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Abstract
An interior point method for the structural topology optimization is proposed. The linear systems arising in the method are solved by the conjugate gradient method preconditioned by geometric multigrid. The resulting method is then compared with the so-called optimality condition method, an established technique in topology optimization. This method is also equipped with the multigrid preconditioned conjugate gradient algorithm. We conclude that, for large scale problems, the interior point method with an inexact iterative linear solver is superior to any other variant studied in the paper.
Original language | English |
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Pages (from-to) | B685-B709 |
Number of pages | 25 |
Journal | SIAM Journal on Scientific Computing |
Volume | 38 |
Issue number | 5 |
DOIs | |
Publication status | Published - 1 Sept 2016 |
Keywords
- topology optimization
- multigrid methods
- interior point methods
- preconditioners for iterative methods
ASJC Scopus subject areas
- General Mathematics
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Dive into the research topics of 'Primal-dual interior point multigrid method for topology optimization'. Together they form a unique fingerprint.Projects
- 1 Finished
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FP7_COLLAB_AMAZE
Attallah, M. (Principal Investigator) & Kocvara, M. (Co-Investigator)
European Commission, European Commission - Management Costs
1/01/13 → 30/06/17
Project: Research