Garching, 26 April 2022

Eric Sonnendrücker
Max-Planck-Institut für Plasmaphysik
and
Zentrum Mathematik, TU München

List of publications

Recent preprints:

  1. W. Barham, P. J. Morrison, E. Sonnendrücker. A mimetic discretization of the macroscopic Maxwell equations in Hamiltonian form. https://arxiv.org/abs/2108.07385
  2. W. Barham, P. J. Morrison, E. Sonnendrücker. A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus. https://arxiv.org/abs/2108.07382
  3. M. Campos Pinto, J. Ameres, K. Kormann, E. Sonnendrücker. On Geometric Fourier Particle In Cell Methods. https://arxiv.org/pdf/2102.02106.

International journals:

  1. M. Campos Pinto, K. Kormann, E. Sonnendrücker. Variational Framework for Structure-Preserving Electromagnetic Particle-In-Cell Methods. J Sci Comput 91, 46 (2022). http://dx.doi.org/10.1007/s10915-022-01781-3, https://arxiv.org/pdf/2101.09247.

    2021

  2. K. Kormann, E. Sonnendrücker. Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov–Maxwell solver. Journal of Computational Physics, 425, 109890, (2021). http://dx.doi.org/10.1016/j.jcp.2020.109890, https://arxiv.org/pdf/1910.04000.pdf
  3. B. Perse, K. Kormann, E. Sonnendrücker, Geometric Particle-in-Cell Simulations of the Vlasov–Maxwell System in Curvilinear Coordinates. SIAM Journal on Scientific Computing, 43(1), B194-B218, (2021). http://dx.doi.org/10.1137/20M1311934, https://arxiv.org/pdf/2002.09386.pdf

    2019

  4. R. Hatzky, R. Kleiber, A. Könies, A. Mishchenko, M. Borchardt, A. Bottino, E. Sonnendrücker. Reduction of the statistical error in electromagnetic gyrokinetic particle-in-cell simulations. Journal of Plasma Physics, 85(1), (2019). http://dx.doi.org/10.1017/S0022377819000096
  5. N. Tronko, A. Bottino, C. Chandre, E. Sonnendrücker, S. Brunner, E.Lanti, N. Ohana, L. Villard. First principles gyrokinetic analysis of electromagnetic plasma instabilities. Plasma Physics and Controlled Fusion, 61(11), 114002, (2019). http://dx.doi.org/10.1088/1361-6587/ab4109
  6. A. Mishchenko, R. Hatzky, E. Sonnendrücker, R. Kleiber, A. Könies. An iterative approach to an arbitrarily short-wavelength solver in global gyrokinetic simulations. Journal of Plasma Physics, 85(1), (2019). http://dx.doi.org/10.1017/S0022377819000138
  7. D. Coulette, E. Franck, P. Helluy, A. Ratnani, E. Sonnendrücker. Implicit time schemes for compressible fluid models based on relaxation methods. Computers & Fluids (2019). http://dx.doi.org/10.1016/j.compfluid.2019.05.009

    2018

  8. Francis Filbet, Tao Xiong, Eric Sonnendrücker. On the Vlasov–Maxwell System with a Strong Magnetic Field. SIAM Journal on Applied Mathematics, 78(2), 1030-1055 (2018). SIAM Journal on Applied Mathematics 78.2 (2018): 1030-1055 http://dx.doi.org/10.1137/17M1112030, https://hal.archives-ouvertes.fr/hal-01437310/file/paper04.pdf
  9. Guillaume Latu, Michel Mehrenberger, Yaman Güçü, Maurizio Ottaviani, Eric Sonnendrücker. Field-aligned interpolation for semi-Lagrangian gyrokinetic simulations. Journal of Scientific Computing, 74(3), 1601-1650 (2018). https://rdcu.be/OdXJ

