Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Advance publication (2019), 28 pp.
Topological optimization via cost penalization
We consider general shape optimization problems governed by Dirichlet boundary value problems. The proposed approach may be extended to other boundary conditions as well. It is based on a recent representation result for implicitly defined manifolds, due to the authors, and it is formulated as an optimal control problem. The discretized approximating problem is introduced and we give an explicit construction of the associated discrete gradient. Some numerical examples are also indicated.
Topol. Methods Nonlinear Anal., Advance publication (2019), 28 pp.
First available in Project Euclid: 11 November 2019
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Murea, Cornel Marius; Tiba, Dan. Topological optimization via cost penalization. Topol. Methods Nonlinear Anal., advance publication, 11 November 2019. doi:10.12775/TMNA.2019.080. https://projecteuclid.org/euclid.tmna/1573441227