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Discrete curvature functionals — and some of their challenges

Datum
05.12.2018 
Zeit
17:00 Uhr - 18:00 Uhr 
Sprecher
Prof. Dr. Max Wardetzky 
Institut
Georg-August-Universität Göttingen 
Teil der Serie
TUD Dresdner Mathematisches Seminar 
Sprache
de 
Hauptthema
Mathematik: Allgemein
Ansprechpartner
Prof. Dr. Oliver Sander 
Zusammenfassung

Discrete notions of curvatures are by now quite far developed, partially motivated by applications in shape-space analysis, computer graphics, and physical simulation. When establishing discrete notions of curvatures, one is often guided by mimicking structural properties of the classical smooth
setting and by the desire to recover classical notions in the limit of refinement. While we have gained quite a bit of knowledge about the convergence of discrete curvatures and differential operators by now, one question remains widely open and poses interesting challenges: Do those minimizing shapes that we are able to compute approximate their smooth counterparts or do they just provide us with pretty pictures? Building on tools from variational analysis, I will present a framework for treating
convergence of discrete minimizers of geometric energy functionals. As a particular example, I will discuss convergence of the perhaps most prominent minimizers of geometric energy functionals: discrete minimal surfaces.

 

Letzte Aktualisierung: 29.11.2018 15:37.

Vortragsort 

TUD Willers-Bau (B 321) 
Zellescher Weg 12-14
01069 Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00 

Veranstalter 

TUD Mathematik
Willersbau, Zellescher Weg 12-14
01069 Dresden
Telefon
49-351-463 33376 
Homepage
http://tu-dresden.de/mathematik 
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