Jin, Bangti;
Li, Jing;
Xu, Yifeng;
Zhu, Shengfeng;
(2024)
An adaptive phase-field method for structural topology optimization.
Journal of Computational Physics
, 506
, Article 112932. 10.1016/j.jcp.2024.112932.
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Abstract
In this work, we develop an adaptive algorithm for the efficient numerical solution of the minimum compliance problem in topology optimization. The algorithm employs the phase field approximation and continuous density field. The adaptive procedure is driven by two residual type a posteriori error estimators, one for the state variable and the other for the first-order optimality condition of the objective functional. The adaptive algorithm is provably convergent in the sense that the sequence of numerical approximations generated by the adaptive algorithm contains a subsequence convergent to a solution of the continuous first-order optimality system. We provide several numerical simulations to show the distinct features of the algorithm.
| Type: | Article |
|---|---|
| Title: | An adaptive phase-field method for structural topology optimization |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jcp.2024.112932 |
| Publisher version: | http://dx.doi.org/10.1016/j.jcp.2024.112932 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Minimum compliance, Adaptive algorithm, Topology optimization, convergence, A posteriori error estimator |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10191469 |
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