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arXiv · 2210.09274

Discretization of the wave equation on a metric graph

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

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.

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Sergei A. Avdonin, Aleksander S. Mikhaylov, Victor S. Mikhaylov, Abdon E. Choque-Rivero. 2022-10-17. Discretization of the wave equation on a metric graph. https://arxiv.org/abs/2210.09274

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