期刊
IFAC PAPERSONLINE
卷 51, 期 2, 页码 571-576出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ifacol.2018.03.096
关键词
Distributed port-Hamiltonian systems; staggered grids; finite difference method; wave equation; heat equation
资金
- Labex ACTION [ANR-11-LABX-01-]
This paper proposes a finite difference spatial discretization that preserves the geometrical structure, i.e. the Dirac structure, underlying 2D heat and wave equations in cylindrical coordinates. These equations are shown to rely on Dirac structures for a particular set of boundary conditions. The discretization is completed with time integration based on Stormer-Verlet method. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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