Edit Profile Antoine, Xavier Compute Distance To: Compute Author ID: antoine.xavier Published as: Antoine, X.; Antoine, Xavier External Links: MGP · Wikidata · ORCID Documents Indexed: 77 Publications since 1998 Reviewing Activity: 97 Reviews all top 5 Co-Authors 4 single-authored 19 Besse, Christophe 10 Lorin, Emmanuel 8 Darbas, Marion 7 Barucq, Hélène 7 Geuzaine, Christophe A. 7 Klein, Pauline 7 Thierry, Bertrand 5 Duboscq, Romain 4 Bendali, Abderrahmane 4 Lu, Ya Yan 4 Ramdani, Karim 3 Chniti, Chokri 3 Ehrhardt, Matthias 3 El Bouajaji, Mohamed 3 Tang, Qinglin 3 Vernhet, Laurent 2 Alzubaidi, Hasan 2 Bandrauk, André D. 2 Boubendir, Yassine 2 Fillion-Gourdeau, François 2 Kechroud, Riyad 2 Rispoli, Vittorio 2 Soulaimani, Azzeddine 1 Amalberti, Julien 1 Arnold, Anton 1 Bao, Weizhu 1 Burnard, Pete 1 Colignon, D. 1 Descombes, Stéphane 1 Dreyfuss, Pierre 1 Hou, Fengji 1 Huang, Yuexia 1 Lemou, Mohammed 1 Levitt, Antoine 1 MacLean, Steve 1 Marsic, N. 1 Mouysset, Vincent 1 Petrov, P. S. 1 Pinçon, Bruno 1 Sater, J. 1 Schädle, Achim 1 Szeftel, Jérémie 1 Tournier, Simon 1 Vion, Alexandre 1 Yang, Xu 1 Yuan, Jianhua 1 Zhang, Yong all top 5 Serials 16 Journal of Computational Physics 7 Computer Physics Communications 3 International Journal for Numerical Methods in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Algorithms & Computational Technology 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Advances in Engineering Software 1 SIAM Journal on Scientific Computing 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Computational Acoustics 1 Cubo 1 Mathematical Geosciences all top 5 Fields 45 Partial differential equations (35-XX) 45 Numerical analysis (65-XX) 23 Optics, electromagnetic theory (78-XX) 12 Fluid mechanics (76-XX) 11 Quantum theory (81-XX) 8 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 60 Publications have been cited 861 times in 417 Documents Cited by ▼ Year ▼ A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim 85 2008 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 74 2013 Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179Antoine, X.; Barucq, H.; Bendali, A. 61 1999 Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097Antoine, X.; Besse, C. 49 2003 Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072Antoine, Xavier; Besse, Christophe; Mouysset, Vincent 38 2004 A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144Boubendir, Y.; Antoine, X.; Geuzaine, C. 37 2012 Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095Antoine, X.; Darbas, M. 36 2005 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102Antoine, Xavier; Besse, Christophe; Descombes, Stephane 30 2006 Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117Antoine, Xavier; Darbas, Marion 29 2007 An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058Antoine, Xavier; Darbas, Marion; Lu, Ya Yan 25 2006 Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates. Zbl 1349.82027Antoine, Xavier; Duboscq, Romain 23 2014 Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008Antoine, Xavier 22 2001 Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074Antoine, Xavier; Besse, Christophe; Klein, Pauline 21 2009 Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324Antoine, Xavier; Besse, Christophe 21 2001 GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003Antoine, Xavier; Duboscq, Romain 19 2014 Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223Antoine, Xavier; Besse, Christophe; Klein, Pauline 17 2011 On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403Antoine, Xavier; Chniti, Chokri; Ramdani, Karim 14 2008 Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion 14 2005 Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114Antoine, Xavier; Duboscq, Romain 13 2015 Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096Antoine, Xavier; Besse, Christophe; Klein, Pauline 13 2012 Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138Antoine, Xavier 12 2001 On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296Antoine, Xavier; Tang, Qinglin; Zhang, Yong 11 2016 A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C. 11 2015 Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D. 11 2014 Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651Antoine, Xavier; Besse, Christophe; Klein, Pauline 11 2013 Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051Kechroud, R.; Antoine, X.; Soulaïmani, A. 11 2005 GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004Antoine, Xavier; Duboscq, Romain 10 2015 Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010El Bouajaji, M.; Antoine, X.; Geuzaine, C. 10 2014 Analytic preconditioners for the electric field integral equation. Zbl 1210.65193Antoine, X.; Bendali, A.; Darbas, M. 10 2004 Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie 9 2009 Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field. Zbl 1332.78026Antoine, X.; Lorin, E.; Bandrauk, A. D. 8 2015 An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001Antoine, X.; Boubendir, Y. 8 2008 Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand 7 2012 Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496Antoine, Xavier; Levitt, Antoine; Tang, Qinglin 6 2017 Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234Antoine, X.; Lorin, E. 5 2017 Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430Lorin, E.; Yang, X.; Antoine, X. 5 2016 Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152Antoine, X.; Lorin, E. 5 2016 \(\mu\)-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478Thierry, Bertrand; Antoine, Xavier; Chniti, Chokri; Alzubaidi, Hasan 5 2015 Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier 5 2008 Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004Antoine, Xavier; Barucq, Hélène 5 2005 High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080Antoine, X.; Barucq, H.; Vernhet, L. 5 2001 An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122Antoine, X.; Lorin, E. 4 2017 GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C. 4 2016 Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B. 4 2008 On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466Antoine, X.; Barucq, H. 4 2005 Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059Antoine, Xavier; Lemou, M. 4 2003 Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel 3 2018 High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio 3 2016 Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100Thierry, Bertrand; Antoine, Xavier 3 2013 Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan 3 2010 An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061Antoine, Xavier; Darbas, Marion; Lu, Ya Yan 3 2005 An algorithm coupling the OSRC and FEM for the computation of an approximate scattered acoustic field by a non-convex body. Zbl 1098.76566Antoine, X. 3 2002 Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054Antoine, Xavier; Thierry, Bertrand 2 2013 Absorbing boundary conditions for solving \(N\)-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias 2 2011 A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025Kechroud, R.; Soulaimani, A.; Antoine, X. 2 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 1161.65082Antoine, Xavier; Geuzaine, Christophe 2 2009 A construction of beam propagation methods for optical waveguides. Zbl 1364.78022Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim 1 2009 Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081Antoine, X.; Barucq, H.; Vernhet, L. 1 2000 A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170Antoine, X.; Barucq, H. 1 1999 A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014Antoine, Xavier 1 1998 Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves. Zbl 1407.65152Antoine, Xavier; Hou, Fengji; Lorin, Emmanuel 3 2018 Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. Zbl 1380.81496Antoine, Xavier; Levitt, Antoine; Tang, Qinglin 6 2017 Computational performance of simple and efficient sequential and parallel Dirac equation solvers. Zbl 1411.35234Antoine, X.; Lorin, E. 5 2017 An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. Zbl 1383.65122Antoine, X.; Lorin, E. 4 2017 On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions. Zbl 1380.65296Antoine, Xavier; Tang, Qinglin; Zhang, Yong 11 2016 Frozen Gaussian approximation based domain decomposition methods for the linear Schrödinger equation beyond the semi-classical regime. Zbl 