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On an effective approach in shape optimization problem for Stokes equation

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Abstract

In this paper, we deal with the numerical study of a shape optimization problem governed by Stokes system. More precisely, we propose an effective numerical approach based on the shape derivative formula with respect to convex domains using Minkowski deformation (Boulkhemair and Chakib in J Convex Anal 21(1):67–87, 2014). Then, we present some numerical tests including comparison results showing that the proposed algorithm is more efficient, in term of the accuracy of the solution and central processing unit (CPU) time execution, than the one involving the classical shape derivative formula massively used in literature.

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Authors and Affiliations

  1. Applied Mathematics Team (AMT), Faculty of Sciences and Techniques, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Abdelkrim Chakib, Ibrahim Khalil, Hamid Ouaissa & Azeddine Sadik

Authors
  1. Abdelkrim Chakib
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  2. Ibrahim Khalil
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  3. Hamid Ouaissa
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  4. Azeddine Sadik
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Correspondence to Hamid Ouaissa.

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Chakib, A., Khalil, I., Ouaissa, H. et al. On an effective approach in shape optimization problem for Stokes equation. Optim Lett 17, 1487–1494 (2023). https://doi.org/10.1007/s11590-023-01970-5

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  • DOI: https://doi.org/10.1007/s11590-023-01970-5

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