Edit Profile (opens in new tab) Sonnendrücker, Eric Co-Author Distance Author ID: sonnendrucker.eric Published as: Sonnendrücker, Eric; Sonnendrücker, E.; Sonnendrücker, Éric; Sonnendrücker, éric; Sonnendrucker, E. more...less External Links: ORCID Documents Indexed: 101 Publications since 1995, including 11 Additional arXiv Preprints 7 Contributions as Editor Co-Authors: 145 Co-Authors with 106 Joint Publications 2,412 Co-Co-Authors all top 5 Co-Authors 2 single-authored 17 Crouseilles, Nicolas 12 Latu, Guillaume 11 Frénod, Emmanuel 11 Mehrenberger, Michel 8 Campos Pinto, Martin 8 Filbet, Francis 8 Grandgirard, Virginie 7 Besse, Nicolas 7 Kormann, Katharina 7 Munz, Claus-Dieter 6 Assous, Franck 6 Bertrand, Pierre 6 Gutnic, Michaël 6 Raviart, Pierre-Arnaud 5 Ratnani, Ahmed 4 Ciarlet, Patrick jun. 4 Garbet, Xavier 4 Ghendrih, Philippe 4 Morrison, Philip J. 4 Sarazin, Yanick 3 Abiteboul, Jérémie 3 Back, Aurore 3 Barham, William 3 Braeunig, Jean-Philippe 3 Ghizzo, Alain 3 Güçlü, Yaman 3 Guillard, Hervé 3 Salmon, Stéphanie 3 Schneider, Rudolf 3 Segré, Jacques 3 Voss, Ursula 2 Afeyan, Bedros 2 Bourne, Emily 2 Dif-Pradalier, Guilhem 2 Dumbser, Michael 2 Farge, Marie 2 Franck, Emmanuel 2 Goudon, Thierry 2 Helluy, Philippe 2 Hirstoaga, Sever A. 2 Holderied, Florian 2 Jund, Sébastien 2 Li, Yingzhe 2 Paun, Ioana 2 Perse, Benedikt 2 Possanner, Stefan 2 Respaud, Thomas 2 Schneider, Kai 2 Sellama, Hocine 2 Strugarek, A. 2 Zarzoso, David 1 Abboud, Hyam 1 Ackerer, Philippe 1 Altmann, Christoph 1 Ambrosiano, John J. 1 Angulo, Wilfredo 1 Barthelmé, Régine 1 Belaouar, Radoin 1 Belat, Thomas 1 Bell, Dominik 1 Benachour, Said 1 Bergot, Morgane 1 Bigot, Julien 1 Bostan, Mihai 1 Brandon, Scott T. 1 Busto, Saray 1 Cancès, Eric 1 Cartier-Michaud, Thomas 1 Casas, Fernando 1 Cordier, Stéphane 1 Coulaud, Olivier 1 Coulette, David 1 Crestetto, Anaïs 1 Crouselles, N. 1 Degond, Pierre 1 Dodhy, Adila 1 Domingues, Margarete O. 1 Ehrlacher, Ch. 1 Esteve, Damien 1 Fambri, Francesco 1 Faou, Erwan 1 Fortenbach, Roland 1 Friedman, Alex 1 Gassama, Salimou 1 Grote, David P. 1 Guterl, Jerome 1 Häfele, Martin 1 Hamiaz, Adnane 1 Hatzky, Roman 1 Hayek, Mohamed 1 Hérard, Jean-Marc 1 Hindenlang, Florian J. 1 Hölzl, Matthias M. 1 Huot, F. 1 Jaouen, Stéphane 1 Jourdren, Hervé 1 Kleiber, Ralf 1 Klein, Rupert 1 Kraus, Michael 1 Kruse, Carola ...and 45 more Co-Authors all top 5 Serials 18 Journal of Computational Physics 11 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 4 Computer Physics Communications 4 Journal of Scientific Computing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Discrete and Continuous Dynamical Systems. Series S 3 Numerische Mathematik 3 Communications in Nonlinear Science and Numerical Simulation 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 International Journal of Applied Mathematics and Computer Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 IRMA Lectures in Mathematics and Theoretical Physics 2 Communications in Computational Physics 2 SMAI Journal of Computational Mathematics 1 Computers and Fluids 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Panoramas et Synthèses 1 Communications in Applied and Industrial Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 60 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 35 Statistical mechanics, structure of matter (82-XX) 30 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 1,517 times in 721 Documents Cited by ▼ Year ▼ The semi-Lagrangian method for the numerical resolution of the Vlasov equation. Zbl 0934.76073 Sonnendrücker, Eric; Roche, Jean; Bertrand, Pierre; Ghizzo, Alain 155 1999 Conservative numerical schemes for the Vlasov equation. Zbl 0998.65138 Filbet, Francis; Sonnendrücker, Eric; Bertrand, Pierre 148 2001 Comparison of Eulerian Vlasov solvers. Zbl 1196.82108 Filbet, F.; Sonnendrücker, E. 129 2003 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010 Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 108 2000 Conservative semi-Lagrangian schemes for Vlasov