiwei Zhang
Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. J. Comput. Phys. 444 (2021)
Xavier Antoine, Emmanuel Lorin, Y. Zhang
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Numer. Algorithms 87 (1) (2021)
Jérémie Gaidamour, Qinglin Tang, Xavier Antoine
BEC2HPC: A HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation. Comput. Phys. Commun. 265 (2021)
Gang Pang, Yibo Yang, Xavier Antoine, Shaoqiang Tang
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Math. Comput. 90 (332) (2021)
Philippe Marchner, Hadrien Bériot, Xavier Antoine, Christophe Geuzaine
Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation. J. Comput. Phys. 433 (2021)
Xavier Antoine, Emmanuel Lorin
ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b. Numer. Linear Algebra Appl. 28 (6) (2021)
Xavier Antoine, Xiaofei Zhao
Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. CoRR (2021)
Xavier Antoine, Jie Shen, Qinglin Tang
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. 437 (2021)
Pavel S. Petrov, Xavier Antoine
Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution. J. Comput. Phys. 410 (2020)
Axel Modave, Christophe Geuzaine, Xavier Antoine
Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. J. Comput. Phys. 401 (2020)
B. Caudron, Xavier Antoine, Christophe Geuzaine
Optimized weak coupling of boundary element and finite element methods for acoustic scattering. J. Comput. Phys. 421 (2020)
Xavier Antoine, Christophe Geuzaine, Qinglin Tang
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates. Commun. Nonlinear Sci. Numer. Simul. 90 (2020)
Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve MacLean
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. J. Comput. Phys. 411 (2020)
Xavier Antoine, Emmanuel Lorin
A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. J. Comput. Phys. 395 (2019)
Xavier Antoine, Emmanuel Lorin
On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. J. Comput. Appl. Math. 354 (2019)
Xavier Antoine, Emmanuel Lorin
Towards Perfectly Matched Layers for time-dependent space fractional PDEs. J. Comput. Phys. 391 (2019)
Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve McLean
Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. CoRR (2019)
Songsong Ji, Yibo Yang, Gang Pang, Xavier Antoine
Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains. Comput. Phys. Commun. 222 (2018)
Xavier Antoine, Qinglin Tang, Jiwei Zhang
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Int. J. Comput. Math. 95 (6-7) (2018)
Xavier Antoine, Emmanuel Lorin
Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. Appl. Math. Comput. 336 (2018)
Xavier Antoine, Emmanuel Lorin
Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Comput. Phys. Commun. 220 (2017)
Xavier Antoine, Antoine Levitt, Qinglin Tang
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. J. Comput. Phys. 343 (2017)
Xavier Antoine, Christophe Besse, Romain Duboscq, Vittorio Rispoli
Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Comput. Phys. Commun. 219 (2017)
Xavier Antoine, Emmanuel Lorin
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Numerische Mathematik 137 (4) (2017)
Xavier Antoine, Christophe Besse, Vittorio Rispoli
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. 327 (2016)
Emmanuel Lorin, Xu Yang, Xavier Antoine
Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. J. Comput. Phys. 315 (2016)
Hasan Alzubaidi, Xavier Antoine, Chokri Chniti
Formulation and accuracy of On-Surface Radiation Conditions for acoustic multiple scattering problems. Appl. Math. Comput. 277 (2016)
Xavier Antoine, Qinglin Tang, Yong Zhang
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. J. Comput. Phys. 325 (2016)
Bertrand Thierry, Alexandre Vion, Simon Tournier, Mohamed El Bouajaji, David Colignon, Nicolas Marsic, Xavier Antoine, Christophe Geuzaine
GetDDM: An open framework for testing optimized Schwarz methods for time-harmonic wave problems. Comput. Phys. Commun. 203 (2016)
Xavier Antoine, Emmanuel Lorin
Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Appl. Math. Lett. 57 (2016)
Tahsin Khajah, Xavier Antoine, Stéphane P. A. Bordas
Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems. CoRR (2016)
Bertrand Thierry, Xavier Antoine, Chokri Chniti, Hasan Alzubaidi
μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks. Comput. Phys. Commun. 192 (2015)
Mohamed El Bouajaji, Bertrand Thierry, Xavier Antoine, Christophe Geuzaine
A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations. J. Comput. Phys. 294 (2015)
Xavier Antoine, Romain Duboscq
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations. Comput. Phys. Commun. 193 (2015)
Xavier Antoine, Emmanuel Lorin, André D. Bandrauk
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. J. Sci. Comput. 64 (3) (2015)
Xavier Antoine, Romain Duboscq
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. J. Comput. Phys. 258 (2014)
Mohamed El Bouajaji, Xavier Antoine, Christophe Geuzaine
Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations. J. Comput. Phys. 279 (2014)
Bertrand Thierry, Xavier Antoine, Chokri Chniti, Hasan Alzubaidi
$μ$-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. CoRR (2014)
Xavier Antoine, Romain Duboscq
GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: Computation of stationary solutions. Comput. Phys. Commun. 185 (11) (2014)
Xavier Antoine, Emmanuel Lorin, J. Sater, François Fillion-Gourdeau, André D. Bandrauk
Absorbing boundary conditions for relativistic quantum mechanics equations. J. Comput. Phys. 277 (2014)
Xavier Antoine, Weizhu Bao, Christophe Besse
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Comput. Phys. Commun. 184 (12) (2013)
Bertrand Thierry, Xavier Antoine
Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. J. Comput. Appl. Math. 239 (2013)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Numerische Mathematik 125 (2) (2013)
Yassine Boubendir, Xavier Antoine, Christophe Geuzaine
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. J. Comput. Phys. 231 (2) (2012)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. 33 (2) (2011)
Xavier Antoine, Christophe Geuzaine
Phase reduction models for improving the accuracy of the finite element solution of time-harmonic scattering problems I: General approach and low-order models. J. Comput. Phys. 228 (8) (2009)
Xavier Antoine, Christophe Besse, Pauline Klein
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. J. Comput. Phys. 228 (2) (2009)
Riyad Kechroud, Azzeddine Soulaïmani, Xavier Antoine
A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Adv. Eng. Softw. 40 (8) (2009)
Xavier Antoine, Chokri Chniti, Karim Ramdani
On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. J. Comput. Phys. 227 (3) (2008)
Xavier Antoine, Yassine Boubendir
An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Int. J. Comput. Math. 85 (10) (2008)
Jianhua Yuan, Ya Yan Lu, Xavier Antoine
Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. J. Comput. Phys. 227 (9) (2008)
Xavier Antoine, B. Pinçon, Karim Ramdani, Bertrand Thierry
Far Field Modeling of Electromagnetic Time Reversal and Application to Selective Focusing on Small Scatterers. SIAM J. Appl. Math. 69 (3) (2008)
Xavier Antoine, Christophe Besse, Stéphane Descombes
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal. 43 (6) (2006)
Xavier Antoine, Christophe Besse, Vincent Mouysset
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Math. Comput. 73 (248) (2004)
Xavier Antoine, Helene Barucq
Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism. SIAM J. Appl. Math. 61 (6) (2001)