論文

査読有り
2015年

SCALABLE REDUCTION OF ELASTIC CONTINUUM FOR BOUNDARY ENERGY CONTROL

SIAM JOURNAL ON CONTROL AND OPTIMIZATION
  • Gou Nishida
  • ,
  • Kenji Fujimoto
  • ,
  • Daiji Ichishima

53
4
開始ページ
2424
終了ページ
2448
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1137/11084529X
出版者・発行元
SIAM PUBLICATIONS

This paper derives a scalable reduction of an elastic continuum for boundary energy control methods in terms of the statistical identification of coarse-grained molecular dynamics. Such an identified molecular dynamics, called renormalized molecular dynamics, is used for fast numerical calculations as well as for modeling large targets, even though the numerical molecular dynamics calculations are very time-consuming. The coarse graining can be described as a parameter scaling in the Hamiltonian system of renormalized molecular dynamics, and thus a renormalized Hamiltonian system can be defined by the scalable Hamiltonian. At the inverse limit of the coarse graining, the renormalized Hamiltonian system can be transformed into a distributed port-Hamiltonian system that is a formal representation of partial differential equations for boundary controls based on energy flows. By introducing the concept of the controls to each coarse graining level, the renormalized Hamiltonian systems can be used as a scalable model for macroscopic boundary controls and microscopic numerical calculations, which we call a renormalized port-Hamiltonian system. A numerical example of elastic continuum mechanics is also presented.

リンク情報
DOI
https://doi.org/10.1137/11084529X
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000360666700027&DestApp=WOS_CPL
ID情報
  • DOI : 10.1137/11084529X
  • ISSN : 0363-0129
  • eISSN : 1095-7138
  • Web of Science ID : WOS:000360666700027

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