The Homogenization Method for Topology Optimization of Structures: Old and New-Reference-Cited by-同舟云学术

The Homogenization Method for Topology Optimization of Structures: Old and New

Published:2019 Issue:2 Volume:25 Page:75-146
ISSN:1340-9050
Container-title:Interdisciplinary Information Sciences
language:en
Short-container-title:IIS

Author:

ALLAIRE Grégoire¹,CAVALLINA Lorenzo²,MIYAKE Nobuhito³,OKA Tomoyuki³,YACHIMURA Toshiaki²

Affiliation:

1. CMAP, Ecole Polytechnique

2. RCPAM, Graduate School of Information Sciences, Tohoku University

3. Mathematical Institute, Tohoku University

Publisher

Graduate School of Information Sciences, Tohoku University

Subject

General Medicine

Link

https://www.jstage.jst.go.jp/article/iis/25/2/25_2019.B.01/_pdf

Reference37 articles.

1. 1) Allaire, G., ``Homogenization and two-scale convergence,'' SIAM J. Math. Anal., 23: 1482-1518 (1992).

2. 2) Allaire, G., Shape Optimization by the Homogenization Method, Vol. 146 of Applied Mathematical Sciences, Springer-Verlag, New York (2002).

3. 3) Allaire, G., Conception Optimale de Structures, Vol. 58 of Mathématiques et Applications, Springer, Heidelberg (2007).

4. 4) Allaire, G., Numerical Analysis and Optimization. An Introduction to Mathematical Modelling and Numerical Simulation. Translated from the French by Alan Craig, Numer. Math. Sci. Comput., Oxford University Press, Oxford, UK (2007).

5. 5) Allaire, G., Geoffroy-Donders, P., and Pantz, O., Topology Optimization of Modulated and Oriented Periodic Microstructures by the Homogenization Method, Computers & Mathematics with Applications, special issue SimAM (2019).

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