31 citations · 34 across the 7 of their papers we have counts for
9 papers
On Geometric Fourier Particle In Cell Methods
Martin Campos Pinto, Jakob Ameres, Katharina Kormann +1
In this article we describe a unifying framework for variational electromagnetic particle schemes of spectral type, and we propose a novel spectral Particle-In-Cell (PIC) scheme th…
Variational Framework for Structure-Preserving Electromagnetic Particle-In-Cell Methods
Martin Campos Pinto, Katharina Kormann, Eric Sonnendrücker
In this article we apply a discrete action principle for the Vlasov--Maxwell equations in a structure-preserving particle-field discretization framework. In this framework the fini…
Geometric Particle-in-Cell Simulations of the Vlasov--Maxwell System in Curvilinear Coordinates
Benedikt Perse, Katharina Kormann, Eric Sonnendrücker
Numerical schemes that preserve the structure of the kinetic equations can provide stable simulation results over a long time. An electromagnetic particle-in-cell solver for the Vl…
hyper.deal: An efficient, matrix-free finite-element library for high-dimensional partial differential equations
Peter Munch, Katharina Kormann, Martin Kronbichler
This work presents the efficient, matrix-free finite-element library hyper.deal for solving partial differential equations in two to six dimensions with high-order discontinuous Ga…
Subcycling of particle orbits in variational, geometric electromagnetic particle-in-cell methods
Eero Hirvijoki, Katharina Kormann, Filippo Zonta
This paper investigates subcycling of particle orbits in variational, geometric particle-in-cell methods addressing the Vlasov--Maxwell system in magnetized plasmas. The purpose of…
Evaluation of performance portability frameworks for the implementation of a particle-in-cell code
Victor Artigues, Katharina Kormann, Markus Rampp +1
This paper reports on an in-depth evaluation of the performance portability frameworks Kokkos and RAJA with respect to their suitability for the implementation of complex particle-…