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Cited article:

Topological Asymptotic Analysis for a Time Fractional Identification Problem

Mohamed Abdelwahed, Nejmeddine Chorfi and Maatoug Hassine
Mathematical Methods in the Applied Sciences (2025)
https://doi.org/10.1002/mma.11120

Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow

Rakia Malek, Maatoug Hassine and Mourad Hrizi
Journal of Mathematical Analysis and Applications 517 (2) 126648 (2023)
https://doi.org/10.1016/j.jmaa.2022.126648

Topological asymptotic expansion for the full Navier–Stokes equations

Maatoug Hassine and Sana Chaouch
Asymptotic Analysis 133 (1-2) 91 (2023)
https://doi.org/10.3233/ASY-221807

Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations

Maatoug Hassine and Marwa Ouni
Asymptotic Analysis 135 (1-2) 277 (2023)
https://doi.org/10.3233/ASY-231855

Topological Sensitivity Analysis Method in Identifying of Point Sources via Time-Fractional Diffusion Equation

Mohamed BenSalah
Acta Applicandae Mathematicae 181 (1) (2022)
https://doi.org/10.1007/s10440-022-00523-9

Topological Derivatives of Shape Functionals. Part II: First-Order Method and Applications

Antonio André Novotny, Jan Sokołowski and Antoni Żochowski
Journal of Optimization Theory and Applications 180 (3) 683 (2019)
https://doi.org/10.1007/s10957-018-1419-x

Kohn–Vogelius formulation and topological sensitivity analysis based method for solving geometric inverse problems

Maatoug Hassine and Imen Kallel
Arab Journal of Mathematical Sciences 24 (1) 43 (2018)
https://doi.org/10.1016/j.ajmsc.2017.09.001

Design optimization of laminar flow machine rotors based on the topological derivative concept

L. F. N. Sá, A. A. Novotny, J. S. Romero and E. C. N. Silva
Structural and Multidisciplinary Optimization 56 (5) 1013 (2017)
https://doi.org/10.1007/s00158-017-1698-0

Topological derivatives applied to fluid flow channel design optimization problems

L. F. N. Sá, R. C. R. Amigo, A. A. Novotny and E. C. N. Silva
Structural and Multidisciplinary Optimization 54 (2) 249 (2016)
https://doi.org/10.1007/s00158-016-1399-0

Optimal shape design for fluid flow using topological perturbation technique

M. Abdelwahed, M. Hassine and M. Masmoudi
Journal of Mathematical Analysis and Applications 356 (2) 548 (2009)
https://doi.org/10.1016/j.jmaa.2009.02.045