Name
Abstract | ||
|---|---|---|
Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters are used to promote convergence to more optimal solutions; however, these methods can fail even in the simplest cases. In this paper, we present an algorithm to perform a systematic exploratory search for the solutions of the optimization problem via second order methods without a good initial guess. The algorithm combines the techniques of deflation, barrier methods, and primal-dual active set solvers in a novel way. We demonstrate this approach on several numerical examples, observe mesh independence in certain cases and show that multiple distinct local minima can be recovered. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1326209 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | DocType | Volume |
topology optimization, deflation, barrier methods, second-order methods | Journal | 43 |
Issue | ISSN | Citations |
3 | 1064-8275 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Papadopoulos Ioannis P. A. | 1 | 0 | 0.34 |
| Patrick E. Farrell | 2 | 82 | 15.59 |
| Thomas M. Surowiec | 3 | 24 | 3.71 |