33 citations · 58 across the 7 of their papers we have counts for
7 papers
Topology optimization method with nonlinear diffusion
Tomoyuki Oka, Takayuki Yamada
This paper is concerned with topology optimization based on a level set method using (doubly) nonlinear diffusion equations. Topology optimization using the level set method is cal…
Nesterov's acceleration for level set-based topology optimization using reaction-diffusion equations
Tomoyuki Oka, Ryota Misawa, Takayuki Yamada
This paper discusses level set-based structural optimization. Level set-based structural optimization is a method used to determine an optimal configuration for minimizing an objec…
Corrector results for space-time homogenization of nonlinear diffusion
Tomoyuki Oka
The present paper concerns a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main results consis…
Space-time homogenization problems for porous medium equations with nonnegative initial data
Goro Akagi, Tomoyuki Oka
This paper concerns a space-time homogenization limit of nonnegative weak solutions to porous medium equations. In particular, the so-called homogenized matrix will be characterize…
Space-time arithmetic quasi-periodic homogenization for damped wave equations
Tomoyuki Oka
This paper is concerned with space-time homogenization problems for damped wave equations with spatially periodic oscillating elliptic coefficients and temporally (arithmetic) quas…
Space-time homogenization for nonlinear diffusion
Goro Akagi, Tomoyuki Oka
The present paper is concerned with a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main resul…
The homogenization method for topology optimization of structures: old and new
Grégoire Allaire, Lorenzo Cavallina, Nobuhito Miyake +2
These are the lecture notes of a short course on the homogenization method for topology optimization of structures, given by Grégoire Allaire, during the "GSIS International Summer…