    2017

  10. Natalia Tronko, Alberto Bottino, Tobias Görler, Eric Sonnendrücker, Daniel Told, Laurent Villard. Verification of Gyrokinetic codes: theoretical background and applications. Physics of Plasmas, 24(5), 056115 (2017). http://dx.doi.org/10.1063/1.4982689, https://arxiv.org/pdf/1703.07582.pdf
  11. Alexey Mishchenko, Alberto Bottino, Roman Hatzky, Eric Sonnendrücker, Ralf Kleiber, Axel Könies. Mitigation of the cancellation problem in the gyrokinetic particle-in-cell simulations of global electromagnetic modes. Physics of Plasmas, 24(8), 081206 (2017). http://dx.doi.org/10.1063/1.4997540
  12. Michael Kraus, Katharina Kormann, Philip J. Morrison, and Eric Sonnendrücker. GEMPIC: Geometric electromagnetic particle-in-cell methods. Journal of Plasma Physics, 83(4), (2017). http://dx.doi.org/10.1017/S002237781700040X
  13. Martin Campos Pinto, and Eric Sonnendrücker. Compatible Maxwell solvers with particles I: conforming and non-conforming 2D schemes with a strong Ampere law. SMAI Journal of Computational Mathematics, Vol. 3, 53-89 (2017). http://smai-jcm.cedram.org/cedram-bin/article/SMAI-JCM_2017__3__53_0.pdf
  14. Martin Campos Pinto, and Eric Sonnendrücker. Compatible Maxwell solvers with particles II: conforming and non-conforming 2D schemes with a strong Faraday law. SMAI Journal of Computational Mathematics, Vol. 3, 91-116 (2017). http://smai-jcm.cedram.org/cedram-bin/article/SMAI-JCM_2017__3__91_0.pdf

    2016

  15. Natalia Tronko, Alberto Bottino, and Eric Sonnendrücker. ”Second order gyrokinetic theory for particle-in-cell codes.” Physics of Plasmas 23.8 (2016): 082505. http://dx.doi.org/10.1063/1.4960039, https://arxiv.org/pdf/1604.03538.pdf
  16. Martin Campos Pinto, and Eric Sonnendrücker. ”Gauss-compatible Galerkin schemes for time-dependent Maxwell equations.” Mathematics of Computation 85.302 (2016): 2651-2685. http://dx.doi.org/10.1090/mcom/3079, https://hal.archives-ouvertes.fr/hal-00969326v2
  17. Claus-Dieter Munz, and Eric Sonnendrücker. ”Maxwell and Magnetohydrodynamic Equations.” Handbook of Numerical Analysis (2016). http://dx.doi.org/10.1016/bs.hna.2016.10.006
  18. Ralf Kleiber, Roman Hatzky, Axel Könies, Alexey Mishchenko, Eric Sonnendrücker, (2016). An explicit large time step particle-in-cell scheme for nonlinear gyrokinetic simulations in the electromagnetic regime. Physics of Plasmas, 23(3), 032501. http://dx.doi.org/10.1063/1.4942788
  19. Adnane Hamiaz, Michel Mehrenberger, Hocine Sellama, Eric Sonnendrücker (2016): The semi-lagrangian method on curvilinear grids. Communications in Applied and Industrial Mathematics, 7(3), 99-137. http://dx.doi.org/10.1515/caim-2016-0024
  20. Martin Campos Pinto, Marie Mounier, and Eric Sonnendrücker. ”Handling the divergence constraints in Maxwell and Vlasov–Maxwell simulations.” Applied Mathematics and Computation 272 (2016): 403-419. http://dx.doi.org/10.1016/j.amc.2015.07.089, https://hal.archives-ouvertes.fr/hal-01167456/file/divcor.pdf
  21. Michel Mehrenberger, Laura Mendoza, Charles Prouveur, Eric Sonnendrücker (2016). Solving the guiding-center model on a regular hexagonal mesh. ESAIM: Proceedings and Surveys, 53, 149-176. http://dx.doi.org/10.1051/proc/201653010
  22. Katharina Kormann, and Eric Sonnendrücker. ”Sparse Grids for the Vlasov–Poisson Equation.” Sparse Grids and Applications-Stuttgart 2014. Springer International Publishing, 2016. 163-190. http://dx.doi.org/10.1007/978-3-319-28262-6_7

