90 citations · 1k across the 88 of their papers we have counts for
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A quasi-conservative dynamical low-rank algorithm for the Vlasov equation
Lukas Einkemmer, Christian Lubich
Numerical methods that approximate the solution of the Vlasov-Poisson equation by a low-rank representation have been considered recently. These methods can be extremely effective…
Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures
Matthias Wiesenberger, Lukas Einkemmer, Markus Held +3
Feltor is a modular and free scientific software package. It allows developing platform independent code that runs on a variety of parallel computer architectures ranging from lapt…
A low-rank algorithm for weakly compressible flow
Lukas Einkemmer
In this paper, we propose a numerical method for solving weakly compressible fluid flow based on a dynamical low-rank projector splitting. The low-rank splitting scheme is applied…
A comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
Lukas Einkemmer
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 compar…
Streamline integration as a method for structured grid generation in X-point geometry
M. Wiesenberger, M. Held, L. Einkemmer +1
We investigate structured grids aligned to the contours of a two-dimensional flux-function with an X-point (saddle point). Our theoretical analysis finds that orthogonal grids exis…
A low-rank projector-splitting integrator for the Vlasov--Poisson equation
Lukas Einkemmer, Christian Lubich
Many problems encountered in plasma physics require a description by kinetic equations, which are posed in an up to six-dimensional phase space. A direct discretization of this pha…