Xavier Antoine

66 papers Journal 65

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Domain Decomposition Solver for Large Scale Time-Harmonic Flow Acoustics Problems. SIAM J. Sci. Comput. Philippe Marchner, Hadrien Bériot, Sophie Le Bras, Xavier Antoine, Christophe Geuzaine
2024	J	`jnl`	Adaptation and assessement of projected Nesterov accelerated gradient flow to compute stationary states of nonlinear Schrödinger equations. Int. J. Comput. Math. Xavier Antoine, Chorouq Bentayaa, Jérémie Gaidamour
2024	J	`jnl`	Construction and analysis of discretization schemes for one-dimensional nonlocal Schrödinger equations with exact absorbing boundary conditions. J. Comput. Appl. Math. Gang Pang, Songsong Ji, Xavier Antoine
2024	J	`jnl`	Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. Commun. Nonlinear Sci. Numer. Simul. Xavier Antoine, Jérémie Gaidamour, Emmanuel Lorin
2022	J	`jnl`	A MultiHarmonic Finite Element Method for Scattering Problems with Small-Amplitude Boundary Deformations. SIAM J. Sci. Comput. David Gasperini, Hans-Peter Biese, Udo Schröder, Xavier Antoine, Christophe Geuzaine
2022	J	`jnl`	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. Ismaïl Badia, Boris Caudron, Xavier Antoine, Christophe Geuzaine
2022	J	`jnl`	Accurate absorbing boundary conditions for two-dimensional peridynamics. J. Comput. Phys. Gang Pang, Songsong Ji, Xavier Antoine
2022	J	`jnl`	Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems. SIAM J. Appl. Math. Philippe Marchner, Xavier Antoine, Christophe Geuzaine, Hadrien Bériot
2022	J	`jnl`	Generalized Fractional Algebraic Linear System Solvers. J. Sci. Comput. Xavier Antoine, Emmanuel Lorin
2022	J	`jnl`	Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. J. Comput. Phys. Xavier Antoine, Xiaofei Zhao
2021	J	`jnl`	Artificial boundary conditions for the semi-discretized one-dimensional nonlocal Schrödinger equation. J. Comput. Phys. Songsong Ji, Gang Pang, Xavier Antoine, Jiwei Zhang
2021	J	`jnl`	BEC2HPC: A HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation. Comput. Phys. Commun. Jérémie Gaidamour, Qinglin Tang, Xavier Antoine
2021	J	`jnl`	Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers. Numer. Algorithms Xavier Antoine, Emmanuel Lorin, Y. Zhang
2021	J	`jnl`	ODE-based double-preconditioning for solving linear systems A α x = b and f ( A ) x = b. Numer. Linear Algebra Appl. Xavier Antoine, Emmanuel Lorin
2021	J	`jnl`	Pseudospectral methods with PML for nonlinear Klein-Gordon equations in classical and non-relativistic regimes. CoRR Xavier Antoine, Xiaofei Zhao
2021	J	`jnl`	Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. Xavier Antoine, Jie Shen, Qinglin Tang
2021	J	`jnl`	Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain. Math. Comput. Gang Pang, Yibo Yang, Xavier Antoine, Shaoqiang Tang
2021	J	`jnl`	Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation. J. Comput. Phys. Philippe Marchner, Hadrien Bériot, Xavier Antoine, Christophe Geuzaine
2020	J	`jnl`	Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering. J. Comput. Phys. Axel Modave, Christophe Geuzaine, Xavier Antoine
2020	J	`jnl`	Optimized weak coupling of boundary element and finite element methods for acoustic scattering. J. Comput. Phys. Boris Caudron, Xavier Antoine, Christophe Geuzaine
2020	J	`jnl`	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. Xavier Antoine, Christophe Geuzaine, Qinglin Tang
2020	J	`jnl`	Pseudodifferential adiabatic mode parabolic equations in curvilinear coordinates and their numerical solution. J. Comput. Phys. Pavel S. Petrov, Xavier Antoine
2020	J	`jnl`	Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. J. Comput. Phys. Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve MacLean
2019	J	`jnl`	A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. J. Comput. Phys. Xavier Antoine, Emmanuel Lorin
2019	J	`jnl`	On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schrödinger equation. J. Comput. Appl. Math. Xavier Antoine, Emmanuel Lorin
2019	J	`jnl`	Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces. CoRR Xavier Antoine, François Fillion-Gourdeau, Emmanuel Lorin, Steve McLean
2019	J	`jnl`	Towards Perfectly Matched Layers for time-dependent space fractional PDEs. J. Comput. Phys. Xavier Antoine, Emmanuel Lorin
2018	J	`jnl`	Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains. Comput. Phys. Commun. Songsong Ji, Yibo Yang, Gang Pang, Xavier Antoine
2018	J	`jnl`	Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation. Appl. Math. Comput. Xavier Antoine, Emmanuel Lorin
2018	J	`jnl`	On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. Int. J. Comput. Math. Xavier Antoine, Qinglin Tang, Jiwei Zhang
2017	J	`jnl`	Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. Comput. Phys. Commun. Xavier Antoine, Christophe Besse, Romain Duboscq, Vittorio Rispoli
2017	J	`jnl`	An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Numerische Mathematik Xavier Antoine, Emmanuel Lorin
2017	J	`jnl`	Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Comput. Phys. Commun. Xavier Antoine, Emmanuel Lorin
