Speaker
Philip Herbert
(University of Sussex)
Description
In this talk, we will consider a novel strategy for the approximation of optimal shapes. The approach is to use a phase field to provide a near-optimal shape. When adaptively refining the phase field, one ensure a well resolved interface. Upon meeting a desired stopping criteria, the level set of the phase field, which defines a shape is passed onto a sharp interface shape optimisation method. A discussion of the numerical treatment as well as some experiment will be provided.
Author
Philip Herbert
(University of Sussex)
Co-authors
Christian Kahle
Prof.
Klaus Deckelnick
(Otto-von-Guricke University Magdeburg)
Prof.
Michael Hinze
(University of Koblenz)