    2015

  23. Alberto Bottino, Eric Sonnendrücker (2015). Monte Carlo particle-in-cell methods for the simulation of the Vlasov-Maxwell gyrokinetic equations. Journal of Plasma Physics, 81(5): 435810501.
  24. Eric Sonnendrücker, Abigail Wacher, Roman Hatzky, Ralf Kleiber (2015); A split control variate scheme for PIC simulations with collisions, J. Comput. Phys., 295, pp. 402–419. http://dx.doi.org/10.1016/j.jcp.2015.04.004, http://hdl.handle.net/11858/00-001M-0000-002C-A07E-3
  25. Emmanuel Franck, Matthias Hölzl, Alexander Lessig, Eric Sonnendrücker (2015): Energy Conservation and numerical stability for the reduced MHD models of the non-linear JOREK code. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), 49(5), pp. 1331–1365.
  26. Emmanuel Frenod, Sever A. Hirstoaga and Eric Sonnendrücker (2015): An exponential integrator for a highly oscillatory vlasov equation, Disc. cont. dyn. syst. series S 8 (1), pp. 169–183, http://dx.doi.org/10.3934/dcdss.2015.8.169, http://arxiv.org/abs/1306.3080.
  27. Emmanuel Frenod, Sever A. Hirstoaga, Matthieu Lutz and Eric Sonnendrücker (2015): Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field, Communications in Computational Physics 18 (2), pp. 263–296, http://dx.doi.org/10.3934/dcdss.2015.8.169, http://arxiv.org/abs/1306.3080.

    2014

  28. Martin Campos Pinto, Eric Sonnendrücker, Alex Friedman, David P. Grote, Steve M. Lund (2014): Noiseless Vlasov-Poisson simulations with linearly transformed particles. J. Comput. Phys. 275, pp. 236–256. http://dx.doi.org/10.1016/j.jcp.2014.06.032, http://arxiv.org/abs/1211.5047.
  29. Eric Madaule, Marco Restelli, and Eric Sonnendrücker (2014): Energy conserving discontinuous Galerkin spectral element method for the Vlasov-Poisson system. J. Comput. Phys. 279, pp. 261–188. http://dx.doi.org/10.1016/j.jcp.2014.09.010
  30. Aurore Back, and Eric Sonnendrücker (2014): Finite Element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system. Appl. Numer. Math. 79, pp. 124-136. http://dx.doi.org/10.1016/j.apnum.2014.01.002.
  31. Nicolas Crouseilles, Pierre Navaro, and Eric Sonnendrücker (2014): Charge-conserving grid based methods for the Vlasov–Maxwell equations. Comptes Rendus Mécanique 342 (10-11), pp. 636–646. http://dx.doi.org/10.1016/j.crme.2014.06.012.
  32. Martin Campos Pinto, Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker (2014): Charge conserving FEM-PIC schemes on general grids, Comptes Rendus Mécanique 342 (10-11), pp. 570–582. http://dx.doi.org/10.1016/j.crme.2014.06.011 http://hal.archives-ouvertes.fr/hal-00311429/fr/

    2012

  33. Nicolas Crouseilles, Ahmed Ratnani, Eric Sonnendrücker (2012): An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation, J. Sci. Comput. 231 (2), pp. 373-393. http://dx.doi.org/10.1016/J.JCP.2011.09.004, http://hal.inria.fr/inria-00584672/fr/
  34. Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker (2012): High-order low dissipation conforming finite-element discretization of the Maxwell equations, Commun. in Comput. Phys. 11 (3), pp. 863-892. http://hal.archives-ouvertes.fr/hal-00507758

    2011

  35. Ahmed Ratnani, Eric Sonnendrücker (2011): Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell equations, J. Sci. Comput. 51 (1), pp. 87–106. http://dx.doi.org/10.1007/S10915-011-9500-8, http://hal.inria.fr/hal-00507758/en
  36. Thomas Respaud, Eric Sonnendrücker (2011): Analysis of a new class of Forward Semi-Lagrangian schemes for the 1D Vlasov-Poisson Equations, Numer. Math. 118 (2), pp. 329-366. http://dx.doi.org/10.1007/S00211-010-0351-2, http://hal.archives-ouvertes.fr/hal-00442957/fr/