1349.65430Lorin, E.; Yang, X.; Antoine, X. 5 2016 Lagrange-Schwarz waveform relaxation domain decomposition methods for linear and nonlinear quantum wave problems. Zbl 1334.65152Antoine, X.; Lorin, E. 5 2016 GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems. Zbl 1380.65477Thierry, B.; Vion, A.; Tournier, S.; El Bouajaji, M.; Colignon, D.; Marsic, N.; Antoine, X.; Geuzaine, C. 4 2016 High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1422.65277Antoine, Xavier; Besse, Christophe; Rispoli, Vittorio 3 2016 Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. Zbl 1344.35114Antoine, Xavier; Duboscq, Romain 13 2015 A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell’s equations. Zbl 1349.78066El Bouajaji, M.; Thierry, B.; Antoine, X.; Geuzaine, C. 11 2015 GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. Zbl 1344.82004Antoine, Xavier; Duboscq, Romain 10 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 1332.78026Antoine, X.; Lorin, E.; Bandrauk, A. D. 8 2015 \(\mu\)-diff: an open-source Matlab toolbox for computing multiple scattering problems by disks. Zbl 1380.65478Thierry, 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 1349.82027Antoine, Xavier; Duboscq, Romain 23 2014 GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. Zbl 1348.35003Antoine, Xavier; Duboscq, Romain 19 2014 Absorbing boundary conditions for relativistic quantum mechanics equations. Zbl 1349.81080Antoine, X.; Lorin, E.; Sater, J.; Fillion-Gourdeau, F.; Bandrauk, A. D. 11 2014 Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell’s equations. Zbl 1351.78010El Bouajaji, M.; Antoine, X.; Geuzaine, C. 10 2014 Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1344.35130Antoine, Xavier; Bao, Weizhu; Besse, Christophe 74 2013 Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. II: Discretization and numerical results. Zbl 06217651Antoine, Xavier; Besse, Christophe; Klein, Pauline 11 2013 Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dense media. Zbl 1258.65100Thierry, Bertrand; Antoine, Xavier 3 2013 Spectral and condition number estimates of the acoustic single-layer operator for low-frequency multiple scattering in dilute media. Zbl 1286.74054Antoine, Xavier; Thierry, Bertrand 2 2013 A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Zbl 1243.65144Boubendir, Y.; Antoine, X.; Geuzaine, C. 37 2012 Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential. I: Construction and a priori estimates. Zbl 1251.35096Antoine, Xavier; Besse, Christophe; Klein, Pauline 13 2012 Wide frequency band numerical approaches for multiple scattering problems by disks. Zbl 1280.78002Antoine, Xavier; Ramdani, Karim; Thierry, Bertrand 7 2012 Absorbing boundary conditions for general nonlinear Schrödinger equations. Zbl 1231.35223Antoine, Xavier; Besse, Christophe; Klein, Pauline 17 2011 Absorbing boundary conditions for solving \(N\)-dimensional stationary Schrödinger equations with unbounded potentials and nonlinearities. Zbl 1373.81202Klein, Pauline; Antoine, Xavier; Besse, Christophe; Ehrhardt, Matthias 2 2011 Computing high-frequency scattered fields by beam propagation methods: a prospective study. Zbl 1210.78015Antoine, Xavier; Huang, Yuexia; Lu, Ya Yan 3 2010 Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential. Zbl 1161.65074Antoine, Xavier; Besse, Christophe; Klein, Pauline 21 2009 Towards accurate artificial boundary conditions for nonlinear PDEs through examples. Zbl 1184.35014Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie 9 2009 A performance study of plane wave finite element methods with a Padé-type artificial boundary condition in acoustic scattering. Zbl 1165.76025Kechroud, R.; Soulaimani, A.; Antoine, X. 2 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 1161.65082Antoine, Xavier; Geuzaine, Christophe 2 2009 A construction of beam propagation methods for optical waveguides. Zbl 1364.78022Antoine, Xavier; Dreyfuss, Pierre; Ramdani, Karim 1 2009 A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations. Zbl 1364.65178Antoine, Xavier; Arnold, Anton; Besse, Christophe; Ehrhardt, Matthias; Schadle, Achim 85 2008 On the numerical approximation of high-frequency acoustic multiple scattering problems by