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The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation
In this paper, we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control theory. We show that for a class of partial differential equations, the shape-dependent state variable can be differentiated with respect to the topol...
| Autores principales: | , , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer US
2023
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10185627/ https://www.ncbi.nlm.nih.gov/pubmed/37204992 http://dx.doi.org/10.1007/s12220-023-01295-w |