    2010

  37. Nicolas Crouseilles, Michel Mehrenberger, Eric Sonnendrücker (2010): Conservative semi-Lagrangian schemes for the Vlasov equation, J. Comput. Phys. 229, pp 1927-1953. http://dx.doi.org/10.1016/j.jcp.2009.11.007, http://hal.inria.fr/hal-00363643/en

    2009

  38. Radouin Belaouar, Nicolas Crouseilles, Pierre Degond, Eric Sonnendrücker (2009): An asymptotically stable semi-Lagrangian scheme in the quasi-neutral limit, J. Sci. Comput. 41, pp. 341–365. http://dx.doi.org/10.1007/s10915-009-9302-4, http://hal.archives-ouvertes.fr/hal-00189383/fr/
  39. Nicolas Crouseilles, Thomas Respaud, Eric Sonnendrücker (2009): A forward semi-Lagrangian method for the numerical solution of the Vlasov equation, Comput. Phys. Comm., 180, pp. 1730-1745. http://dx.doi.org/10.1016/j.cpc.2009.04.024, http://hal.inria.fr/inria-00339543/en
  40. Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrücker (2009): Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method. Math. Models Methods Appl. Sci. 19 , no. 2, 175–197. http://dx.doi.org/10.1142/S0218202509003395, http://hal.archives-ouvertes.fr/hal-00180700/en/
  41. Nicolas Crouseilles, Guillaume Latu, Eric Sonnendrücker (2009): A parallel Vlasov solver based on local cubic spline interpolation on patches. J. Comput. Phys. 228, no. 5, 1429–1446. http://dx.doi.org/10.1016/j.jcp.2008.10.041
  42. Mohamed Hayek, Philippe Ackerer, Eric Sonnendrücker (2009): A new refinement indicator for adaptive parameterization: application to the estimation of the diffusion coefficient in an elliptic problem. J. Comput. Appl. Math. 224, no. 1, 307–319. http://dx.doi.org/10.1016/j.cam.2008.05.006

    2008

  43. Nicolas Besse, Guillaume Latu, Alain Ghizzo, Eric Sonnendrücker and Pierre Bertrand (2008): A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov-Maxwell system. J. Comput. Phys. 227, no. 16, 7889–7916. http://dx.doi.org/10.1016/j.jcp.2008.04.031

    2007

  44. E. Frénod, A. Mouton, E. Sonnendrücker (2007): Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations. Numer. Math. 108, no. 2, 263–293. http://dx.doi.org/10.1007/s00211-007-0116-8, http://hal.inria.fr/hal-00173412/en
  45. R. Barthelmé, P. Ciarlet Jr., E. Sonnendrücker (2007): Generalized formulations of Maxwell’s equations for numerical Vlasov-Maxwell simulations. Math. Models Methods Appl. Sci. 17, no. 5, 657–680. http://dx.doi.org/10.1142/S0218202507002066
  46. M. Bostan, E. Sonnendrücker (2007): Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems. M2AN Math. Model. Numer. Anal. 40, no. 6, 1023–1052. http://dx.doi.org/10.1051/m2an:2006039
  47. N. Besse, N.J. Mauser, E. Sonnendrücker (2007): Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena. Int. J. Appl. Math. Comput. Sci. 17, no. 3, 361–374. http://dx.doi.org/10.2478/v10006-007-0030-3
  48. N. Crouseilles, G. Latu, E. Sonnendrücker (2007): Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation. Int. J. Appl. Math. Comput. Sci. 17, no. 3, 335–349. http://dx.doi.org/10.2478/v10006-007-0028-x
  49. V. Grandgirard, Y. Sarazin, P. Angelino, B. Alberto, N. Crouseilles, G. Darmet, G. Dif-Pradalier, X. Garbet, P. Ghendrih, S. Jolliet, G. Latu, L. Villard, E. Sonnendrücker (2007): Global full-f gyrokinetic simulations of plasma turbulence, Plasma physics and controlled fusion, Vol. 49, pp. B173-B182. http://dx.doi.org/10.1088/0741-3335/49/12B/S16

