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标题：Partitioned finite element method for structured discretization with mixed boundary conditions ⁎
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作者：Andrea Brugnoli ; Flávio Luiz Cardoso-Ribeiro ; Ghislain Haine 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：7557-7562
DOI：10.1016/j.ifacol.2020.12.1351
语种：English
出版社：Elsevier
摘要：AbstractThe propagation of acoustic waves in a 2D geometrical domain under mixed boundary control is here described by means of the port-Hamiltonian (pH) formalism. A finite element based method is employed to obtain a consistently discretized model. To construct a model with mixed boundary control, two different methodologies are detailed: one employs Lagrange multipliers, the other relies on a virtual domain decomposition to interconnect models with different causalities. The two approaches are assessed numerically, by comparing the Hamiltonian and the state variables norm for progressively refined meshes.
关键词：KeywordsAeroacousticsport-Hamiltonian systems (pHs)Partitioned Finite Element Method (PFEM)Mixed Boundary Control