equations. Zbl 1303.76103 Crouseilles, Nicolas; Mehrenberger, Michel; Sonnendrücker, Eric 108 2010 A forward semi-Lagrangian method for the numerical solution of the Vlasov equation. Zbl 1197.82012 Crouseilles, Nicolas; Respaud, Thomas; Sonnendrücker, Eric 62 2009 Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. Zbl 1030.82011 Besse, N.; Sonnendrücker, E. 45 2003 A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation. Zbl 1160.76385 Grandgirard, V.; Brunetti, M.; Bertrand, P.; Besse, N.; Garbet, X.; Ghendrih, P.; Manfredi, G.; Sarazin, Y.; Sauter, O.; Sonnendrücker, E.; Vaclavik, J.; Villard, L. 43 2006 Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field. Zbl 0936.82032 Frénod, Emmanuel; Sonnendrücker, Eric 37 1998 The finite Larmor radius approximation. Zbl 0980.82030 Frénod, Emmanuel; Sonnendrücker, Eric 37 2001 Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111 Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E. 34 1998 Long time behavior of the two-dimensional Vlasov equation with a strong external magnetic field. Zbl 1012.82021 Frénod, E.; Sonnendrücker, E. 33 2000 Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Zbl 1373.82075 Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric 27 2015 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005 Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 26 1999 Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. Zbl 1109.78013 Filbet, Francis; Sonnendrücker, Eric 24 2006 Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method. Zbl 1168.82026 Frénod, Emmanuel; Salvarani, Francesco; Sonnendrücker, Eric 23 2009 Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system. Zbl 1073.82039 Huot, F.; Ghizzo, A.; Bertrand, P.; Sonnendrücker, E.; Coulaud, O. 23 2003 A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system. Zbl 1194.83013 Besse, Nicolas; Latu, Guillaume; Ghizzo, Alain; Sonnendrücker, Eric; Bertrand, Pierre 21 2008 Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026 Frénod, E.; Raviart, P.-A.; Sonnendrücker, E. 21 2001 A 5D gyrokinetic full-\(f\) global semi-Lagrangian code for flux-driven ion turbulence simulations. Zbl 1375.76127 Grandgirard, V.; Abiteboul, J.; Bigot, J.; Cartier-Michaud, T.; Crouseilles, N.; Dif-Pradalier, G.; Ehrlacher, Ch.; Esteve, D.; Garbet, X.; Ghendrih, Ph.; Latu, G.; Mehrenberger, M.; Norscini, C.; Passeron, Ch.; Rozar, F.; Sarazin, Y.; Sonnendrücker, E.; Strugarek, A.; Zarzoso, D. 20 2016 A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122 Raviart, Pierre-Arnaud; Sonnendrücker, Eric 16 1996 An arbitrary high-order spline finite element solver for the time domain Maxwell equations. Zbl 1247.78042 Ratnani, Ahmed; Sonnendrücker, Eric 16 2012 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217 Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 15 2009 A finite element formulation of the Darwin PIC model for use on unstructured grids. Zbl 0834.76052 Sonnendrücker, Eric; Ambrosiano, John J.; Brandon, Scott T. 15 1995 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169 Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 15 1999 Sparse grids for the Vlasov-Poisson equation. Zbl 1381.82020 Kormann, Katharina; Sonnendrücker, Eric 15 2016 Vlasov simulations on an adaptive phase-space grid. Zbl 1196.76098 Gutnic, M.; Haefele, M.; Paun, I.; Sonnendrücker, E. 15 2004 Computing ITG turbulence with a full-\(f\) semi-Lagrangian code. Zbl 1129.35462 Grandgirard, V.; Sarazin, Y.; Garbet, X.; Dif-Pradalier, G.; Ghendrih, Ph.; Crouseilles, N.; Latu, G.; Sonnendrücker, E.; Besse, N.; Bertrand, P. 14 2008 Energy conserving discontinuous Galerkin spectral element method for the Vlasov-Poisson system. Zbl 1354.65205 Madaule, Éric; Restelli, Marco; Sonnendrücker, Eric 14 2014 A parallel Vlasov solver based on local cubic spline interpolation on patches. Zbl 1171.76044 Crouseilles, Nicolas; Latu, Guillaume; Sonnendrücker, Eric 13 2009 Gauss-compatible Galerkin schemes for time-dependent Maxwell equations. Zbl 