    2006

  50. F. Filbet and E. Sonnendrücker (2006): Modeling and Numerical Simulation of Space Charge Dominated Beams in the Paraxial Approximation. Math. Models Methods Appl. Sci. 16, no. 5, 763–791. http://dx.doi.org/10.1142/S0218202506001340, http://hal.inria.fr/inria-00070460/en
  51. V. Grandgirard, M. Brunetti, P. Bertrand, N. Besse, X. Garbet, P. Ghendrih, G. Manfredi, Y. Sarazin, O. Sauter, E. Sonnendrücker, J. Vaclavik, L. Villard (2006): A drift-kinetic semi-Lagrangian 4D code for ion turbulence simulation J. Comput. Phys. 217 (2), 395–423. http://dx.doi.org/10.1016/j.jcp.2006.01.023

    2005

  52. N. Besse, J. Segré and E. Sonnendrücker (2005): Semi-Lagrangian schemes for the two-dimensional Vlasov-Poisson system on unstructured meshes. Trans. Th. Stat. Phys. 34 (3-5), p. 311-332. http://dx.doi.org/10.1080/00411450500274592

    2004

  53. E. Sonnendrücker, F. Filbet, A. Friedman, E. Oudet and J.-L. Vay (2004): Vlasov simulations of beams with a moving grid, Computer Physics Communications 164 (1-3), p. 390-395 . http://dx.doi.org/10.1016/j.cpc.2004.06.077, http://hal.archives-ouvertes.fr/hal-00129695/fr/
  54. M. Gutnic, M. Haefele, I. Paun and E. Sonnendrücker (2004): Vlasov simulations on an adaptive phase-space grid. Computer Physics Communications 164 (1-3), p. 214-219. http://dx.doi.org/10.1016/j.cpc.2004.06.073

    2003

  55. N. Besse, E. Sonnendrücker (2003): Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space. J. Comput. Phys. 191 (2), 341–376. http://dx.doi.org/10.1016/S0021-9991(03)00318-8
  56. F. Huot, A. Ghizzo, P. Bertrand, E. Sonnendrücker, O. Coulaud (2003): Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system. J. Comput. Phys. 185 (2), 512–531. http://dx.doi.org/10.1016/S0021-9991(02)00079-7
  57. S. Benachour, F. Filbet, Ph. Laurençot, E. Sonnendrücker (2003): Global existence for the Vlasov-Darwin system in R3 for small initial data. Math. Methods Appl. Sci. 26, 4, 297–319. http://dx.doi.org/10.1002/mma.355
  58. F. Filbet, E. Sonnendrücker (2003): Comparison of Eulerian Vlasov Solvers. Comp. Phys. Comm. 150, no. 3 pp. 247-266 http://dx.doi.org/10.1016/S0010-4655(02)00694-X

    2001

  59. F. Filbet, E. Sonnendrücker, P. Bertrand (2001): Conservative Numerical Schemes for the Vlasov Equation, J. Comput. Phys. 172, no. 1, 1–22. http://dx.doi.org/10.1006/jcph.2001.6818
  60. E. Frénod, P.-A. Raviart, E. Sonnendrücker (2001): Two-scale expansion of a singularly perturbed convection equation, J. Math. Pures Appl. 80, no. 8, 815–843. http://dx.doi.org/10.1016/S0021-7824(01)01215-6
  61. E. Frénod, E. Sonnendrücker (2001): The Finite Larmor Radius Approximation, SIAM J. Math. Anal. 32, no. 6, 1227–1247. http://dx.doi.org/10.1137/S0036141099364243

