Lehrstuhl für Numerische Methoden der Plasmaphysik

Publikationen

Publikationen pro Jahr 1998 2014 2015 2016 2017 2023 2024 2024

• 26 Artikel
• 2 Kurzer Abriss
• 1 Kapitel
• 1 Konferenzbeitrag
• 1 Mehr
  • 1 Leitartikel

Publikationen pro Jahr

Publikationen pro Jahr

Suchergebnisse

• 2024

  A DUAL GRID GEOMETRIC ELECTROMAGNETIC PARTICLE IN CELL METHOD

  Kormann, K. & Sonnendrücker, E., 2024, in: SIAM Journal on Scientific Computing. 46, 5, S. B621-B646

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  • Particle-in-cell Method 100%
  • Particle-in-cell 100%
  • Dual Grid 100%
  • Electromagnetic Particle-in-cell (EM-PIC) 100%
  • Discretization 100%

• A self-consistent Hamiltonian model of the ponderomotive force and its structure preserving discretization

  Barham, W., Güçlü, Y., Morrison, P. J. & Sonnendrücker, E., 1 Jan. 2024, in: Physics of Plasmas. 31, 1, 013905.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Ponderomotive Force 100%
  • Structure-preserving Discretization 100%
  • Hamiltonian Model 100%
  • Discretization 100%
  • Oscillatory 66%

• Canonical variables based numerical schemes for hybrid plasma models with kinetic ions and massless electrons

  Li, Y., Holderied, F., Possanner, S. & Sonnendrücker, E., 15 Mai 2024, in: Journal of Computational Physics. 505, 112916.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Numerical Scheme 100%
  • Kinetic Ions 100%
  • Massless Particles 100%
  • Canonical Variables 100%
  • Hybrid Plasma Model 100%

• Geometric Particle-In-Cell discretizations of a plasma hybrid model with kinetic ions and mass-less fluid electrons

  Li, Y., Campos Pinto, M., Holderied, F., Possanner, S. & Sonnendrücker, E., 1 Feb. 2024, in: Journal of Computational Physics. 498, 112671.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Hybrid Model 100%
  • Particle-in-cell 100%
  • Quasi-neutrality 100%
  • Kinetic Ions 100%
  • Discretization 100%
  2 Zitate (Scopus)

• On Variational Fourier Particle Methods

  Campos Pinto, M., Ameres, J., Kormann, K. & Sonnendrücker, E., Dez. 2024, in: Journal of Scientific Computing. 101, 3, 68.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Fourier 100%
  • Variational 100%
  • Particle-in-cell Method 100%
  • Particle Method 100%
  • Discrete Fourier Transform 100%
• 2023

  A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models

  Barham, W., Morrison, P. J. & Sonnendrücker, E., Juni 2023, in: Fundamental Plasma Physics. 5, 100016.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Hamiltonian Formulation 100%
  • Geometric Formulation 100%
  • Kinetic Theory 100%
  • Vlasov-Maxwell 100%
  • Hamiltonian Structure 66%

• A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations

  Fambri, F., Zampa, E., Busto, S., Río-Martín, L., Hindenlang, F., Sonnendrücker, E. & Dumbser, M., 15 Nov. 2023, in: Journal of Computational Physics. 493, 112493.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Magnetic Field 100%
  • Semi-implicit 100%
  • Well-balancing 100%
  • Finite Element Scheme 100%
  • Hybrid Finite Volume 100%
  5 Zitate (Scopus)

• Solver comparison for Poisson-like equations on tokamak geometries

  Bourne, E., Leleux, P., Kormann, K., Kruse, C., Grandgirard, V., Güçlü, Y., Kühn, M. J., Rüde, U., Sonnendrücker, E. & Zoni, E., 1 Sept. 2023, in: Journal of Computational Physics. 488, 112249.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Poisson Equation 100%
  • Tokamak 100%
  • Embedded Boundary 100%
  • Solver Comparison 100%
  • Multigrid Scheme 100%
  1 Zitat (Scopus)
• 2022

  Variational Framework for Structure-Preserving Electromagnetic Particle-in-Cell Methods

  Campos Pinto, M., Kormann, K. & Sonnendrücker, E., Mai 2022, in: Journal of Scientific Computing. 91, 2, 46.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Structure Preservation 100%
  • Particle Field 100%
  • Variational Framework 100%
  • Particle-in-cell Method 100%
  • Electromagnetic Particle-in-cell (EM-PIC) 100%
  15 Zitate (Scopus)
• 2021

  Energy-conserving time propagation for a structure-preserving particle-in-cell Vlasov–Maxwell solver

  Kormann, K. & Sonnendrücker, E., 15 Jan. 2021, in: Journal of Computational Physics. 425, 109890.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Structure Preservation 100%
  • Energy Conservation 100%
  • Particle-in-cell 100%
  • Time Propagation 100%
  • Time Discretization 100%
  27 Zitate (Scopus)

