Abstract - Exact relaxation in topology optimization
Author: Michael Hintermüller
Title of the contribution: Exact relaxation in topology optimization
Abstract:
A new exact relaxation concept for topology optimization is introduced.
Exactness refers to the fact that a solution of the relaxed problem is also a solution of the original discrete-valued problem. The main proof-tool is the renowned co-area formula for BV-functions. Stability under additive perturbations and approximation properties of Tikhonov-type regularizations are discussed as well.
On the numerical side we highlight projected gradient techniques and semismooth Newton aspproaches for the solution of the relaxed problems.
URL: www.ricam.oeaw.ac.at/specsem/sscm/srs_ev/difcome/program/abstracts/abstract_hintermueller.php
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