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1

A hierarchy of approximate models for the Maxwell equations

Pierre-Arnaud Raviart, Eric Sonnendrücker

Journal:

Numerische Mathematik

Year:

1996

Language:

english

File:

PDF, 377 KB

english, 1996

2

The Semi-Lagrangian Method for the Numerical Resolution of the Vlasov Equation

Eric Sonnendrücker, Jean Roche, Pierre Bertrand, Alain Ghizzo

Journal:

Journal of Computational Physics

Year:

1999

Language:

english

File:

PDF, 365 KB

english, 1999

3

Approximate models for the Maxwell equations

Pierre-Arnaud Raviart, Eric Sonnendrücker

Journal:

Journal of Computational and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 509 KB

english, 1995

4

Conservative semi-Lagrangian schemes for Vlasov equations

Nicolas Crouseilles, Michel Mehrenberger, Eric Sonnendrücker

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 9.00 MB

english, 2010

5

Global existence for the Vlasov–Darwin system in ℝ3 for small initial data

Saïd Benachour, Francis Filbet, Philippe Laurençot, Eric Sonnendrücker

Journal:

Mathematical Methods in the Applied Sciences

Year:

2003

Language:

english

File:

PDF, 179 KB

english, 2003

6

A parallel Vlasov solver based on local cubic spline interpolation on patches

Nicolas Crouseilles, Guillaume Latu, Eric Sonnendrücker

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 978 KB

english, 2009

7

Energy conserving discontinuous Galerkin spectral element method for the Vlasov–Poisson system

Madaule, Éric, Restelli, Marco, Sonnendrücker, Eric

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 2.35 MB

english, 2014

8

Second order gyrokinetic theory for particle-in-cell codes

Tronko, Natalia, Bottino, Alberto, Sonnendrücker, Eric

Journal:

Physics of Plasmas

Year:

2016

Language:

english

File:

PDF, 2.46 MB

english, 2016

9

On the Vlasov--Maxwell System with a Strong Magnetic Field

Filbet, Francis, Xiong, Tao, Sonnendrücker, Eric

Journal:

SIAM Journal on Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 1.42 MB

english, 2018

10

Conservative Numerical Schemes for the Vlasov Equation

Francis Filbet, Eric Sonnendrücker, Pierre Bertrand

Journal:

Journal of Computational Physics

Year:

2001

Language:

english

File:

PDF, 314 KB

english, 2001

11

A new refinement indicator for adaptive parameterization: Application to the estimation of the diffusion coefficient in an elliptic problem

Mohamed Hayek, Philippe Ackerer, Éric Sonnendrücker

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.96 MB

english, 2009

12

A forward semi-Lagrangian method for the numerical solution of the Vlasov equation

Nicolas Crouseilles, Thomas Respaud, Eric Sonnendrücker

Journal:

Computer Physics Communications

Year:

2009

Language:

english

File:

PDF, 686 KB

english, 2009

13

A wavelet-MRA-based adaptive semi-Lagrangian method for the relativistic Vlasov–Maxwell system

Nicolas Besse, Guillaume Latu, Alain Ghizzo, Eric Sonnendrücker, Pierre Bertrand

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 2.00 MB

english, 2008

14

Joly–Mercier boundary condition for the finite element solution of 3D Maxwell equations

Franck Assous, Eric Sonnendrücker

Journal:

Mathematical and Computer Modelling

Year:

2010

Language:

english

File:

PDF, 957 KB

english, 2010

15

Foreword

Claude Deutsch, Jean-Pierre Didelez, Marie-Madeleine Gombert, Gilles Maynard, Eric Sonnendrücker

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2007

Language:

english

File:

PDF, 77 KB

english, 2007

16

A finite element formulation of the Darwin PIC model for use on unstructured grids

Eric Sonnendrücker, John J. Ambrosiano, Scott T. Brandon

Journal:

Journal of Computational Physics

Year:

1995

Language:

english

File:

PDF, 1.15 MB

english, 1995

17

Beam simulations for IRE and driver—status and strategy

Alex Friedman, David P. Grote, Edward P. Lee, Eric Sonnendrucker

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2001

Language:

english

File:

PDF, 479 KB

english, 2001

18

Simulation of heavy ion beams with a semi-Lagrangian Vlasov solver

Eric Sonnendrucker, John J. Barnard, Alex Friedman, David P. Grote, Steve M. Lund

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2001

Language:

english

File:

PDF, 231 KB

english, 2001

19

Approximation “rayon de Larmor fini” pour l'équation de Vlasov

Emmanuel Frénod, Eric Sonnendrücker

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 149 KB

2000

20

Maxwell's equations when the charge conservation is not satisfied

Claus-Dieter Munz, Rudolf Schneider, Eric Sonnendrücker, Ursula Voss

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

File:

