Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Dr. Guido Kanschat
Ruprecht-Karls-Universität Heidelberg
 
spricht am
 
Donnerstag, 7. November 2019
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Asymptotic expansion for radiation transport in scattering media and its consequences for numerical approximation«

Abstract:
The energy balance of light and matter imposes diffusive behavior in the asymptotic limit of high density. The numerical approximation of this limit is quite delicate and discretization methods must be designed with some care in order to achieve it. On the other hand, violation of the asymptotic limit by the numerical scheme yields qualitatively wrong approximations for even moderate densities.

We discuss the reasons for breakdown of the standard method and ways to preserve correct asymptotic behavior. In numerical experiments, we show that multilevel domain decomposition solvers work almost out of the box for asymptotic preserving discretizations.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).


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