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2019 Topological optimization via cost penalization
Cornel Marius Murea, Dan Tiba
Topol. Methods Nonlinear Anal. 54(2B): 1023-1050 (2019). DOI: 10.12775/TMNA.2019.080

Abstract

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.

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Cornel Marius Murea. Dan Tiba. "Topological optimization via cost penalization." Topol. Methods Nonlinear Anal. 54 (2B) 1023 - 1050, 2019. https://doi.org/10.12775/TMNA.2019.080

Information

Published: 2019
First available in Project Euclid: 11 November 2019

MathSciNet: MR4077475
Digital Object Identifier: 10.12775/TMNA.2019.080

Rights: Copyright © 2019 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.54 • No. 2B • 2019
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