Second order shape optimization for an interface identification problem constrained by nonlocal models

Since shape optimization methods have been proven useful for identifying interfaces in models governed by partial differential equations, we show how shape optimization techniques can also be applied to an interface identification problem constrained by a nonlocal Dirichlet problem. Here, we focus on deriving the second shape derivative of the corresponding reduced functional and we further investigate a second-order optimization algorithm.

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Year of publication:	2025
Authors:	Schuster, Matthias ; Schulz, Volker
Published in:	Computational Optimization and Applications. - New York, NY : Springer US, ISSN 1573-2894. - Vol. 91.2025, 3, p. 1033-1071
Publisher:	New York, NY : Springer US
Subject:	Shape optimization \| Second shape derivative \| Nonlocal convection-diffusion

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Type of publication:	Article
Type of publication (narrower categories):	Article
Language:	English
Other identifiers:	10.1007/s10589-025-00678-9 [DOI] hdl:10419/323338 [Handle]
Source:	EconStor

Persistent link: https://www.econbiz.de/10015436640