Thursday, April 18, 2024 - 17:15 in V2-210/216
Recent advances in computational shape optimization
A talk in the Mathematisches Kolloquium & Mathematisches Kolloquium (SFB 1283) series by
Volker Schulz from Universität Trier
| Abstract: |
Shape optimization is a classical topic in mathematics, where several advances have been achieved
recently, particularly in novel numerical approaches to this problem class. Therefore, this talk will
discuss the simultaneous optimization of shapes together with the related surface and volume meshes.
This leads to a novel linear interpretation of shape optimization delivering new formulations of second
shape derivatives and shape-Newton methods. In addition, shape optimization in the context of non-
local models like peridynamics and nonstandard diffusion demands for an appropriate generalization
of shape calculus. Results in various application areas underline the practical importance of research
in this domain.
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