1344.65092 Campos Pinto, Martin; Sonnendrücker, Eric 12 2016 Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver. Zbl 07508489 Kormann, Katharina; Sonnendrücker, Eric 11 2021 Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103 Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric 10 2007 On the Vlasov-Maxwell system with a strong magnetic field. Zbl 1387.78011 Filbet, Francis; Xiong, Tao; Sonnendrücker, Eric 10 2018 Numerical methods for the Vlasov equation. Zbl 1254.82036 Filbet, F.; Sonnendrücker, E. 10 2003 Noiseless Vlasov-Poisson simulations with linearly transformed particles. Zbl 1349.82138 Campos Pinto, Martin; Sonnendrücker, Eric; Friedman, Alex; Grote, David P.; Lund, Steve M. 10 2014 Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation. Zbl 1159.65016 Crouseilles, Nicolas; Latu, Guillaume; Sonnendrücker, Eric 10 2007 Analysis of a new class of forward semi-Lagrangian schemes for the 1D Vlasov Poisson equations. Zbl 1284.65145 Respaud, Thomas; Sonnendrücker, Eric 9 2011 An exponential integrator for a highly oscillatory Vlasov equation. Zbl 1302.35367 Frénod, Emmanuel; Hirstoaga, Sever A.; Sonnendrücker, Eric 9 2015 Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027 Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric 8 2003 Vlasov on GPU (VOG project). Zbl 1329.65330 Mehrenberger, M.; Steiner, C.; Marradi, L.; Crouseilles, N.; Sonnendrücker, E.; Afeyan, B. 8 2013 Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations. Zbl 1410.82027 Campos Pinto, Martin; Mounier, Marie; Sonnendrücker, Eric 8 2016 Variational framework for structure-preserving electromagnetic particle-in-cell methods. Zbl 1494.35145 Campos Pinto, Martin; Kormann, Katharina; Sonnendrücker, Eric 8 2022 Geometric particle-in-cell simulations of the Vlasov-Maxwell system in curvilinear coordinates. Zbl 1466.65142 Perse, Benedikt; Kormann, Katharina; Sonnendrücker, Eric 8 2021 Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations. Zbl 1412.65081 Latu, Guillaume; Mehrenberger, Michel; Güçlü, Yaman; Ottaviani, Maurizio; Sonnendrücker, Eric 7 2018 A local time-stepping discontinuous Galerkin algorithm for the MHD system. Zbl 1176.76058 Altmann, Christoph; Belat, Thomas; Gutnic, Michael; Helluy, Philippe; Mathis, Hélène; Sonnendrücker, éric; Angulo, Wilfredo; Hérard, Jean-Marc 7 2009 A split control variate scheme for PIC simulations with collisions. Zbl 1349.82120 Sonnendrücker, Eric; Wacher, Abigail; Hatzky, Roman; Kleiber, Ralf 7 2015 Compatible Maxwell solvers with particles. I: Conforming and non-conforming 2D schemes with a strong Ampere law. Zbl 1416.78028 Pinto, Martin Campos; Sonnendrücker, Eric 7 2017 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015 Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 6 1999 Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena. Zbl 1149.82028 Besse, Nicolas; Mauser, Norbert J.; Sonnendrücker, Eric 6 2007 An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. Zbl 1254.82035 Besse, N.; Filbet, F.; Gutnic, M.; Paun, I.; Sonnendrücker, E. 5 2003 A new refinement indicator for adaptive parameterization: Application to the estimation of the diffusion coefficient in an elliptic problem. Zbl 1157.65060 Hayek, Mohamed; Ackerer, Philippe; Sonnendrücker, Éric 5 2009 Wavelet denoising for postprocessing of a 2D particle-in-cell code. Zbl 1206.65267 Gassama, Salimou; Sonnendrücker, Éric; Schneider, Kai; Farge, Marie; Domingues, Margarete O. 5 2007 The semi-Lagrangian method on curvilinear grids. Zbl 1398.76137 Hamiaz, Adnane; Mehrenberger, Michel; Sellama, Hocine; Sonnendrücker, Eric 5 2016 Implicit time schemes for compressible fluid models based on relaxation methods. Zbl 1519.76205 Coulette, D.; Franck, E.; Helluy, P.; Ratnani, A.; Sonnendrücker, E. 5 2019 Approximate models for the Maxwell equations. Zbl 0862.65076 Raviart, Pierre-Arnau; Sonnendrücker, Eric 4 1995 An isogeometric analysis approach for the study of the gyrokinetic quasi-neutrality equation. Zbl 1246.82101 