• Geometric particle-in-cell simulations of the vlasov-maxwell system in curvilinear coordinates

  PERSE, B., KORMANN, K. & SONNENDRÜCKER, E., 2021, in: SIAM Journal on Scientific Computing. 43, 1, S. B194-B218

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Vlasov-Maxwell Equations 100%
  • Vlasov-Maxwell System 100%
  • Particle-in-cell Simulation 100%
  • Curvilinear Coordinates 100%
  • Vlasov Maxwell System 100%
  14 Zitate (Scopus)
• 2019

  First principles gyrokinetic analysis of electromagnetic plasma instabilities

  Tronko, N., Bottino, A., Chandre, C., Sonnendrücker, E., Brunner, S., Lanti, E., Ohana, N. & Villard, L., 25 Sept. 2019, in: Plasma Physics and Controlled Fusion. 61, 11, 114002.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Gyrokinetics 100%
  • First-principles 100%
  • Tokamak 100%
  • Gyrokinetic Theory 100%
  • Noether's Theorem 100%
  1 Zitat (Scopus)

• Implicit time schemes for compressible fluid models based on relaxation methods

  Coulette, D., Franck, E., Helluy, P., Ratnani, A. & Sonnendrücker, E., 30 Juni 2019, in: Computers and Fluids. 188, S. 70-85 16 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Relaxation Method 100%
  • Fluid Model 100%
  • Implicit Time Scheme 100%
  • Compressible Fluid 100%
  • Parallelization 50%
  5 Zitate (Scopus)
• 2018

  On the vlasov–maxwell system with a strong magnetic field^*

  Filbet, F., Xiong, T. & Sonnendrücker, E., 2018, in: SIAM Journal on Applied Mathematics. 78, 2, S. 1030-1055 26 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  • Numerical Experiments 100%
  • Two Dimensional 100%
  • Magnetic Field 100%
  • Electromagnetic Field 100%
  • Method Validation 100%
  10 Zitate (Scopus)
• 2017

  Compatible Maxwell solvers with particles I: conforming and non-conforming 2D schemes with a strong Ampere law

  Pinto, M. C. & Sonnendrücker, E., 2017, in: SMAI Journal of Computational Mathematics. 3, S. 53-89 37 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Stability Properties 100%
  • Current Source 100%
  • Long-term Stability 100%
  • Maxwell 100%
  • Maxwell Solver 100%
  8 Zitate (Scopus)

• Compatible Maxwell solvers with particles II: conforming and non-conforming 2D schemes with a strong Faraday law

  Pinto, M. C. & Sonnendrücker, E., 2017, in: SMAI Journal of Computational Mathematics. 3, S. 91-116 26 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Stability Properties 100%
  • Long-term Stability 100%
  • Maxwell Solver 100%
  • Nonconforming 100%
  • Faraday's Law 100%
  3 Zitate (Scopus)

• GEMPIC: Geometric electromagnetic particle-in-cell methods

  Kraus, M., Kormann, K., Morrison, P. J. & Sonnendrücker, E., 1 Aug. 2017, in: Journal of Plasma Physics. 83, 4, 905830401.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Finite Element 100%
  • Semi-discrete 100%
  • Particle-in-cell Method 100%
  • Electromagnetic Particle-in-cell (EM-PIC) 100%
  • Finite Element Method 100%
  113 Zitate (Scopus)

• Maxwell and Magnetohydrodynamic Equations

  Munz, C. D. & Sonnendrücker, E., 2017, Handbook of Numerical Analysis. Elsevier B.V., S. 385-401 17 S. (Handbook of Numerical Analysis; Band 18).

  Publikation: Beitrag in Buch/Bericht/Konferenzband › Kapitel › Begutachtung

  • Maxwell's Equations 100%
  • Unstructured Grid 100%
  • Magnetohydrodynamic Equations 100%
  • Time Domain 100%
  • Discontinuous Galerkin 100%
  1 Zitat (Scopus)
• 2016

  Gauss-compatible Galerkin schemes for time-dependent Maxwell equations

  Pinto, M. C. & Sonnenderücker, E., 2016, in: Mathematics of Computation. 85, 302, S. 2651-2685 35 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Gauss 100%
  • Discontinuous Galerkin Method 100%
  • Galerkin Scheme 100%
  • Nonconforming Galerkin Method 100%
  • Time-dependent Maxwell Equations 100%
  16 Zitate (Scopus)

• Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations

  Campos Pinto, M., Mounier, M. & Sonnendrücker, E., 1 Jan. 2016, in: Applied Mathematics and Computation. 272, S. 403-419 17 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Correction Method 100%
  • Maxwell 100%
  • Vlasov-Maxwell 100%
  • Maxwell Simulation 100%
  • Divergence Constraint 100%
  14 Zitate (Scopus)

• Sparse grids for the vlasov–poisson equation

  Kormann, K. & Sonnendrücker, E., 2016, Sparse Grids and Applications, 2014. Pflüger, D. & Garcke, J. (Hrsg.). Springer Verlag, S. 163-190 28 S. (Lecture Notes in Computational Science and Engineering; Band 109).

  Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

  • Grid Point 100%
  • Gaussians 100%
  • Phase Space 100%
  • Advection 100%
  • Sparse Grids 100%
  18 Zitate (Scopus)

• The semi-Lagrangian method on curvilinear grids

  Hamiaz, A., Mehrenberger, M., Sellama, H. & Sonnendrücker, E., 1 Sept. 2016, in: Communications in Applied and Industrial Mathematics. 7, 3, S. 96-134 39 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • First-order 100%
  • Lagrangian Method 100%
  • Mass Conservation 100%
  • Cubic Spline 100%
  • Curvilinear Grids 100%
  2 Zitate (Scopus)
• 2015

  A split control variate scheme for PIC simulations with collisions

  Sonnendrücker, E., Wacher, A., Hatzky, R. & Kleiber, R., 5 Aug. 2015, in: Journal of Computational Physics. 295, S. 402-419 18 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Control Variates 100%
  • Particle-in-cell Simulation 100%
  • Split Control 100%
  • Monte Carlo Simulation 100%
  • Variance Reduction 100%
  16 Zitate (Scopus)

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

  Franck, E., Hölzl, M., Lessig, A. & Sonnendrücker, E., 1 Sept. 2015, in: Mathematical Modelling and Numerical Analysis. 49, 5, S. 1331-1365 35 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Energy Conservation 100%
  • Numerical Stability 100%
  • JOREK 100%
  • Reduced MHD Model 100%
  • Nonlinear 100%
  20 Zitate (Scopus)

• Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field

  Frénod, E., Hirstoaga, S. A., Lutz, M. & Sonnendrücker, E., 30 Juli 2015, in: Communications in Computational Physics. 18, 2, S. 263-296 34 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Exponential Integrators 100%
  • Vlasov-Poisson System 100%
  • Strong Magnetic Field 100%
  • Long-time Behavior 100%
  • Time Step 100%
  29 Zitate (Scopus)
• 2014

  Charge-conserving FEM-PIC schemes on general grids

  Pinto, M. C., Jund, S., Salmon, S. & Sonnendrücker, É., 2014, in: Comptes Rendus - Mecanique. 342, 10-11, S. 570-582 13 S.

  Publikation: Beitrag in Fachzeitschrift › Kurzer Abriss › Begutachtung

  Open Access

  • Finite Element 100%
  • Arbitrary Degree 100%
  • General Grids 100%
  • Finite Element Method 100%
  • Finite Element Analysis 100%
  45 Zitate (Scopus)

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

  Crouseilles, N., Navaro, P. & Sonnendrücker, É., 2014, in: Comptes Rendus - Mecanique. 342, 10-11, S. 636-646 11 S.

  Publikation: Beitrag in Fachzeitschrift › Kurzer Abriss › Begutachtung

  Open Access

  • Grid-based Method 100%
  • Vlasov-Maxwell Equations 100%
  • Maxwell's Equation 100%
  • Configuration Space 50%
  • Numerical Scheme 50%
  11 Zitate (Scopus)

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

  Madaule, É., Restelli, M. & Sonnendrücker, E., 5 Dez. 2014, in: Journal of Computational Physics. 279, S. 261-288 28 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Energy Conservation 100%
  • Vlasov-Poisson System 100%
  • Discontinuous Galerkin Spectral Element Method 100%
  • Element Method 100%
  • Discontinuous Galerkin 100%
  21 Zitate (Scopus)

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

  Afeyan, B., Casas, F., Crouseilles, N., Dodhy, A., Faou, E., Mehrenberger, M. & Sonnendrücker, E., 1 Okt. 2014, in: European Physical Journal D. 68, 10, 295.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • High-order 100%
  • Time Splitting 100%
  • Variable Velocity 100%
  • Nonlinear Waves 100%
  • Velocity Resolution 100%
  12 Zitate (Scopus)
• 2012

  Preface

  Guillard, H. & Sonnendrücker, E., Apr. 2012, in: Discrete and Continuous Dynamical Systems - Series S. 5, 2, S. i

  Publikation: Beitrag in Fachzeitschrift › Leitartikel

  Open Access
• 1998

  Resolution of the Maxwell equations in a domain with reentrant corners

  Assous, F., Ciarlet, P. & Sonnendrücker, E., 1998, in: Mathematical Modelling and Numerical Analysis. 32, 3, S. 359-389 31 S.

  Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

  Open Access

  • Maxwell's Equations 100%
  • Reentrant Corner 100%
  • Maxwell's Equation 100%
  • Singular Part 66%
  • Singular Component 50%
  65 Zitate (Scopus)