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math.OC2025
A level set topology optimization theory based on Hamilton's principle
Jan Oellerich, Takayuki Yamada
In this paper, we present a novel framework for deriving the evolution equation of the level set function in topology optimization, departing from conventional Hamilton-Jacobi base…
math.OC2025
Topology Optimization considering Shielding and Penetrating Features based on Fictitious Physical Model
Daiki Soma, Kota Sakai, Takayuki Yamada
This paper proposes topology optimization for considering shielding and penetrating features. Based on the fictitious physical model, which is a useful approach to control geometri…