Crouseilles, Nicolas; Ratnani, Ahmed; Sonnendrücker, Eric 4 2012 Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Zbl 1109.82002 Besse, Nicolas; Segré, Jacques; Sonnendrücker, Eric 4 2005 Compatible Maxwell solvers with particles. II: Conforming and non-conforming 2D schemes with a strong Faraday law. Zbl 1416.78029 Pinto, Martin Campos; Sonnendrücker, Eric 4 2017 Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. II. Zbl 1130.82036 Crouseilles, N.; Gutnic, M.; Latu, G.; Sonnendrücker, E. 3 2008 Spline discrete differential forms. Zbl 1357.41007 Back, Aurore; Sonnendrücker, Eric 3 2012 Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations. Zbl 1127.76034 Frénod, Emmanuel; Mouton, Alexandre; Sonnendrücker, Eric 3 2007 Joly-mercier boundary condition for the finite element solution of 3D Maxwell equations. Zbl 1193.78022 Assous, Franck; Sonnendrücker, Eric 3 2010 Finite element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system. Zbl 1288.65140 Back, Aurore; Sonnendrücker, Eric 3 2014 “Finite Larmor radius” approximation of the Vlasov equation. (Approximation ”rayon de Larmor fini” pour l’équation de Vlasov.) Zbl 0943.35073 Frénod, Emmanuel; Sonnendrücker, Eric 2 2000 Solving the Vlasov equation in complex geometries. Zbl 1235.76101 Abiteboul, J.; Latu, G.; Grandgirard, V.; Ratnani, A.; Sonnendrücker, E.; Strugarek, A. 2 2011 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354 Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Resolution of Maxwell’s equations in a domain with a reentrant corner. (Résolution des équations de Maxwell dans un domaine avec un coin rentrant.) Zbl 0855.65131 Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric 2 1996 Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. I. Zbl 1130.82035 Crouseilles, N.; Gutnic, M.; Latu, G.; Sonnendrücker, E. 1 2008 A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation. Zbl 1230.78035 Assous, Franck; Segré, J.; Sonnendrücker, E. 1 2011 Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations. Zbl 1301.76063 Nguyen van yen, Romain; Sonnendrücker, Éric; Schneider, Kai; Farge, Marie 1 2011 Direct axisymmetric Vlasov simulations of space charge dominated beams. Zbl 1160.76406 Filbet, F.; Lemaire, J.-L.; Sonnendrücker, E. 1 2002 Guiding-center simulations on curvilinear meshes. Zbl 1242.76156 Braeunig, Jean-Philippe; Crouseilles, Nicolas; Mehrenberger, Michel; Sonnendrücker, Eric 1 2012 High-order dimensionally split Lagrange-remap schemes for ideal magnetohydrodynamics. Zbl 1248.35011 Wolff, Marc; Jaouen, Stéphane; Jourdren, Hervé; Sonnendrücker, Eric 1 2012 Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code. Zbl 1329.76382 Franck, Emmanuel; Hölzl, Matthias; Lessig, Alexander; Sonnendrücker, Eric 1 2015 Solving the guiding-center model on a regular hexagonal mesh. Zbl 1355.65157 Mehrenberger, Michel; Mendoza, Laura S.; Prouveur, Charles; Sonnendrücker, Eric 1 2016 High-order low dissipation conforming finite-element discretization of the Maxwell equations. Zbl 1373.78419 Jund, Sébastien; Salmon, Stéphanie; Sonnendrücker, Eric 1 2012 A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Zbl 07748072 Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. 1 2023 A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. Zbl 07748072 Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. 1 2023 Variational framework for structure-preserving electromagnetic particle-in-cell methods. Zbl 1494.35145 Campos Pinto, Martin; Kormann, Katharina; Sonnendrücker, Eric 8 2022 Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov-Maxwell solver. Zbl 07508489 Kormann, Katharina; Sonnendrücker, Eric 11 2021 Geometric particle-in-cell simulations of the Vlasov-Maxwell system in curvilinear coordinates. Zbl 1466.65142 Perse, Benedikt; Kormann, Katharina; Sonnendrücker, Eric 8 2021 Implicit time schemes for compressible fluid models based on relaxation methods. Zbl 1519.76205 Coulette, D.; Franck, E.; Helluy, P.; Ratnani, A.; Sonnendrücker, E. 5 2019 On