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arXiv:2210.09274 [math.OC]AbstractReferencesReviewsResources

Discretization of the wave equation on a metric graph

Sergei A. Avdonin, Aleksander S. Mikhaylov, Victor S. Mikhaylov, Abdon E. Choque-Rivero

Published 2022-10-17Version 1

The question of what conditions should be set at the nodes of a discrete graph for the wave equation with discrete time is investigated. The variational method for the derivation of these conditions is used. A parallel with the continuous case is also drawn. As an example the problem of shape controllability from the boundary is studied.

Comments: 15 pages, 2 figures
Categories: math.OC
Subjects: 35L05, 35Q93, 93B05, 93C20, 37M15, 37J51
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