2 papers
math.OC2023
A robust alternating direction numerical scheme in a shape optimization setting for solving geometric inverse problems
Julius Fergy Tiongson Rabago, Aissam Hadri, Lekbir Afraites +2
The alternating direction method of multipliers within a shape optimization framework is developed for solving geometric inverse problems, focusing on a cavity identification probl…
math.OC2007
On second order shape optimization methods for electrical impedance tomography
Lekbir Afraites, Marc Dambrine, Djalil Kateb
This paper is devoted to the analysis of a second order method for recovering the \emph{a priori} unknown shape of an inclusion inside a body from boundary measurement. Thi…