the Vlasov-Maxwell system with a strong magnetic field. Zbl 1387.78011 Filbet, Francis; Xiong, Tao; Sonnendrücker, Eric 10 2018 Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations. Zbl 1412.65081 Latu, Guillaume; Mehrenberger, Michel; Güçlü, Yaman; Ottaviani, Maurizio; Sonnendrücker, Eric 7 2018 Compatible Maxwell solvers with particles. I: Conforming and non-conforming 2D schemes with a strong Ampere law. Zbl 1416.78028 Pinto, Martin Campos; Sonnendrücker, Eric 7 2017 Compatible Maxwell solvers with particles. II: Conforming and non-conforming 2D schemes with a strong Faraday law. Zbl 1416.78029 Pinto, Martin Campos; Sonnendrücker, Eric 4 2017 A 5D gyrokinetic full-\(f\) global semi-Lagrangian code for flux-driven ion turbulence simulations. Zbl 1375.76127 Grandgirard, V.; Abiteboul, J.; Bigot, J.; Cartier-Michaud, T.; Crouseilles, N.; Dif-Pradalier, G.; Ehrlacher, Ch.; Esteve, D.; Garbet, X.; Ghendrih, Ph.; Latu, G.; Mehrenberger, M.; Norscini, C.; Passeron, Ch.; Rozar, F.; Sarazin, Y.; Sonnendrücker, E.; Strugarek, A.; Zarzoso, D. 20 2016 Sparse grids for the Vlasov-Poisson equation. Zbl 1381.82020 Kormann, Katharina; Sonnendrücker, Eric 15 2016 Gauss-compatible Galerkin schemes for time-dependent Maxwell equations. Zbl 1344.65092 Campos Pinto, Martin; Sonnendrücker, Eric 12 2016 Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations. Zbl 1410.82027 Campos Pinto, Martin; Mounier, Marie; Sonnendrücker, Eric 8 2016 The semi-Lagrangian method on curvilinear grids. Zbl 1398.76137 Hamiaz, Adnane; Mehrenberger, Michel; Sellama, Hocine; Sonnendrücker, Eric 5 2016 Solving the guiding-center model on a regular hexagonal mesh. Zbl 1355.65157 Mehrenberger, Michel; Mendoza, Laura S.; Prouveur, Charles; Sonnendrücker, Eric 1 2016 Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Zbl 1373.82075 Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric 27 2015 An exponential integrator for a highly oscillatory Vlasov equation. Zbl 1302.35367 Frénod, Emmanuel; Hirstoaga, Sever A.; Sonnendrücker, Eric 9 2015 A split control variate scheme for PIC simulations with collisions. Zbl 1349.82120 Sonnendrücker, Eric; Wacher, Abigail; Hatzky, Roman; Kleiber, Ralf 7 2015 Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code. Zbl 1329.76382 Franck, Emmanuel; Hölzl, Matthias; Lessig, Alexander; Sonnendrücker, Eric 1 2015 Energy conserving discontinuous Galerkin spectral element method for the Vlasov-Poisson system. Zbl 1354.65205 Madaule, Éric; Restelli, Marco; Sonnendrücker, Eric 14 2014 Noiseless Vlasov-Poisson simulations with linearly transformed particles. Zbl 1349.82138 Campos Pinto, Martin; Sonnendrücker, Eric; Friedman, Alex; Grote, David P.; Lund, Steve M. 10 2014 Finite element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system. Zbl 1288.65140 Back, Aurore; Sonnendrücker, Eric 3 2014 Vlasov on GPU (VOG project). Zbl 1329.65330 Mehrenberger, M.; Steiner, C.; Marradi, L.; Crouseilles, N.; Sonnendrücker, E.; Afeyan, B. 8 2013 An arbitrary high-order spline finite element solver for the time domain Maxwell equations. Zbl 1247.78042 Ratnani, Ahmed; Sonnendrücker, Eric 16 2012 An isogeometric analysis approach for the study of the gyrokinetic quasi-neutrality equation. Zbl 1246.82101 Crouseilles, Nicolas; Ratnani, Ahmed; Sonnendrücker, Eric 4 2012 Spline discrete differential forms. Zbl 1357.41007 Back, Aurore; Sonnendrücker, Eric 3 2012 Guiding-center simulations on curvilinear meshes. Zbl 1242.76156 Braeunig, Jean-Philippe; Crouseilles, Nicolas; Mehrenberger, Michel; Sonnendrücker, Eric 1 2012 High-order dimensionally split Lagrange-remap schemes for ideal magnetohydrodynamics. Zbl 1248.35011 Wolff, Marc; Jaouen, Stéphane; Jourdren, Hervé; Sonnendrücker, Eric 1 2012 High-order low dissipation conforming finite-element discretization of the Maxwell equations. Zbl 1373.78419 Jund, Sébastien; Salmon, Stéphanie; Sonnendrücker, Eric 1 2012 Analysis of a new class of forward semi-Lagrangian schemes for the 1D Vlasov Poisson equations. Zbl 