| Autor: |
Garcke, Harald, Hüttl, Paul, Knopf, Patrik |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Advances in Nonlinear Analysis, vol. 11, no. 1, 2022, pp. 159-197 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1515/anona-2020-0183 |
| Popis: |
A cost functional involving the eigenvalues of an elastic structure, that is described by a multi-phase-field equation, is optimized. This allows us to handle topology changes and multiple materials. We prove continuity and differentiability of the eigenvalues and we establish the existence of a global minimizer to our optimization problem. We further derive first-order necessary optimality conditions for local minimizers. Moreover, an optimization problem combining eigenvalue and compliance optimization is also discussed. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
