Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/315240 
Year of Publication: 
2024
Citation: 
[Journal:] Computational Optimization and Applications [ISSN:] 1573-2894 [Volume:] 88 [Issue:] 3 [Publisher:] Springer US [Place:] New York, NY [Year:] 2024 [Pages:] 963-997
Publisher: 
Springer US, New York, NY
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 ).
Subjects: 
Shape optimization
Nonlocal convection–diffusion
Finite element method
Interface identification
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

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