    2000

  62. E. Frénod et E. Sonnendrücker (2000): Long Time Behavior of The Two-Dimensional Vlasov Equation with a Strong External Magnetic Field, Math. Models Methods Appl. Sci. 10, no. 4, 539–553. http://dx.doi.org/10.1142/S021820250000029X
  63. C.-D. Munz, P. Omnes, R. Schneider, E. Sonnendrücker, U. Voss (2000): Divergence correction techniques for Maxwell solvers based on a hyperbolic model, J. Comput. Phys. 161, no. 2, 484–511. http://dx.doi.org/10.1006/jcph.2000.6507

    1999

  64. C.-D. Munz, R. Schneider, E. Sonnendrücker, U. Voss (1999): Maxwell’s equations when the charge conservation is not satisfied, C. R. Acad. Sci. Paris Sér. I Math. 328, no. 5, 431–436. http://dx.doi.org/10.1016/S0764-4442(99)80185-2
  65. E. Sonnendrücker, J. Roche, P. Bertrand, A. Ghizzo (1999): The Semi-Lagrangian Method for the Numerical Resolution of Vlasov Equations, J. Comput. Phys 149, 201–220. http://dx.doi.org/10.1006/jcph.1998.6148
  66. F. Assous, P. Ciarlet Jr., P.-A. Raviart et E. Sonnendrücker (1999): Characterization of the Singular Part of the Solution of Maxwell’s Equations in a Polyhedral Domain, Math. Meth. Appl. Sci. 22, 485–499. http://dx.doi.org/10.1002/(SICI)1099-1476(199904)22:6<485::AID-MMA46>3.0.CO;2-E
  67. C.-D. Munz, R. Schneider, E. Sonnendrücker, E. Stein, U. Voss, T. Westermann (1999): A Finite-Volume Particle-In-Cell Method for the Numerical Treatment of Maxwell-Lorentz Equations on Boundary Fitted Meshes, Int. J. Numer. Meth. Eng. 44, 461–487. http://dx.doi.org/10.1002/(SICI)1097-0207(19990210)44:4%3C461::AID-NME510%3E3.0.CO;2-%23
  68. O. Coulaud, E. Sonnendrücker, E. Dillon, P. Bertrand, A. Ghizzo (1999): Parallelisation of Semi-Lagrangian Vlasov Codes, J. Plasma Phys. 61, 435–448.

    1998

  69. E. Frénod et E. Sonnendrücker (1998): Homogenization of the Vlasov Equation and of the Vlasov-Poisson System with a Strong External Magnetic Field, Asymptotic Analysis 18 (3-4), 193-213.
  70. F. Assous, P. Ciarlet Jr, E. Sonnendrücker (1998): Resolution of the Maxwell equations in a domain with reentrant corners, Modelisation Math. Anal. Numer. 32 (3), 359–389.

    1997

  71. P. Ciarlet Jr, E. Sonnendrücker (1997): A Decomposition of the Electromagnetic Field. Application to the Darwin Model, Math. Models and Methods Appl. Sci. 7 (8), 1085–1120. http://dx.doi.org/10.1142/S0218202597000542

    1996

  72. P.-A. Raviart, E. Sonnendrücker (1996): A Hierarchy of Approximate Models for the Maxwell Equations, Numer. Math. 73, p. 329–372. http://dx.doi.org/10.1007/s002110050196
  73. F. Assous, P. Ciarlet Jr, E. Sonnendrücker (1996): Résolution des équations de Maxwell dans un domaine avec un coin rentrant, C. R. Acad. Sci. Paris, t. 323, Série I, p. 203–208.

    1995

  74. E. Sonnendrücker, J.J. Ambrosiano, S.T. Brandon (1995): A finite element formulation of the Darwin PIC model for use on unstructured grids, J. Comput. Phys. 121, p. 81–297. http://dx.doi.org/10.1016/S0021-9991(95)90119-1
  75. P.-A. Raviart, E. Sonnendrücker (1995): Approximate Models for the Maxwell Equations J. Comput. Appl. Math. 63, p. 69-81. http://dx.doi.org/10.1016/0377-0427(95)00058-5
  76. P.-A. Raviart, E. Sonnendrücker (1995): Modèles quasistatique et de Darwin pour les équations de Maxwell, C. R. Acad. Sci. Paris, t. 320, Série I, 307–313.

