Hamiltonian splitting for the Vlasov–Maxwell equations
N Crouseilles, L Einkemmer, E Faou - Journal of Computational Physics, 2015 - Elsevier
A new splitting is proposed for solving the Vlasov–Maxwell system. This splitting is based on
a decomposition of the Hamiltonian of the Vlasov–Maxwell system and allows for the …
a decomposition of the Hamiltonian of the Vlasov–Maxwell system and allows for the …
Fast, low-memory numerical methods for radiative transfer via hp-adaptive mesh refinement
S Du, SN Stechmann - Journal of Computational Physics, 2023 - Elsevier
Numerical solutions to the radiative transfer equation are typically computationally
expensive. The large expense arises because the solution has a high dimensionality with …
expensive. The large expense arises because the solution has a high dimensionality with …
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
L Einkemmer - Journal of Computational Physics, 2019 - Elsevier
The purpose of the present paper is to compare two semi-Lagrangian methods in the context
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations
N Crouseilles, L Einkemmer, J Massot - Journal of Computational Physics, 2020 - Elsevier
The efficient numerical solution of many kinetic models in plasma physics is impeded by the
stiffness of these systems. Exponential integrators are attractive in this context as they …
stiffness of these systems. Exponential integrators are attractive in this context as they …
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics
In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …
Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers
L Einkemmer, A Moriggl - The International Journal of High …, 2023 - journals.sagepub.com
Running kinetic plasma physics simulations using grid-based solvers is very demanding
both in terms of memory as well as computational cost. This is primarily due to the up to six …
both in terms of memory as well as computational cost. This is primarily due to the up to six …
Semi-Lagrangian Vlasov simulation on GPUs
L Einkemmer - Computer Physics Communications, 2020 - Elsevier
In this paper, our goal is to efficiently solve the Vlasov equation on GPUs. A semi-
Lagrangian discontinuous Galerkin scheme is used for the discretization. Such kinetic …
Lagrangian discontinuous Galerkin scheme is used for the discretization. Such kinetic …
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator
This paper develops energy-preserving discontinuous Galerkin (DG) methods for the Vlasov-
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code
L Einkemmer - Computer Physics Communications, 2016 - Elsevier
The recently developed semi-Lagrangian discontinuous Galerkin approach is used to
discretize hyperbolic partial differential equations (usually first order equations). Since these …
discretize hyperbolic partial differential equations (usually first order equations). Since these …
A characteristic mapping method for Vlasov-Poisson with extreme resolution properties
We propose an efficient semi-Lagrangian characteristic mapping method for solving the
one+ one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The …
one+ one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The …