3 papers
math.NA2025
Inverse problem for the Navier-Stokes equations and identification of immersed obstacles in the Mediterranean Sea
Mourad Hrizi, Marwa Ouni, Maatoug Hassine
This paper presents a theoretical and numerical investigation of object detection in a fluid governed by the three-dimensional evolutionary Navier--Stokes equations. To solve this…
math.OC2019
A non-iterative reconstruction method for an inverse problem modeled by a Stokes-Brinkmann equations
Mourad Hrizi, Rakia Malek, Maatoug Hassine
This article is concerned with the reconstruction of obstacle immersed in a fluid flowing in a bounded domain in the two dimensional case. We assume that the fluid motion i…
math.AP2017
A fast reconstruction algorithm for geometric inverse problems using topological sensitivity analysis and Dirichlet-Neumann cost functional approach
Maatoug Hassine, Imen Kallel
This paper is concerned with the detection of objects immersed in anisotropic media from boundary measurements. We propose an accurate approach based on the Kohn-Vogelius formulati…