The existence of solutions to topology optimization problems

スポンサーリンク

概要

• 論文の詳細を見る

• Topology optimization is to determine a shape or topology, having minimum cost. We are devoted entirely to minimum compliance (maximum stiffness) as minimum cost. An optimal shape $\Omega$ is realized as a distribution of material on a reference domain $D$, strictly larger than $\Omega$ in general. The optimal shape $\Omega$ and an equilibrium $u(\Omega)$ on $\Omega$ are approximated by material distributions on the domain $D$ and equilibriums also on $D$, respectively. This note gives a sufficient setting to the existence of an optimal material distribution.

• The Japan Society for Industrial and Applied Mathematicsの論文

著者

• Kaizu Satoshi

  College of Science and Technology, Nihon University

関連論文

• Regular solution to topology optimization problems of continua
• The existence of solutions to topology optimization problems

スポンサーリンク