3 papers
math.OC2026
A variational geometric framework for multi-objective level set topology optimization
Jan Oellerich, Takayuki Yamada
This paper proposes a variational framework for multi-objective level set topology optimization. The approach interprets the level set function as a generalized coordinate of a fic…
math.OC2026
Topology optimization concerning the mass distribution via filtered gradient flows on the Wasserstein space
Fumiya Okazaki, Takayuki Yamada
In this article, we formulate topology optimization problems concerning the mass distribution as minimization problems for functionals on the Wasserstein space. We relax optimizati…
math.OC2025
On sensitivities regarding shape and topology optimization as derivatives on Wasserstein spaces
Fumiya Okazaki, Takayuki Yamada
In this paper, we apply the framework of optimal transport to the formulation of optimal design problems. By considering the Wasserstein space as a set of design variables, we asso…