2 papers
math.AP2025
Approximation in an optimal design problem governed by the heat equation
Kei Matsushima, Tomoyuki Oka
This paper studies a two-material optimal design problem for the time-averaged duality pairing between a (possibly time-dependent) heat source and the weak solution of an initial-b…
math.AP2024
Optimal design problem with thermal radiation
Kosuke Kita, Kei Matsushima, Tomoyuki Oka
This paper is concerned with configurations of two-material thermal conductors that minimize the Dirichlet energy for steady-state diffusion equations with nonlinear boundary condi…