Work

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

Year: 2025

Type: book-chapter

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.

Source: Computational Optimization and Applications

DOI: 10.1007/s10589-025-00678-9

Authors: Matthias Schuster, Volker Schulz

Institution: Universität Trier

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Universität Trier, Deutsche Forschungsgemeinschaft