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On the problem of detecting source points acting on a fluid

Abdelwahed Mohamed, Chorfi Nejmeddine

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20230108

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.