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2019 On the Resolution of an Inverse Problem by Shape Optimization Techniques
Chahnaz Zakia Timimoun
Abstr. Appl. Anal. 2019: 1-6 (2019). DOI: 10.1155/2019/7684637

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.

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Chahnaz Zakia Timimoun. "On the Resolution of an Inverse Problem by Shape Optimization Techniques." Abstr. Appl. Anal. 2019 1 - 6, 2019. https://doi.org/10.1155/2019/7684637

Information

Received: 26 November 2018; Revised: 25 February 2019; Accepted: 26 March 2019; Published: 2019
First available in Project Euclid: 16 May 2019

zbMATH: 07054493
MathSciNet: MR3945186
Digital Object Identifier: 10.1155/2019/7684637

Rights: Copyright © 2019 Hindawi

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