On the problem of detecting source points acting on a fluid

• Autorzy: Abdelwahed Mohamed , Chorfi Nejmeddine

Identyfikatory

DOI

10.1515/dema-2023-0108

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

optimization; source point detection; topological sensitivity; Stokes equation

PL

optymalizacja; wrażliwość topologiczna; prawo Stokesa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20230108
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Abdelwahed Mohamed

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

autor

Chorfi Nejmeddine

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

Bibliografia

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• [5] M. Abdelwahed and N. Chorfi, Inverse problem resolution via Khon-vogelius formulation an topological sensitivity method, Fractals 30 (2022), no. 10, 1–6.
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• [9] M. Abdelwahed, M. Bensaleh, N. Chorfi and M. Hassine, An inverse problem study related to a fractional diffusion equation, J. Math. Anal. Appl. 512 (2022), no. 2, 126–154.
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• [17] R. Temam, Navier Stokes equations: Theory and Numerical Analysis, North-Holland Publishing Company, 1979.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).