Oberwolfach Reports


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Volume 9, Issue 4, 2012, pp. 3375–3415
DOI: 10.4171/OWR/2012/57

Published online: 2013-08-07

Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications

Michael Hintermüller[1], Günter Leugering[2] and Jan Sokolowski[3]

(1) Weierstrass-Institut, Berlin, Germany
(2) Universität Erlangen-Nürnberg, Germany
(3) Université Henri Poincaré, Vandoeuvre les Nancy, France

The aim of the workshop was to study geometrical objects and their sensitivities in applications based on partial differential equations or differential variational inequalities. Focus topics comprised analytical investigations, numerical developments, issues in applications as well as new and future directions. Particular emphasis was put on: (i) combined shape and topological sensitivity; (ii) extended topological expansions and their numerical realization; (iii) level set based shape and topology optimization.

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Hintermüller Michael, Leugering Günter, Sokolowski Jan: Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications. Oberwolfach Rep. 9 (2012), 3375-3415. doi: 10.4171/OWR/2012/57