1284.65145 Respaud, Thomas; Sonnendrücker, Eric 9 2011 Solving the Vlasov equation in complex geometries. Zbl 1235.76101 Abiteboul, J.; Latu, G.; Grandgirard, V.; Ratnani, A.; Sonnendrücker, E.; Strugarek, A. 2 2011 A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation. Zbl 1230.78035 Assous, Franck; Segré, J.; Sonnendrücker, E. 1 2011 Particle-in-wavelets scheme for the 1D Vlasov-Poisson equations. Zbl 1301.76063 Nguyen van yen, Romain; Sonnendrücker, Éric; Schneider, Kai; Farge, Marie 1 2011 Conservative semi-Lagrangian schemes for Vlasov equations. Zbl 1303.76103 Crouseilles, Nicolas; Mehrenberger, Michel; Sonnendrücker, Eric 108 2010 Joly-mercier boundary condition for the finite element solution of 3D Maxwell equations. Zbl 1193.78022 Assous, Franck; Sonnendrücker, Eric 3 2010 A forward semi-Lagrangian method for the numerical solution of the Vlasov equation. Zbl 1197.82012 Crouseilles, Nicolas; Respaud, Thomas; Sonnendrücker, Eric 62 2009 Long time simulation of a beam in a periodic focusing channel via a two-scale pic-method. Zbl 1168.82026 Frénod, Emmanuel; Salvarani, Francesco; Sonnendrücker, Eric 23 2009 An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit. Zbl 1203.65217 Belaouar, R.; Crouseilles, N.; Degond, P.; Sonnendrücker, E. 15 2009 A parallel Vlasov solver based on local cubic spline interpolation on patches. Zbl 1171.76044 Crouseilles, Nicolas; Latu, Guillaume; Sonnendrücker, Eric 13 2009 A local time-stepping discontinuous Galerkin algorithm for the MHD system. Zbl 1176.76058 Altmann, Christoph; Belat, Thomas; Gutnic, Michael; Helluy, Philippe; Mathis, Hélène; Sonnendrücker, éric; Angulo, Wilfredo; Hérard, Jean-Marc 7 2009 A new refinement indicator for adaptive parameterization: Application to the estimation of the diffusion coefficient in an elliptic problem. Zbl 1157.65060 Hayek, Mohamed; Ackerer, Philippe; Sonnendrücker, Éric 5 2009 A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system. Zbl 1194.83013 Besse, Nicolas; Latu, Guillaume; Ghizzo, Alain; Sonnendrücker, Eric; Bertrand, Pierre 21 2008 Computing ITG turbulence with a full-\(f\) semi-Lagrangian code. Zbl 1129.35462 Grandgirard, V.; Sarazin, Y.; Garbet, X.; Dif-Pradalier, G.; Ghendrih, Ph.; Crouseilles, N.; Latu, G.; Sonnendrücker, E.; Besse, N.; Bertrand, P. 14 2008 Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. II. Zbl 1130.82036 Crouseilles, N.; Gutnic, M.; Latu, G.; Sonnendrücker, E. 3 2008 Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. I. Zbl 1130.82035 Crouseilles, N.; Gutnic, M.; Latu, G.; Sonnendrücker, E. 1 2008 Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Zbl 1134.35103 Barthelmé, Régine; Ciarlet, Patrick jun.; Sonnendrücker, Eric 10 2007 Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation. Zbl 1159.65016 Crouseilles, Nicolas; Latu, Guillaume; Sonnendrücker, Eric 10 2007 Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena. Zbl 1149.82028 Besse, Nicolas; Mauser, Norbert J.; Sonnendrücker, Eric 6 2007 Wavelet denoising for postprocessing of a 2D particle-in-cell code. Zbl 1206.65267 Gassama, Salimou; Sonnendrücker, Éric; Schneider, Kai; Farge, Marie; Domingues, Margarete O. 5 2007 Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations. Zbl 1127.76034 Frénod, Emmanuel; Mouton, Alexandre; Sonnendrücker, Eric 3 2007 A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation. Zbl 1160.76385 Grandgirard, V.; Brunetti, M.; Bertrand, P.; Besse, N.; Garbet, X.; Ghendrih, P.; Manfredi, G.; Sarazin, Y.; Sauter, O.; Sonnendrücker, E.; Vaclavik, J.; Villard, L. 43 2006 Modeling and numerical simulation of space charge dominated beams in the paraxial approximation. Zbl 1109.78013 Filbet, Francis; Sonnendrücker, Eric 24 2006 Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Zbl 1109.82002 Besse, Nicolas; Segré, Jacques; Sonnendrücker, Eric 4 2005 Vlasov simulations on an adaptive phase-space grid. Zbl 1196.76098 Gutnic, M.; Haefele, M.; Paun, I.; Sonnendrücker, E. 15 2004 Comparison of Eulerian