Refereed articles in conference proceedings:

  1. Afeyan, B., Casas, F., Crouseilles, N., Dodhy, A., Faou, E., Mehrenberger, M., Sonnendrücker, E. (2014): Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Two-Grid, Variable Velocity Resolution and High-Order Time-Splitting. The European Physical Journal D 68.10, 1–21. http://dx.doi.org/10.1140/epjd/e2014-50212-6, https://hal.archives-ouvertes.fr/hal-00977344/.
  2. M. Mehrenberger, C. Steiner, L. Marradi, N. Crouseilles, E. Sonnendrücker and B. Afeyan (2013): Vlasov on GPU, ESAIM: Proc. 43, 37–58. http://dx.doi.org/10.1051/proc/201343003.
  3. J.-P. Braeunig, N.Crouseilles, M. Mehrenberger, E. Sonnendrücker, (2012): Guiding-center simulations on curvilinear meshes. Discrete and Continuous Dynamical Systems Series S, 5 (2), pp. 271–282. doi:10.3934/dcdss.2012.5.271.
  4. A. Ratnani and E. Sonnendr¨c                ker 2012: Isogeometric analysis in reduced magnetohydrodynamics. Comput. Sci. Disc. 5 014007 http://dx.doi.org/doi:10.1088/1749-4699/5/1/014007.
  5. N. Crouseilles, M. Gutnic, G. Latu, E. Sonnendrücker (2008): Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. I. Commun. Nonlinear Sci. Numer. Simul. 13, no. 1, 88–93. http://dx.doi.org/10.1016/j.cnsns.2007.03.010
  6. N. Crouseilles, M. Gutnic, G. Latu, E. Sonnendrücker (2008): Comparison of two Eulerian solvers for the four-dimensional Vlasov equation. II. Commun. Nonlinear Sci. Numer. Simul. 13, no. 1, 94–99. http://dx.doi.org/10.1016/j.cnsns.2007.03.017
  7. V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-Pradalier, P. Ghendrih, N. Crouseilles, G. Latu, E. Sonnendrücker, N. Besse (2008): Computing ITG turbulence with a full-f semi-Lagrangian code, Communications in Nonlinear Science and Numerical Simulation, pp 81-87, Vol. 13(1). http://dx.doi.org/10.1016/j.cnsns.2007.05.016
  8. N. Crouseilles, G. Latu, E. Sonnendrücker (2007): Hermite splines interpolation on patches for a parallel Vlasov beam simulations, Nuclear instruments and Methods in Physics Research A., pp 129-132, Vol. 557(1). http://dx.doi.org/10.1016/j.nima.2007.02.044
  9. Guillaume Latu, Nicolas Crouseilles, Virginie Grandgirard, Eric Sonnendrücker (2007): Gyrokinetic Semi-Lagrangian Parallel Simulation using a Hybrid OpenMP/MPI Programming, Recent Advances in PVM an MPI, Springer, LNCS, pp 356-364, Vol. 4757. http://dx.doi.org/10.1007/978-3-540-75416-9_48
  10. Hyam Abboud, Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker, Hamdi Zorgati (2007): Two-scale simulation of Maxwell’s equations, ESAIM: PROC Volume 16 CEMRACS 2005 - Computational Aeroacoustics and Computational Fluid Dynamics in Turbulent Flows, 211 – 223. http://dx.doi.org/10.1051/proc:2007001, http://hal.inria.fr/hal-00139181/en
  11. N. Crouseilles, G. Latu, J.-L. Lemaire, E. Sonnendrücker (2006): Semi-Lagrangian Vlasov codes for the transport of intense particle beams in the 4D transverse phase-space, Beam Dynamics Newsletter, Num. 41. http://www-bd.fnal.gov/icfabd/Newsletter41.pdf
  12. V. Grandgirard, Y. Sarazin, X. Garbet, G. Dif-Pradalier, P. Ghendrih, N. Crouseilles, G. Latu, E. Sonnendrücker, N. Besse, P. Bertrand (2006): GYSELA, a full-f global gyrokinetic Semi-Lagrangian code for ITG turbulence simulations, Proceedings of Theory of Fusion Plasmas, Varenna. http://dx.doi.org/10.1063/1.2404543
  13. N. Besse, F. Filbet, M. Gutnic, I. Paun, E. Sonnendrücker (2003): An adaptive numerical method for the Vlasov equation based on a multi-resolution analysis, in Numerical Mathematics and Advanced Applications, ENUMATH 2001, F. Brezzi, A. Buffa, S. Corsaro, A. Murli (Eds), (Springer, 2003).
  14. F. Filbet, E. Sonnendrücker (2003): Numerical methods for the Vlasov equation, in Numerical Mathematics and Advanced Applications, ENUMATH 2001, F. Brezzi, A. Buffa, S. Corsaro, A. Murli (Eds), (Springer, 2003).
  15. F. Filbet, E. Sonnendrücker, J.-L. Lemaire (2002): Direct Axisymmetric Vlasov Simulations of space charged dominated beams. Lecture Notes in Computer Sciences, ICCS 2002, part 3, 305–314. http://dx.doi.org/10.1007/3-540-47789-6_32
  16. F. Kemm, C.-D. Munz, R. Schneider, E. Sonnendrücker (2001): Divergence corrections in the numerical simulation of electromagnetic wave propagation. Hyperbolic problems: theory, numerics, applications, Vol. I, II (Magdeburg, 2000), 603–612, Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
  17. F. Assous, P. Ciarlet, Jr., P.-A.Raviart, J. Segré, E. Sonnendrücker (1998): The solution of Maxwell’s equations in a non-convex polyhedron. I. Saddle-point approach and singularities. Mathematical and numerical aspects of wave propagation (Golden, CO, 1998), 364–368, SIAM, Philadelphia, PA, 1998
  18. E. Sonnendrücker, A. Friedman, D.P. Grote (1999): Progress towards simulating heavy ion beams for Inertial Fusion Energy based on 1) A Darwin model field solver, and 2) A semi-Lagrangian Vlasov solver. Proceedings of the 1999 Particle Accelerator Conference, (Editors: A. Luccio, W. MacKay)
  19. C.-D. Munz, S. Roller, E. Sonnendrücker (1999): A numerical approach to multiple scale problems based on asymptotic analysis. Numerical treatment of multi-scale problems (Kiel, 1997), 134–145, Notes Numer. Fluid Mech., 70, Vieweg, Braunschweig, 1999.

