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