PDF, 438 KB

1999

21

Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations

Emmanuel Frénod, Alexandre Mouton, Eric Sonnendrücker

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 628 KB

english, 2007

22

Analysis of a new class of forward semi-Lagrangian schemes for the 1D Vlasov Poisson equations

Thomas Respaud, Eric Sonnendrücker

Journal:

Numerische Mathematik

Year:

2011

Language:

english

File:

PDF, 525 KB

english, 2011

23

Heavy ion inertial fusion

Claude Deutsch, Marie-Madeleine Gombert, Gilles Maynard, Jean-Pierre Didelez, Eric Sonnendrücker

Journal:

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

Year:

2007

File:

PDF, 175 KB

2007

24

An Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell Equations

Ahmed Ratnani, Eric Sonnendrücker

Journal:

Journal of Scientific Computing

Year:

2012

Language:

english

File:

PDF, 1.25 MB

english, 2012

25

An Isogeometric Analysis approach for the study of the gyrokinetic quasi-neutrality equation

Nicolas Crouseilles, Ahmed Ratnani, Eric Sonnendrücker

Journal:

Journal of Computational Physics

Year:

2012

Language:

english

File:

PDF, 1.29 MB

english, 2012

26

Numerical Approximation of Self-Consistent Vlasov Models for Low-Frequency Electromagnetic Phenomena

Besse, Nicolas, Mauser, Norbert J., Sonnendrücker, Eric

Journal:

International Journal of Applied Mathematics and Computer Science

Year:

2007

Language:

english

File:

PDF, 377 KB

english, 2007

27

The Finite Larmor Radius Approximation

Frénod, Emmanuel, Sonnendrücker, Eric

Journal:

SIAM Journal on Mathematical Analysis

Year:

2001

Language:

english

File:

PDF, 233 KB

english, 2001

28

Finite Element Hodge for spline discrete differential forms. Application to the Vlasov–Poisson system

Back, Aurore, Sonnendrücker, Eric

Journal:

Applied Numerical Mathematics

Year:

2014

Language:

english

File:

PDF, 1.65 MB

english, 2014

29

Noiseless Vlasov–Poisson simulations with linearly transformed particles

Campos Pinto, Martin, Sonnendrücker, Eric, Friedman, Alex, Grote, David P., Lund, Steve M.

Journal:

Journal of Computational Physics

Year:

2014

Language:

english

File:

PDF, 7.20 MB

english, 2014

30

Charge-conserving FEM–PIC schemes on general grids

Pinto, Martin Campos, Jund, Sébastien, Salmon, Stéphanie, Sonnendrücker, Éric

Journal:

Comptes Rendus Mécanique

Year:

2014

Language:

english

File:

PDF, 1.98 MB

english, 2014

31

Charge-conserving grid based methods for the Vlasov–Maxwell equations

Crouseilles, Nicolas, Navaro, Pierre, Sonnendrücker, Éric

Journal:

Comptes Rendus Mécanique

Year:

2014

Language:

english

File:

PDF, 352 KB

english, 2014

32

[IEEE 2010 18th Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP) - Pisa, Italy (2010.02.17-2010.02.19)] 2010 18th Euromicro Conference on Parallel, Distributed and Network-based Processing - Euforia Integrated Visualization

Haefele, Matthieu, Kos, Leon, Navaro, Pierre, Sonnendrücker, Eric

Year:

2010

Language:

english

File:

PDF, 1.19 MB

english, 2010

33

Semi‐Lagrangian Schemes for the Two‐Dimensional Vlasov‐Poisson System on Unstructured Meshes

Besse, Nicolas, Segré, Jacques, Sonnendrücker, Eric

Journal:

Transport Theory and Statistical Physics

Year:

2005

Language:

english

File:

PDF, 376 KB

english, 2005

34

[IEEE 2013 IEEE 40th International Conference on Plasma Sciences (ICOPS) - San Francisco, CA, USA (2013.06.16-2013.06.21)] 2013 Abstracts IEEE International Conference on Plasma Science (ICOPS) - PPPS-2013: The physics of KEEN waves and their interactions

Afeyan, Bedros, Mardirian, Marine, Dohdy, Adila, Sonnendrucker, Eric

Year:

2013

Language:

english

File:

PDF, 96 KB

english, 2013

35

[IEEE 2013 IEEE 40th International Conference on Plasma Sciences (ICOPS) - San Francisco, CA, USA (2013.06.16-2013.06.21)] 2013 Abstracts IEEE International Conference on Plasma Science (ICOPS) - PPPS-2013: High-order numerical methods for KEEN wave Vlasov-Poisson simulations