Vlasov solvers. Zbl 1196.82108 Filbet, F.; Sonnendrücker, E. 129 2003 Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. Zbl 1030.82011 Besse, N.; Sonnendrücker, E. 45 2003 Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system. Zbl 1073.82039 Huot, F.; Ghizzo, A.; Bertrand, P.; Sonnendrücker, E.; Coulaud, O. 23 2003 Numerical methods for the Vlasov equation. Zbl 1254.82036 Filbet, F.; Sonnendrücker, E. 10 2003 Global existence for the Vlasov-Darwin system in \(\mathbb R^3\) for small initial data. Zbl 1024.35027 Benachour, Saïd; Filbet, Francis; Laurençot, Philippe; Sonnendrücker, Eric 8 2003 An adaptive numerical method for the Vlasov equation based on a multiresolution analysis. Zbl 1254.82035 Besse, N.; Filbet, F.; Gutnic, M.; Paun, I.; Sonnendrücker, E. 5 2003 Multiple scale considerations for sound generation in low Mach number flow. Zbl 1170.76354 Fortenbach, R.; Frénod, E.; Klein, R.; Munz, C. D.; Sonnendrücker, E. 2 2003 Direct axisymmetric Vlasov simulations of space charge dominated beams. Zbl 1160.76406 Filbet, F.; Lemaire, J.-L.; Sonnendrücker, E. 1 2002 Conservative numerical schemes for the Vlasov equation. Zbl 0998.65138 Filbet, Francis; Sonnendrücker, Eric; Bertrand, Pierre 148 2001 The finite Larmor radius approximation. Zbl 0980.82030 Frénod, Emmanuel; Sonnendrücker, Eric 37 2001 Two-scale expansion of a singularly perturbed convection equation. Zbl 1032.35026 Frénod, E.; Raviart, P.-A.; Sonnendrücker, E. 21 2001 Divergence correction techniques for Maxwell solvers based on a hyperbolic model. Zbl 0970.78010 Munz, C.-D.; Omnes, P.; Schneider, R.; Sonnendrücker, E.; Voß, U. 108 2000 Long time behavior of the two-dimensional Vlasov equation with a strong external magnetic field. Zbl 1012.82021 Frénod, E.; Sonnendrücker, E. 33 2000 “Finite Larmor radius” approximation of the Vlasov equation. (Approximation ”rayon de Larmor fini” pour l’équation de Vlasov.) Zbl 0943.35073 Frénod, Emmanuel; Sonnendrücker, Eric 2 2000 The semi-Lagrangian method for the numerical resolution of the Vlasov equation. Zbl 0934.76073 Sonnendrücker, Eric; Roche, Jean; Bertrand, Pierre; Ghizzo, Alain 155 1999 Les équations de Maxwell quand la conservation de la charge n’est pas satisfaite. (Maxwell’s equations when the charge conservation is not satisfied.) Zbl 0937.78005 Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Voss, Ursula 26 1999 Characterization of the singular part of the solution of Maxwell’s equations in a polyhedral domain. Zbl 0931.35169 Assous, F.; Ciarlet, Patrick jun.; Raviart, P.-A.; Sonnendrücker, E. 15 1999 A finite-volume particle-in-cell method for the numerical treatment of Maxwell-Lorentz equations on boundary-fitted meshes. Zbl 0941.78015 Munz, Claus-Dieter; Schneider, Rudolf; Sonnendrücker, Eric; Stein, Eckhardt; Voss, Ursula; Westermann, Thomas 6 1999 Homogenization of the Vlasov equation and of the Vlasov-Poisson system with a strong external magnetic field. Zbl 0936.82032 Frénod, Emmanuel; Sonnendrücker, Eric 37 1998 Resolution of the Maxwell equations in a domain with reentrant corners. Zbl 0924.65111 Assous, F.; Ciarlet, P. jun.; Sonnendrücker, E. 34 1998 A hierarchy of approximate models for the Maxwell equations. Zbl 0862.35122 Raviart, Pierre-Arnaud; Sonnendrücker, Eric 16 1996 Resolution of Maxwell’s equations in a domain with a reentrant corner. (Résolution des équations de Maxwell dans un domaine avec un coin rentrant.) Zbl 0855.65131 Assous, Franck; Ciarlet, Patrick jun.; Sonnendrücker, Eric 2 1996 A finite element formulation of the Darwin PIC model for use on unstructured grids. Zbl 0834.76052 Sonnendrücker, Eric; Ambrosiano, John J.; Brandon, Scott T. 15 1995 Approximate models for the Maxwell equations. Zbl 0862.65076 Raviart, Pierre-Arnau; Sonnendrücker, Eric 4 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,029 Authors 47 Sonnendrücker, Eric 34 Crouseilles, Nicolas 28 Qiu, Jingmei 21 Filbet, Francis 19 Bostan, Mihai 19 Campos Pinto, Martin 19 Einkemmer, Lukas 18 Mehrenberger, Michel 