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  • 标题:Structure-preserving discretization of port-Hamiltonian plate models ⁎ ⁎
  • 本地全文:下载
  • 作者:Andrea Brugnoli ; Daniel Alazard ; Valérie Pommier-Budinger
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2021
  • 卷号:54
  • 期号:9
  • 页码:359-364
  • DOI:10.1016/j.ifacol.2021.06.094
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractMethods for discretizing port-Hamiltonian systems are of interest both for simulation and control purposes. Despite the large literature on mixed finite elements, no rigorous analysis of the connections between mixed elements and port-Hamiltonian systems has been carried out. In this paper we demonstrate how existing methods can be employed to discretize dynamical plate problems in a structure-preserving way. Based on convergence results of existing schemes, new error estimates are conjectured; numerical simulations confirm the expected behaviors.
  • 关键词:KeywordsPort-Hamiltonian systemsKirchhoff PlateMindlin-Reissner PlateMixed Finite Element MethodNumerical convergence
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