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math.OC2024★ 1 cited
Detecting immersed obstacle in Stokes fluid flow using the coupled complex boundary method
Julius Fergy Tiongson Rabago, Lekbir Afraites, Hirofumi Notsu
A non-conventional shape optimization approach is introduced to address the identification of an obstacle immersed in a fluid described by the Stokes equation within a larger bound…
math.OC2023
Numerical solution to a free boundary problem for the Stokes equation using the coupled complex boundary method in shape optimization settings
Julius Fergy T. Rabago, Hirofumi Notsu
A new reformulation of a free boundary problem for the Stokes equations governing a viscous flow with overdetermined condition on the free boundary is proposed. The idea of the met…