The wave equation as a port-Hamiltonian system and a finite-dimensional approximation

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Talasila, V. and Golo, G. and Schaft van der, A.J. (2002) The wave equation as a port-Hamiltonian system and a finite-dimensional approximation. In: 15th International Symposium on Mathematical Theory of Networks and Systems, MTNS, 12-16 August 2002, South Bend, Indiana, USA.

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Abstract:The problem of approximating a distributed parameter system with free boundary conditions is solved for the 2-dimensional wave equation. To this end we first model the wave equation as a distributed-parameter port-Hamiltonian system. Then we employ the idea that it is natural to use different finite elements for the approximation of di?erent geometric variables (forms) describing a distributed-parameter system, to spatially discretize the system and we show that we obtain a ?nite-dimensional port-Hamiltonian system, which also preserves the conservation laws.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/69144
Official URL:http://www.nd.edu/~mtns/papers/1182.pdf
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