JournalsowrVol. 9 / No. 4DOI 10.4171/owr/2012/57

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

  • Michael Hintermüller

    Weierstrass-Institut, Berlin, Germany
  • Günter Leugering

    Universität Erlangen-Nürnberg, Germany
  • Jan Sokolowski

    Université Henri Poincaré, Vandoeuvre les Nancy, France
Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications cover

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Abstract

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.