90 citations · 1k across the 88 of their papers we have counts for
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ADI type preconditioners for the steady state inhomogeneous Vlasov equation
Markus Gasteiger, Lukas Einkemmer, Alexander Ostermann +1
The purpose of the current work is to find numerical solutions of the steady state inhomogeneous Vlasov equation. This problem has a wide range of applications in the kinetic simul…
Streamline integration as a method for two-dimensional elliptic grid generation
Matthias Wiesenberger, Markus Held, Lukas Einkemmer
We propose a new numerical algorithm to construct a structured numerical elliptic grid of a doubly connected domain. Our method is applicable to domains with boundaries defined by…
A comparison of boundary correction methods for Strang splitting
Lukas Einkemmer, Alexander Ostermann
In this paper we consider splitting methods in the presence of non-homogeneous boundary conditions. In particular, we consider the corrections that have been described and analyzed…
Structure preserving numerical methods for the Vlasov equation
Lukas Einkemmer
To preserve a number of physically relevant invariants is a major concern when considering long time integration of the Vlasov equation. In the present work we consider the semi-La…
On the performance of exponential integrators for problems in magnetohydrodynamics
Lukas Einkemmer, Mayya Tokman, John Loffeld
Exponential integrators have been introduced as an efficient alternative to explicit and implicit methods for integrating large stiff systems of differential equations. Over the pa…
A mixed precision semi-Lagrangian algorithm and its performance on accelerators
Lukas Einkemmer
In this paper we propose a mixed precision algorithm in the context of the semi-Lagrangian discontinuous Galerkin method. The performance of this approach is evaluated on a traditi…
An asymptotic preserving scheme for the relativistic Vlasov--Maxwell equations in the classical limit
Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
We consider the relativistic Vlasov--Maxwell (RVM) equations in the limit when the light velocity goes to infinity. In this regime, the RVM system converges towards the Vlasov-…
Overcoming order reduction in diffusion-reaction splitting. Part 2: oblique boundary conditions
Lukas Einkemmer, Alexander Ostermann
Splitting methods constitute a well-established class of numerical schemes for the time integration of partial differential equations. Their main advantages over more traditional s…
Evaluation of the Partitioned Global Address Space (PGAS) model for an inviscid Euler solver
Martina Prugger, Lukas Einkemmer, Alexander Ostermann
In this paper we evaluate the performance of Unified Parallel C (which implements the partitioned global address space programming model) using a numerical method that is widely us…
A study on conserving invariants of the Vlasov equation in semi-Lagrangian computer simulations
Lukas Einkemmer
The semi-Lagrangian discontinuous Galerkin method, coupled with a splitting approach in time, has recently been introduced for the Vlasov--Poisson equation. Since these methods are…