circular cylinders. Zbl 1135.65403Antoine, Xavier; Chniti, Chokri; Ramdani, Karim 14 2008 An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations. Zbl 1168.78001Antoine, X.; Boubendir, Y. 8 2008 Modeling photonic crystals by boundary integral equations and Dirichlet-to-Neumann maps. Zbl 1143.78012Yuan, Jianhua; Lu, Ya Yan; Antoine, Xavier 5 2008 Far field modeling of electromagnetic time reversal and application to selective focusing on small scatterers. Zbl 1287.35054Antoine, X.; Pinçon, B.; Ramdani, K.; Thierry, B. 4 2008 Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117Antoine, Xavier; Darbas, Marion 29 2007 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102Antoine, Xavier; Besse, Christophe; Descombes, Stephane 30 2006 An improved surface radiation condition for high-frequency acoustic scattering problems. Zbl 1120.76058Antoine, Xavier; Darbas, Marion; Lu, Ya Yan 25 2006 Alternative integral equations for the iterative solution of acoustic scattering problems. Zbl 1064.76095Antoine, X.; Darbas, M. 36 2005 Analytic preconditioners for the boundary integral solution of the scattering of acoustic waves by open surfaces. Zbl 1189.76356Antoine, Xavier; Bendali, Abderrahmane; Darbas, Marion 14 2005 Numerical accuracy of a Padé-type non-reflecting boundary condition for the finite element solution of acoustic scattering problems at high-frequency. Zbl 1113.76051Kechroud, R.; Antoine, X.; Soulaïmani, A. 11 2005 Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering. Zbl 1074.78004Antoine, Xavier; Barucq, Hélène 5 2005 On the construction of approximate boundary conditions for solving the interior problem of the acoustic scattering transmission problem. Zbl 1152.76466Antoine, X.; Barucq, H. 4 2005 An improved on-surface radiation condition for acoustic scattering problems in the high-frequency spectrum. Zbl 1073.76061Antoine, Xavier; Darbas, Marion; Lu, Ya Yan 3 2005 Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions. Zbl 1053.65072Antoine, Xavier; Besse, Christophe; Mouysset, Vincent 38 2004 Analytic preconditioners for the electric field integral equation. Zbl 1210.65193Antoine, X.; Bendali, A.; Darbas, M. 10 2004 Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. Zbl 1037.65097Antoine, X.; Besse, C. 49 2003 Wavelet approximations of a collision operator in kinetic theory. Zbl 1028.76059Antoine, 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 1098.76566Antoine, X. 3 2002 Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method. Zbl 1001.78008Antoine, Xavier 22 2001 Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. Zbl 1129.35324Antoine, Xavier; Besse, Christophe 21 2001 Microlocal diagonalization of strictly hyperbolic pseudodifferential systems and application to the design of radiation conditions in electromagnetism. Zbl 0983.35138Antoine, Xavier 12 2001 High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions. Zbl 0986.76080Antoine, X.; Barucq, H.; Vernhet, L. 5 2001 Approximate numerical solution of the acoustic scattering by a penetrable object using impedance boundary conditions. Zbl 0978.76081Antoine, X.; Barucq, H.; Vernhet, L. 1 2000 Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape. Zbl 0923.35179Antoine, X.; Barucq, H.; Bendali, A. 61 1999 A diagonalization method for first-order strictly hyperbolic pseudodifferential systems. Application to the construction of radiation boundary conditions. Zbl 1034.35170Antoine, X.; Barucq, H. 1 1999 A numerical study of a scattering problem involving a generalized impedance boundary condition using the on-surface radiation condition method. Zbl 0943.78014Antoine, Xavier 1 1998 all cited Publications top 5 cited Publications all top 5 Cited by 596 Authors 43 Antoine, Xavier 15 Barucq, Hélène 14 Besse, Christophe 13 Lorin, Emmanuel 12 Djellouli, Rabia 12 Geuzaine, Christophe A. 12 Zheng, Chunxiong 11 Bao, Weizhu 9 Darbas, Marion 8 Cai, Yongyong 8 Tang, Qinglin 8 Zhang, Jiwei 7 Boubendir, Yassine 7 Dehghan Takht Fooladi, Mehdi 7 Turc, Catalin 7 Zlotnik, Alexander A. 6 Gander, Martin Jakob 6 Thierry, Bertrand 6 Wang, Tingchun 5 Han, Houde 5 Petrov, P. S. 5 Wang, Pengde 5 Wu, Xiaonan 4 Abbaszadeh, Mostafa 4 Ashyralyev, Allaberen 4 