90 citations · 1k across the 88 of their papers we have counts for
7 papers · 2 filters
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…
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…