Abstract
We present a locally quadratically convergent optimization algorithm for solving topology optimization problems. The distinguishing feature of the algorithm is to treat the design as a smooth function of the state and not vice versa as in the traditional nested approach to topology optimization, which we achieve by inverting a part of perturbed optimality conditions for the problem. In this way, the computational bottleneck is conveniently shifted from evaluating the merit function to a direction finding subproblem. The latter involves solving certain linearized PDEs, and the computational effort is similar to that of finding a gradient of the merit function in the traditional nested approach. We illustrate the performance of the algorithm on benchmark topology optimized problems in fluid mechanics.
Original language | English |
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Title of host publication | Proceedings of the 26th Nordic Seminar on Computational Mechanics |
Editors | Anders Logg, André Massing, Kent-Andre Mardel |
Publication date | 2013 |
Pages | 135-138 |
ISBN (Print) | 978-82-92593-12-7 |
Publication status | Published - 2013 |
Event | 26th Nordic Seminar on Computational Mechanics - Oslo, Norway Duration: 23 Oct 2013 → 25 Oct 2013 Conference number: 26 http://noacm.no/vpage/1/0/NSCM |
Conference
Conference | 26th Nordic Seminar on Computational Mechanics |
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Number | 26 |
Country/Territory | Norway |
City | Oslo |
Period | 23/10/2013 → 25/10/2013 |
Internet address |