文章基本信息

标题：Structure-preserving discretization of port-Hamiltonian plate models ⁎ ⁎
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作者：Andrea Brugnoli ; Daniel Alazard ; Valérie Pommier-Budinger 等
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