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arXiv · 1909.08884

Shape optimization for interface identification in nonlocal models

Volker Schulz·Matthias Schuster·Christian Vollmann
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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.

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Volker Schulz, Matthias Schuster, Christian Vollmann. 2019-09-19. Shape optimization for interface identification in nonlocal models. https://arxiv.org/abs/1909.08884

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