Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Mathematische Modellierung und partielle Differentialgleichungen

 

Herr Tom Freudenberg
Universität Bremen
 
spricht am
 
Dienstag, 4. November 2025
 
um
 
16:00 Uhr
 
im
 
Raum 1309 (I2)
 
über das Thema:
 

»Precomputing Approach and Deep Learning Surrogate for a Two-scale Phase Transition Model«

Abstract:
We investigate a two-scale model with moving boundaries motivated by phase transitions in steel production. The underlying growth and shrinkage are characterized using the Hanzawa transformation. By employing a fixed-point argument, we demonstrate that the problem is well-posed. The stability of a precomputing scheme, which shifts the computation of effective parameters to an offline phase, is established by exploiting the properties of the Hanzawa transformation. To further accelerate the numerical simulations, we propose and study a coupled finite element–deep learning algorithm, in which the two-scale functions are approximated by a deep learning surrogate.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Malte Peter

[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Di 28-Okt-2025 18:06:28 MEZ