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On the interconnection structures of discretized port Hamiltonian systems
Author(s) -
Eberard D.,
Maschke B.M.,
van der Schaft A.J.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700422
Subject(s) - discretization , interconnection , galerkin method , port (circuit theory) , hamiltonian (control theory) , finite element method , mathematics , hamiltonian system , maxwell's equations , generalization , mathematical analysis , computer science , engineering , mathematical optimization , structural engineering , mechanical engineering , telecommunications
For numerical simulation and control design purposes, a mixed‐finite element method [3] preserving the port Hamiltonian structure of the system has been developed [2]. This method was successfully applied for 1D systems. In this paper, we shall suggest some generalization of this result to higher dimensional spatial domain (3D) using Whitney forms as Galerkin base. The discretization procedure is illustrated on Maxwell's equations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)