Mehrenberger, Michel, Crouseilles, Nicolas, Sonnendrucker, Eric, Afeyan, Bedros

Year:

2013

Language:

english

File:

PDF, 105 KB

english, 2013

36

MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION

FILBET, FRANCIS, SONNENDRÜCKER, ERIC

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2006

Language:

english

File:

PDF, 858 KB

english, 2006

37

GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS

BARTHELMÉ, RÉGINE, CIARLET, PATRICK, SONNENDRÜCKER, ERIC

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2007

Language:

english

File:

PDF, 283 KB

english, 2007

38

Simulations of kinetic electrostatic electron nonlinear (KEEN) waves with variable velocity resolution grids and high-order time-splitting

Afeyan, Bedros, Casas, Fernando, Crouseilles, Nicolas, Dodhy, Adila, Faou, Erwan, Mehrenberger, Michel, Sonnendrücker, Eric

Journal:

The European Physical Journal D / Atomic, Molecular, Optical and Plasma Physics

Year:

2014

Language:

english

File:

PDF, 9.27 MB

english, 2014

39

Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code

Latu, Guillaume, Grandgirard, Virginie, Abiteboul, Jérémie, Crouseilles, Nicolas, Dif-Pradalier, Guilhem, Garbet, Xavier, Ghendrih, Philippe, Mehrenberger, Michel, Sarazin, Yanick, Sonnendrücker, Eric

Journal:

The European Physical Journal D / Atomic, Molecular, Optical and Plasma Physics

Year:

2014

Language:

english

File:

PDF, 3.12 MB

english, 2014

40

A split control variate scheme for PIC simulations with collisions

Sonnendrücker, Eric, Wacher, Abigail, Hatzky, Roman, Kleiber, Ralf

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 2.31 MB

english, 2015

41

LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD

FRÉNOD, EMMANUEL, SALVARANI, FRANCESCO, SONNENDRÜCKER, ERIC

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2009

Language:

english

File:

PDF, 384 KB

english, 2009

42

Handling the divergence constraints in Maxwell and Vlasov–Maxwell simulations

Campos Pinto, Martin, Mounier, Marie, Sonnendrücker, Eric

Journal:

Applied Mathematics and Computation

Year:

2015

Language:

english

File:

PDF, 2.33 MB

english, 2015

43

[IEEE 2015 IEEE International Conference on Plasma Sciences (ICOPS) - Antalya, Turkey (2015.5.24-2015.5.28)] 2015 IEEE International Conference on Plasma Sciences (ICOPS) - Field-aligned semi-Lagrangian methods for turbulence simulations of strongly magnetized plasmas

Guclu, Yaman, Sonnendrucker, Eric, Mehrenberger, Michel

Year:

2015

File:

PDF, 76 KB

2015

44

Gauss-compatible Galerkin schemes for time-dependent Maxwell equations

Campos Pinto, Martin, Sonnendrücker, Eric

Journal:

Mathematics of Computation

Year:

2016

Language:

english

File:

PDF, 589 KB

english, 2016

45

Energy conservation and numerical stability for the reduced MHD models of the non-linear JOREK code

Franck, Emmanuel, Hölzl, Matthias, Lessig, Alexander, Sonnendrücker, Eric

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 2.01 MB

english, 2015

46

Evaluation of Detached Eddy Simulations for predicting the flow over periodic hills

Šarić, S., Jakirlić, S., Breuer, M., Jaffrézic, B., Deng, G., Chikhaoui, O., Fröhlich, J., von Terzi, D., Manhart, M., Peller, N., Salmon, Stéphanie, Sonnendrücker, Eric, Dumbser, Michael, Munz, Claus

Journal:

ESAIM Proceedings

Year:

2007

Language:

english

File:

PDF, 767 KB

english, 2007

47

Hermite Spline Interpolation on Patches for Parallelly Solving the Vlasov-Poisson Equation

Crouseilles, Nicolas, Latu, Guillaume, Sonnendrücker, Eric

Journal:

International Journal of Applied Mathematics and Computer Science

Year:

2007

Language:

english

File:

PDF, 954 KB

english, 2007

48

Three Courses on Partial Differential Equations || Lectures on parameter identification

Sonnendrücker, Eric

Year:

2003

Language:

english

File:

PDF, 347 KB

english, 2003

49

Three Courses on Partial Differential Equations || Scattering, spreading, and localization of an acoustic pulse by a random medium

Sonnendrücker, Eric

Year:

2003

Language:

english

File:

PDF, 392 KB

english, 2003

50

Three Courses on Partial Differential Equations || Elastic deformations of membranes and wires

Sonnendrücker, Eric

Year:

2003

Language:

english

File:

PDF, 448 KB

english, 2003