Wednesday, September 25, 2019 - 10:00 in H10
Accuracy Controlled Schemes for Radiative Transfer
A talk in the Keine Reihe series by
Wolfgang Dahmen from University of South Carolina
| Abstract: |
We present and analyze a solver for radiative transfer equations that gener-
ates for a given target accuracy an approximate solution that is guarateed to meet this toler-
ance with respect to an L 2 norm over the spatial and velocity domain. The main conceptual
ingredients are suitable stable (unsymmetric) variational formulations for kinetic models of
this type, a fast error-controlled application of non-trivial scattering kernels via wavelet com-
pression, and most importantly, the adaptive error controlled solution of transport equations.
A key role is played by reliable and efficient a posteriori error bounds for Discontinuous
Petrov-Galerkin transport solvers. The theoretical findings are illustrated by some numerical
experiments.
This is a joint work with F. Gruber and O. Mula.
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