On the problem of detecting source points acting on a fluid

Author:

Abdelwahed Mohamed1,Chorfi Nejmeddine1

Affiliation:

1. Department of Mathematics, College of Sciences, King Saud University , Riyadh , Saudi Arabia

Abstract

Abstract The detection problem of a finite number of source points acting on a steady incompressible fluid flow from overdetermined boundary data was studied. The approach used in this study deals with the topological sensitivity technique. An asymptotic analysis of a prescribed cost function with respect to the domain perturbation was developed. Some numerical results to illustrate the efficiency and robustness of the developed source point detection algorithm were presented.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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