Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Numerische Mathematik

 

Dr. Balázs Kovács
Universität Tübingen
 
spricht am
 
Dienstag, 12. November 2019
 
um
 
16:00 Uhr
 
im
 
Raum 1008 (L1)
 
über das Thema:
 

»$L^2$ error estimates for wave equations with dynamic boundary conditions«

Abstract:
In this talk we will discuss $L^2$ norm error estimates of semi- and full discretisations, using bulk-surface finite elements and Runge-Kutta methods, of wave equations with dynamic boundary conditions. The presented analysis resides on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed which fit into the abstract framework. For problems with velocity terms, or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than two. These can also be observed in the numerical experiments we will present. The talk is based on joint work with D. Hipp (Karlsruhe, Germany).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Daniel Peterseim


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