Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Dr. Robert Altmann
Universität Augsburg

 
spricht am
 
Dienstag, 5. Dezember 2017
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Numerical Analysis for Constrained PDEs«

Abstract:
Abstract: In this talk, we consider constrained PDE systems and motivate their formulation as differential-algebraic equations in Banach spaces. After presenting several examples and applications, we discuss the need of consistent initial data. In the second part, we analyse two time discretization schemes. First, we consider the implicit Euler discretization. It turns out that, in the weak setting, only the 'differential variables' converge. Second, we introduce a splitting approach to deal with constrained reaction-diffusion systems with a nonlinear reaction term. More precisely, we observe a reduction of the convergence order for Strang splitting, which we aim to overcome.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Daniel Peterseim
 

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



wwwadm@Math.Uni-Augsburg.DE,    Do 23-Nov-2017 11:41:29 MEZ