17 Ciarlet, Patrick jun. 16 Besse, Nicolas 16 Dumbser, Michael 14 Cai, Xiaofeng 13 Assous, Franck 13 Guo, Wei 13 Russo, Giovanni 11 Bertrand, Pierre 11 Christlieb, Andrew J. 11 Dimarco, Giacomo 11 Frénod, Emmanuel 11 Grandgirard, Virginie 11 Latu, Guillaume 10 Chacón, Luis 10 Cheng, Yingda 10 Degond, Pierre 10 Xiong, Tao 9 Munz, Claus-Dieter 9 Navoret, Laurent 8 Boscarino, Sebastiano 8 Carrillo de la Plata, José Antonio 8 Deluzet, Fabrice 8 Helluy, Philippe 8 Kormann, Katharina 8 Lemou, Mohammed 8 Li, Fengyan 7 Boscheri, Walter 7 Buffa, Annalisa 7 Gassner, Gregor J. 7 Ghendrih, Philippe 7 Méhats, Florian 7 Ni, Guoxi 7 Ostermann, Alexander 7 Possanner, Stefan 7 Zhao, Xiaofei 6 Balsara, Dinshaw S. 6 Chen, Guangye 6 Crestetto, Anaïs 6 Després, Bruno 6 Duan, Huoyuan 6 Güçlü, Yaman 6 Hirstoaga, Sever A. 6 Labrunie, Simon 6 Lapenta, Giovanni 6 Li, Yingzhe 6 Loubère, Raphaël 6 Manzini, Gianmarco 6 Narski, Jacek 6 Qiu, Jianxian 6 Shu, Chi-Wang 5 Beilina, Larisa 5 Busto, Saray 5 Chartier, Philippe 5 Cho, Seung-Yeon 5 Delzanno, Gian Luca 5 Eliasson, Bengt 5 Franck, Emmanuel 5 Funaro, Daniele 5 Garbet, Xavier 5 Ghizzo, Alain 5 Goudon, Thierry 5 Kumar, Harish 5 Nicaise, Serge 5 Rodrigues, Luis Miguel 5 Sarazin, Yanick 5 Sun, Yajuan 5 Taitano, William T. 5 Tan, Roger C. E. 5 Wang, Yanli 5 Wang, Yi 5 Yun, Seok-Bae 5 Zhong, Xinghui 4 Amano, Takanobu 4 Beirão da Veiga, Lourenço 4 Brenner, Susanne Cecelia 4 Cao, Yong 4 Charles, Frédérique 4 Cyr, Eric C. 4 Martínez Gamba, Irene 4 Gutnic, Michaël 4 Han-Kwan, Daniel 4 He, Yang 4 Hesthaven, Jan S. 4 Hindenlang, Florian J. 4 Kim, Philsu 4 Liu, Hongtao 4 Mauser, Norbert Julius 4 Negulescu, Claudia 4 Pareschi, Lorenzo 4 Rueda-Ramírez, Andrés Mauricio 4 Sangalli, Giancarlo 4 Segré, Jacques ...and 929 more Authors all top 5 Cited in 117 Serials 228 Journal of Computational Physics 43 Journal of Scientific Computing 41 Computer Physics Communications 26 SIAM Journal on Scientific Computing 17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 16 SIAM Journal on Numerical Analysis 14 Applied Mathematics and Computation 14 Numerische Mathematik 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Communications in Computational Physics 11 Computers and Fluids 11 Computer Methods in Applied Mechanics and Engineering 10 Transport Theory and Statistical Physics 10 Multiscale Modeling & Simulation 10 Kinetic and Related Models 9 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 8 Communications in Nonlinear Science and Numerical Simulation 7 Mathematics of Computation 7 Mathematics and Computers in Simulation 7 Applied Numerical Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Discrete and Continuous Dynamical Systems. Series S 7 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 6 Communications on Applied Mathematics and Computation 5 Journal of Mathematical Physics 5 Annales de l’Institut Henri Poincaré. 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Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 International Journal for Numerical Methods in Engineering 1 Siberian Mathematical Journal 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Physica D 1 Constructive Approximation 1 International Journal of Mathematics 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. 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(English Edition) 1 Journal of Numerical Mathematics ...and 17 more Serials all top 5 Cited in 43 Fields 474 Numerical analysis (65-XX) 352 Partial differential equations (35-XX) 328 Fluid mechanics (76-XX) 258 Statistical mechanics, structure of matter (82-XX) 173 Optics, electromagnetic theory (78-XX) 15 Mechanics of deformable solids (74-XX) 14 Relativity and gravitational theory (83-XX) 12 Astronomy and astrophysics (85-XX) 9 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral equations (45-XX) 8 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Approximations and expansions (41-XX) 7 Geophysics (86-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year