Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Mathematische Modellierung und partielle Differentialgleichungen

 

Dr. Sina Reichelt
Weierstraß-Institut für Angewandte Analysis und Stochastik

 
spricht am
 
Dienstag, 23. Mai 2017
 
um
 
15:45 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Corrector estimates for elliptic and parabolic equations with periodic coefficients«

Abstract:
The talk addresses corrector estimates for partial differential equations with coefficients that are not exactly ε-periodic, where ε > 0 denotes the ratio between the microscopic and the macroscopic length scale. The first part is devoted to the derivation of quantitative estimates for linear elliptic equations where the ellipticity may degenerate with order O(ε). It is shown that for γ = 0 and γ = 1 the error between the original solution and the effective solution is of order O(ε1/2). Therefore suitable test functions are constructed via the periodic unfolding method and a gradient folding operator making only minimal additional assumptions with respect to the macroscopic scale on the given data and the effective solution. In the second part we generalize the obtained error estimates to parabolic equations and systems.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter



wwwadm@Math.Uni-Augsburg.DE,    Di 16-Mai-2017 14:55:13 MESZ