Art

J-GLOBAL ID：201102225488593988   Reference number：11A0295480

Regular solution to topology optimization problems of continua

連続体の位相最適化問題の正則解

Author (3)： AZEGAMI Hideyuki (Graduate School of Information Sci., Nagoya Univ.) ,  KAIZU Satoshi (Coll. of Sci. and Technol., Nihon Univ.) ,  TAKEUCHI Kenzen (Quint Corp.)
Material： JSIAM Letters (Web)  (JSIAM Lett (Web))
Volume： 3  Page： 1-4 (J-STAGE)  Publication year： 2011 
JST Material Number： U0115A  ISSN： 1883-0617  Document type： Article
Article type： 短報  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *boundary value problem ,  *partial differential equation ,  optimization problem ,  density functional method ,  cost function ,  derivative ,  Lagrange multipliers ,  numerical solution ,  continuum ,  gradient method ,  Hilbert space ,  *variational method ,  numerical calculation ,  optimum design ,  *topological optimum
Semi thesaurus term： design space ,  design parameter ,  steady state

JST classification (1)： Numerical computation  (JE02000J)

Reference (17)：

• [1] M. P. Bends\oe, Optimization of Structural Topology, Shape, and Material, Springer-Verlag, Berlin, 1995.
• [2] F. Murat, Contre-exemples pour divers problémes ou le contrôle intervient dans les coefficients, Ann. Mat. Pura ed Appl., Serie 4, 112 (1977), 49-68.
• [3] M. P. Bends\oe and N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Meths. Appl. Mech. Engrg., 71 (1988), 197-224.
• [4] K. Suzuki and N. Kikuchi, A homogenization method for shape and topology optimization, Comput. Meths. Appl. Mech. Engrg., 93 (1991), 291-318.
• [5] G. I. N. Rozvany, M. Zhou and T. Birker, Generalized shape optimization without homogenization, Struct. Optim., 4 (1992), 250-254.

Terms in the title (4)： 連続体 ,  位相 ,  最適化問題 ,  解