On the Resolution of an Inverse Problem by Shape Optimization Techniques

Chahnaz Zakia Timimoun

Abstract and Applied Analysis, 2019, vol. 2019, issue 1

Abstract: In this work, we want to detect the shape and the location of an inclusion ω via some boundary measurement on ∂Ω. In practice, the body ω is immersed in a fluid flowing in a greater domain Ω and governed by the Stokes equations. We study the inverse problem of reconstructing ω using shape optimization methods by defining the Kohn‐Vogelius cost functional. We aim to study the inverse problem with Neumann and mixed boundary conditions.

Date: 2019
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https://doi.org/10.1155/2019/7684637

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2019:y:2019:i:1:n:7684637

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