Analysis of Obstacles Immersed in Viscous Fluids Using Brinkman's Law for Steady Stokes and Navier--Stokes Equations

J Aguayo, HC Lincopi - SIAM Journal on Applied Mathematics, 2022 - SIAM
From the steady Stokes and Navier--Stokes models, a penalization method has been
considered by several authors for approximating those fluid equations around obstacles. In …

[PDF][PDF] The “exterior approach” to solve the inverse obstacle problem for the Stokes system

L Bourgeois, J Dardé - methods, 2014 - wwwuma.ensta.fr
We apply an “exterior approach” based on the coupling of a method of quasi-reversibility
and of a level set method in order to recover a fixed obstacle immersed in a Stokes flow from …

Some geometric inverse problems for the Lamé system with applications in elastography

A Doubova, E Fernández-Cara - Applied Mathematics & Optimization, 2020 - Springer
In this paper, we consider some geometric inverse problems for the Lamé system. A first
motivation comes from from elastography, a technique that allows to identify the elastic …

SOME GEOMETRIC INVERSE PROBLEMS FOR THE LINEAR WAVE EQUATION.

A Doubova, E Fernández-Cara - Inverse Problems & …, 2015 - search.ebscohost.com
SOME GEOMETRIC INVERSE PROBLEMS FOR THE LINEAR WAVE EQUATION Anna Doubova
and Enrique Fernández-Cara (Communicated by Guillaume Page 1 Inverse Problems and …

Some new results for geometric inverse problems with the method of fundamental solutions

PP Carvalho, A Doubova… - Inverse Problems in …, 2021 - Taylor & Francis
In this paper we solve numerically some geometric inverse problems for linear and
semilinear elliptic equations with the method of fundamental solutions (MFS). More …

Identification of a boundary obstacle in a Stokes fluid with Dirichlet–Navier boundary conditions: External measurements

L Breton, C Montoya, PG Casanova… - Journal of Mathematical …, 2024 - Elsevier
The problem of identifying an obstruction within a fluid duct has several applications, one of
which is in medicine, where the presence of stenosis in coronary vessels poses a life …

The identification of obstacles immersed in a steady incompressible viscous fluid

G Yuksel, D Lesnic - Journal of Engineering Mathematics, 2024 - Springer
In this paper, the identification of immersed obstacles in a steady incompressible Navier–
Stokes viscous fluid flow from fluid traction measurements is investigated. The solution of the …

On the identifiability of a rigid body moving in a stationary viscous fluid

C Conca, EL Schwindt, T Takahashi - Inverse Problems, 2011 - iopscience.iop.org
This paper is devoted to a geometrical inverse problem associated with a fluid–structure
system. More precisely, we consider the interaction between a moving rigid body and a …

Size estimates of an obstacle in a stationary Stokes fluid

E Beretta, C Cavaterra, JH Ortega… - arxiv preprint arxiv …, 2016 - arxiv.org
In this work we are interested in estimating the size of a cavity D immersed in a bounded
domain\Omega, contained in R^ d, d= 2, 3, filled with a viscous fluid governed by the Stokes …

[PDF][PDF] Deep Learning Methods for a Fluid Inverse Problem

CÁ Contreras - 2024 - researchgate.net
This work addresses the study of the inverse problem of obstacle recovery in the context of
the Stokes system through a Deep Learning-based approach. A method was developed …