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Sonnendrücker, Eric

Author ID: sonnendrucker.eric Recent zbMATH articles by "Sonnendrücker, Eric"
Published as: Sonnendrücker, Eric; Sonnendrücker, E.; Sonnendrücker, Éric; Sonnendrücker, éric; Sonnendrucker, E.
External Links: ORCID
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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
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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

Publications by Year

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 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
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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. Analyse Non Linéaire
5 SMAI Journal of Computational Mathematics
4 Journal of Statistical Physics
4 Journal of Differential Equations
4 SIAM Journal on Mathematical Analysis
4 International Journal of Applied Mathematics and Computer Science
3 Communications in Mathematical Physics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Quarterly of Applied Mathematics
3 Mathematical and Computer Modelling
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Acta Numerica
3 Inverse Problems in Science and Engineering
2 BIT
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Numerical Methods for Partial Differential Equations
2 Applied Mathematics Letters
2 Asymptotic Analysis
2 Applications of Mathematics
2 Computational and Applied Mathematics
2 International Journal of Computational Fluid Dynamics
2 Annales Henri Poincaré
2 Discrete and Continuous Dynamical Systems. Series B
2 Central European Journal of Mathematics
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Communications in Applied and Industrial Mathematics
2 Journal of Computational Physics: X
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Mathematische Semesterberichte
1 Nonlinearity
1 ZAMP. 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. New Series
1 Journal of Nonlinear Science
1 Continuum Mechanics and Thermodynamics
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Advances in Computational Mathematics
1 Applied Mathematical Finance
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 European Mathematical Society Newsletter
1 Taiwanese Journal of Mathematics
1 Mathematical and Computer Modelling of Dynamical Systems
1 International Journal of Numerical Modelling
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Contemporary Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 International Journal of Modern Physics C
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Numerical Mathematics
...and 17 more Serials
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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)

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