Shape optimization for interface identification in nonlocal models

Matthias Schuster (), Christian Vollmann () and Volker Schulz ()
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Matthias Schuster: Universitaet Trier
Christian Vollmann: Universitaet Trier
Volker Schulz: Universitaet Trier

Computational Optimization and Applications, 2024, vol. 88, issue 3, No 9, 963-997

Abstract: Abstract Shape optimization methods have been proven useful for identifying interfaces in models governed by partial differential equations. Here we consider a class of shape optimization problems constrained by nonlocal equations which involve interface–dependent kernels. We derive a novel shape derivative associated to the nonlocal system model and solve the problem by established numerical techniques. The code for obtaining the results in this paper is published at ( https://github.com/schustermatthias/nlshape ).

Keywords: Shape optimization; Nonlocal convection–diffusion; Finite element method; Interface identification (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10589-024-00575-7

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