Bandrauk, André D. 4 Bruno, Oscar P. 4 Chaillat, Stéphanie 4 Chniti, Chokri 4 Claeys, Xavier 4 Collino, Francis 4 Dolean, Victorita 4 Duboscq, Romain 4 Ehrhardt, Matthias 4 Farhat, Charbel H. 4 Huang, Chengming 4 Joly, Patrick 4 Le Louër, Frédérique 4 Levadoux, David P. 4 Pham, Ha Thanh 4 Tang, Shaoqiang 4 Vaibhav, Vishal 4 Wang, Jilu 4 Zhang, Hui 4 Zhang, Rongpei 3 Abounouh, Mostafa 3 Acosta, Sebastian 3 Al Moatassime, Hassan 3 Arnold, Anton 3 Ben Abdallah, Naoufel 3 Birk, Carolin 3 Cassier, Maxence 3 Chabassier, Juliette 3 Čiegis, Raimondas 3 Diaz, Julien 3 Duruflé, Marc 3 El Bouajaji, Mohamed 3 Guddati, Murthy N. 3 Harari, Isaac 3 He, Dongdong 3 Henning, Patrick 3 Jiang, Chaolong 3 Jin, Jicheng 3 Klein, Pauline 3 Lakoba, Taras I. 3 Li, Xianggui 3 Liang, Xiao 3 Liu, Wen-Jie 3 Noble, Pascal 3 Pan, Kejia 3 Pang, Gang 3 Pinaud, Olivier 3 Ruan, Xinran 3 Saint-Guirons, A.-G. 3 Sirma, Ali 3 Song, Chongmin 3 Spence, Euan A. 3 Sun, Zhizhong 3 Szeftel, Jérémie 3 Tezaur, Radek 3 Turkel, Eli L. 3 Vion, Alexandre 3 Wang, Hanquan 3 Wang, Yushun 3 Wu, Boying 3 Xing, Feng 3 Yang, Xu 3 Yin, Jia 3 Yu, Xijun 3 Zhang, Yong 2 Alazard, Thomas 2 Alonso-Mallo, Isaías 2 Alzubaidi, Hasan 2 Bader, Philipp 2 Bhatt, Harish P. 2 Bian, Lei 2 Bonnet, Marc 2 Chelkowski, Szczepan 2 Chrifi, Abderrazak 2 Coulombel, Jean-François ...and 496 more Authors all top 5 Cited in 91 Serials 72 Journal of Computational Physics 24 Computers & Mathematics with Applications 23 Journal of Computational and Applied Mathematics 23 Applied Numerical Mathematics 16 Journal of Scientific Computing 15 Computer Methods in Applied Mechanics and Engineering 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Wave Motion 12 Applied Mathematics and Computation 10 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 8 Journal of Mathematical Analysis and Applications 8 International Journal for Numerical Methods in Engineering 8 Engineering Analysis with Boundary Elements 7 Computer Physics Communications 7 Numerical Methods for Partial Differential Equations 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Algorithms 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 4 International Journal of Computer Mathematics 4 SIAM Journal on Applied Mathematics 4 Advances in Computational Mathematics 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Applied Mathematical Modelling 3 Mathematical Problems in Engineering 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Kinetic and Related Models 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Inverse Problems 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Physica D 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Review 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Journal of Computational Acoustics 2 Acta Mechanica Sinica 2 SIAM Journal on Imaging Sciences 2 Science China. Mathematics 2 Communications on Applied Mathematics and Computation 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 BIT 1 Calcolo 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Advances in Engineering Software 1 Computational and Applied Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Discrete and Continuous Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 The ANZIAM Journal 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Computational Methods 1 Acta Numerica 1 Science in China. Series G 1 Boundary Value Problems 1 Frontiers of Mathematics in China 1 Journal of Computational Dynamics 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 EMS Surveys in Mathematical Sciences 1 Journal of Function Spaces 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 SN Partial Differential Equations and Applications all top 5 Cited in 36 Fields 322 Numerical analysis (65-XX) 274 Partial differential equations (35-XX) 66 Optics, electromagnetic theory (78-XX) 61 Fluid mechanics (76-XX) 47 Quantum theory (81-XX) 37 Statistical mechanics, structure of matter (82-XX) 33 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Special functions (33-XX) 5 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Astronomy and astrophysics (85-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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