Minisymposium Presentation

This talk will discuss two efficiency-enhancements of the discontinuous Galerkin solution of the Vlasov equation: communication-avoiding boundary exchange as well as an arbitrary Lagrangian-Eulerian implementation of the gyration about the magnetic field lines. The communication of boundary data in a distributed solution constitute a major bottleneck in the solution of high-dimensional problems due to the increased surface-to-volume ratio. We will discuss a reduced communication rate combined with extrapolated boundary data. On the other hand, we combine the Lagrangian treatment of the vxB term with a DG treatment of the rest of the equation to enable increased time steps.