Shape optimization for interface identification in nonlocal models
Optimization and Control
2022-07-26 v2
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.
Cite
@article{arxiv.1909.08884,
title = {Shape optimization for interface identification in nonlocal models},
author = {Volker Schulz and Matthias Schuster and Christian Vollmann},
journal= {arXiv preprint arXiv:1909.08884},
year = {2022}
}