189 citations · 595 across the 24 of their papers we have counts for
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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…