Internal reports:

  1. Jean-Philippe Braeunig, Nicolas Crouseilles, Virginie Grandgirard, Guillaume Latu, Michel Mehrenberger, Eric Sonnendrücker (2009): Some numerical aspects of the conservative PSM scheme in a 4D drift-kinetic code, http://hal.archives-ouvertes.fr/inria-00435203/fr/
  2. E. Sonnendrücker, A. Friedman, E.P. Lee: A model for incorporating module impedance and multi-beam effects into WARP, HIFAN Note 1001, Lawrence Berkeley National Laboratory.
  3. E. Sonnendrücker, A. Friedman, D.P. Grote, S.M. Lund: Simulation of charged particle beams using a semi-Lagrangian Vlasov method, HIFAN Note 999, Lawrence Berkeley National Laboratory.
  4. E. Sonnendrücker, J.J. Barnard, A. Friedman, S.M. Lund: Vlasov simulations of halo formation in mismatched beams, HIFAN Note 1002, Lawrence Berkeley National Laboratory.

Edition of books:

  1. Three Courses on Partial Differential Equations, Series: IRMA Lectures in Mathematics and Theoretical Physics, de Gruyter, Berlin 2003.
  2. Numerical methods for hyperbolic and kinetic equations, European Mathematical Society, 2005. Co-édition avec S. Cordier, T. Goudon et M. Gutnic.