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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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Michael Hintermüller, Günter Leugering, Jan Sokolowski, Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications. Oberwolfach Rep. 9 (2012), no. 4, pp. 3375–3415DOI 10.4171/OWR/2012/57