2017	J	`jnl`	Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. J. Comput. Phys. Xavier Antoine, Antoine Levitt, Qinglin Tang
2016	J	`jnl`	Formulation and accuracy of On-Surface Radiation Conditions for acoustic multiple scattering problems. Appl. Math. Comput. Hasan Alzubaidi, Xavier Antoine, Chokri Chniti
2016	J	`jnl`	Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. J. Comput. Phys. Emmanuel Lorin, Xu Yang, Xavier Antoine
2016	J	`jnl`	GetDDM: An open framework for testing optimized Schwarz methods for time-harmonic wave problems. Comput. Phys. Commun. Bertrand Thierry, Alexandre Vion, Simon Tournier, Mohamed El Bouajaji, David Colignon, Nicolas Marsic, Xavier Antoine, Christophe Geuzaine
2016	J	`jnl`	High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. Xavier Antoine, Christophe Besse, Vittorio Rispoli
2016	J	`jnl`	Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems. CoRR Tahsin Khajah, Xavier Antoine, Stéphane P. A. Bordas
2016	J	`jnl`	Lagrange-Schwarz Waveform Relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Appl. Math. Lett. Xavier Antoine, Emmanuel Lorin
2016	J	`jnl`	On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. J. Comput. Phys. Xavier Antoine, Qinglin Tang, Yong Zhang
2015	J	`jnl`	A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations. J. Comput. Phys. Mohamed El Bouajaji, Bertrand Thierry, Xavier Antoine, Christophe Geuzaine
2015	J	`jnl`	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. Xavier Antoine, Emmanuel Lorin, André D. Bandrauk
2015	J	`jnl`	GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations II: Dynamics and stochastic simulations. Comput. Phys. Commun. Xavier Antoine, Romain Duboscq
2015	J	`jnl`	μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks. Comput. Phys. Commun. Bertrand Thierry, Xavier Antoine, Chokri Chniti, Hasan Alzubaidi
2014	J	`jnl`	$μ$-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. CoRR Bertrand Thierry, Xavier Antoine, Chokri Chniti, Hasan Alzubaidi
2014	J	`jnl`	Absorbing boundary conditions for relativistic quantum mechanics equations. J. Comput. Phys. Xavier Antoine, Emmanuel Lorin, J. Sater, François Fillion-Gourdeau, André D. Bandrauk
2014	J	`jnl`	Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations. J. Comput. Phys. Mohamed El Bouajaji, Xavier Antoine, Christophe Geuzaine
2014	J	`jnl`	GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: Computation of stationary solutions. Comput. Phys. Commun. Xavier Antoine, Romain Duboscq
2014	J	`jnl`	Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. J. Comput. Phys. Xavier Antoine, Romain Duboscq
2013	—	`ch.`	A Non-overlapping Quasi-optimal Optimized Schwarz Domain Decomposition Algorithm for the Helmholtz Equation. Domain Decomposition Methods in Science and Engineering XX Yassine Boubendir, Xavier Antoine, Christophe Geuzaine
2013	J	`jnl`	Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. Numerische Mathematik Xavier Antoine, Christophe Besse, Pauline Klein
2013	J	`jnl`	Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Comput. Phys. Commun. Xavier Antoine, Weizhu Bao, Christophe Besse
2013	J	`jnl`	Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. J. Comput. Appl. Math. Bertrand Thierry, Xavier Antoine
2012	J	`jnl`	A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. J. Comput. Phys. Yassine Boubendir, Xavier Antoine, Christophe Geuzaine
2011	J	`jnl`	Absorbing Boundary Conditions for General Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. Xavier Antoine, Christophe Besse, Pauline Klein
2009	J	`jnl`	A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Adv. Eng. Softw. Riyad Kechroud, Azzeddine Soulaïmani, Xavier Antoine
2009	J	`jnl`	Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. J. Comput. Phys. Xavier Antoine, Christophe Besse, Pauline Klein
2009	J	`jnl`	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. Xavier Antoine, Christophe Geuzaine
2008	J	`jnl`	An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Int. J. Comput. Math. Xavier Antoine, Yassine Boubendir
2008	J	`jnl`	Far Field Modeling of Electromagnetic Time Reversal and Application to Selective Focusing on Small Scatterers. SIAM J. Appl. Math. Xavier Antoine, B. Pinçon, Karim Ramdani, Bertrand Thierry
2008	J	`jnl`	Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. J. Comput. Phys. Jianhua Yuan, Ya Yan Lu, Xavier Antoine
2008	J	`jnl`	On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. J. Comput. Phys. Xavier Antoine, Chokri Chniti, Karim Ramdani
2006	J	`jnl`	Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. SIAM J. Numer. Anal. Xavier Antoine, Christophe Besse, Stéphane Descombes
2004	J	`jnl`	Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Math. Comput. Xavier Antoine, Christophe Besse, Vincent Mouysset
2001	J	`jnl`	Microlocal Diagonalization of Strictly Hyperbolic Pseudodifferential Systems and Application to the Design of Radiation Conditions in Electromagnetism. SIAM J. Appl. Math. Xavier Antoine, Helene Barucq