189 citations · 595 across the 24 of their papers we have counts for
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A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations
Dominik Still, Natalia Nebulishvili, Richard Schussnig +2
This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…
A dual grid geometric electromagnetic particle in cell method
Katharina Kormann, Eric Sonnendrücker
Geometric particle-in-cell discretizations have been derived based on a discretization of the fields that is conforming with the de Rham structure of the Maxwell's equation and a s…
A geometric Particle-In-Cell discretization of the drift-kinetic and fully kinetic Vlasov-Maxwell equations
Guo Meng, Katharina Kormann, Emil Poulsen +1
In this paper, we extend the geometric Particle in Cell framework on dual grids to a gauge-free drift-kinetic Vlasov--Maxwell model and its coupling with the fully kinetic model. W…