A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach

R.P. Ramkrishna Pasumarthy; Arjan van der Schaft

doi:10.1109/CDC.2006.377022

A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach

R.P. Ramkrishna Pasumarthy
, Arjan van der Schaft

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

9 Citations (Scopus)

196 Downloads (Pure)

Abstract

We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing a infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations.

Original language	Undefined
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control
Place of Publication	USA
Publisher	IEEE
Pages	3984-3989
Number of pages	6
ISBN (Print)	1-4244-0171-2
DOIs	https://doi.org/10.1109/CDC.2006.377022
Publication status	Published - 2006
Event	45th IEEE Conference on Decision and Control, CDC 2006 - San Diego, United States Duration: 13 Dec 2006 → 15 Dec 2006 Conference number: 45

Publication series

Name
Number	1636734 (P
ISSN (Print)	0191-2216

Conference

Conference	45th IEEE Conference on Decision and Control, CDC 2006
Abbreviated title	CDC
Country/Territory	United States
City	San Diego
Period	13/12/06 → 15/12/06

Keywords

EWI-9203
METIS-237952
IR-66917

Access to Document

10.1109/CDC.2006.377022

Cite this

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title = "A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach",

abstract = "We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing a infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations.",

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publisher = "IEEE",

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Ramkrishna Pasumarthy, RP & van der Schaft, A 2006, A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach. in Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, USA, pp. 3984-3989, 45th IEEE Conference on Decision and Control, CDC 2006, San Diego, California, United States, 13/12/06. https://doi.org/10.1109/CDC.2006.377022

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T1 - A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach

AU - Ramkrishna Pasumarthy, R.P.

AU - van der Schaft, Arjan

N1 - Conference code: 45

PY - 2006

Y1 - 2006

N2 - We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing a infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations.

AB - We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure. We here employ the idea where we use different finite elements for the approximation of geometric variables (forms) describing a infinite-dimensional system, to spatially discretize the system and obtain a finite-dimensional port-Hamiltonian system. In particular we take the example of a special case of the shallow water equations.

KW - EWI-9203

KW - METIS-237952

KW - IR-66917

U2 - 10.1109/CDC.2006.377022

DO - 10.1109/CDC.2006.377022

M3 - Conference contribution

SN - 1-4244-0171-2

SP - 3984

EP - 3989

BT - Proceedings of the 45th IEEE Conference on Decision and Control

PB - IEEE

CY - USA

T2 - 45th IEEE Conference on Decision and Control, CDC 2006

Y2 - 13 December 2006 through 15 December 2006

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