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

Matthias Schuster () and Volker Schulz ()
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Matthias Schuster: Trier University
Volker Schulz: Trier University

Computational Optimization and Applications, 2025, vol. 91, issue 3, No 2, 1033-1071

Abstract: Abstract 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.

Keywords: Shape optimization; Second shape derivative; Nonlocal convection-diffusion (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10589-025-00678-9

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