We consider a viscous incompressible fluid under the action of a finite number of particles
located inside the flow domain. Each particle exerts a pointwise force on the fluid. The main …

This paper concerns a fast, one-step iterative technique of imaging extended perfectly
conducting cracks with Dirichlet boundary condition. In order to reconstruct the shape of …

This study focuses on source term inversion in fractional partial differential equations,
specifically applied to photoacoustic imaging. This work contributes to advancing imaging …

In this article we address the problem of locating point forces within a time-dependent
singular Brinkman flow. The context of the study is framed as an approximation of …

We consider the problem of water–air two-phase flow, which occurs during water aeration by
air injection. We present and analyze a new model incorporating a nonlocal boundary …

Optimal shape design problems in fluid mechanics have wide and valuable applications in
aerodynamic and hydrodynamic problems such as the design of car hoods, airplane wings …

In this paper, we propose an approach based on the topological sensitivity notion for solving
an inverse design problem. The presented procedure can be applied for finding the optimal …

The aeration process via injectors is used to combat the lack of oxygen in water reservoirs
due to the eutrophication problem. The optimization of the injectors location allows to …

This work focuses on the topological sensitivity analysis of a three-dimensional parabolic
type problem. The considered application model is described by the heat equation. We …

In this paper we use the heat transfer equation as a parabolic model problem and we extend
the topological sensitivity notion for the non-stationary regime. We derive a topological …