On the problem of detecting source points acting on a fluid

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 r...

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Bibliographic Details
Published inDemonstratio mathematica Vol. 56; no. 1; pp. 385 - 397
Main Authors Abdelwahed, Mohamed, Chorfi, Nejmeddine
Format Journal Article
LanguageEnglish
Published De Gruyter 24.11.2023
Subjects
35q30
49q10
74p05
optimization
source point detection
stokes equations
topological sensitivity
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Summary: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.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2023-0108