Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Cory Hauck

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 

Abstract:

Discontinuous Galerkin (DG) methods were first constructed for the purpose of solving kinetic transport equations.
Since then, it has been realized that DG methods perform well in scattering-dominated regimes, where
the solution of the transport equation can be approximated asymptotically by the solution of a much simpler
diffusion equation. For this reason, DG methods continue to be popular in applications where the diffusion limit
is important. The effectiveness of DG in this limit can be traced back to the additional degrees of freedom
per cell it uses (when compared to finite volume methods). However, these extra degrees of freedom come at
a substantial cost, especially given the fact that memory is often the limiting factor when simulating realistic
problems with a kinetic description. In this talk, I will review some of the history of DG methods and their use
in radiation transport simulations. I will then present two methods for reducing the memory of the standard
DG approach while still capturing the asymptotic diffusion limit. Both methods rely on a hybrid approach to
solving the transport equation.

via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)