Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct

DOI10.1016/j.jcp.2018.06.051zbMath1416.65284OpenAlexW2809788631MaRDI QIDQ2311649

Vincent Trenchant, Yann Le Gorrec, Paul Kotyczka, Hector Ramirez

Publication date: 4 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.051

zbMATH Keywords

wave equationfinite difference methodstaggered gridsdistributed port-Hamiltonian systemsstructured meshmidpoint rule

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05) Other variational principles in mechanics (70H30)

Related Items

Stabilization of a class of mixed ODE-PDE port-Hamiltonian systems with strong dissipation feedback, Numerical Analysis of a Structure-Preserving Space-Discretization for an Anisotropic and Heterogeneous Boundary Controlled $N$-Dimensional Wave Equation As a Port-Hamiltonian System, Observer-based boundary control of distributed port-Hamiltonian systems, Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus

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