Basic structure and solutions of PDE-constrained non-parametric optimization problems and its applications to real-world problems
Author:
Affiliation:
1. Nagoya Industrial Science Research Institute
Publisher
Japan Society of Mechanical Engineers
Subject
General Medicine
Link
https://www.jstage.jst.go.jp/article/mej/9/6/9_22-00266/_pdf
Reference74 articles.
1. Allaire, G., Shape Optimization by the Homogenization Method (2002), Springer, DOI: 10.1007/978-1-4684-9286-6.
2. Avellaneda, M., Optimal bounds and microgeometries for elastic two-phase composites, SIAM J. Appl. Math., Vol. 47 (1987), pp. 1216–1228, DOI: 10.1137/0147082.
3. Azegami, H., A solution to domain optimization problems, Transactions of the Japan Society of Mechanical Engineers, Series A, Vol. 60, No. 574 (1994), pp. 1479–1486, DOI: 10.1299/kikaia.60.1479. (in Japanese)
4. Azegami, H., Regularized solution to shape optimization problem, Transactions of the Japan Society for Industrial and Applied Mathematics, Vol. 23, No. 2 (2014), pp. 83–138, DOI: 10.11540/jsiamt.24.2 83. (in Japanese)
5. Azegami, H., Shape Optimization Problems (2020), Springer, DOI: 10.1007/978-981-15-7618-8.
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