Discretization of the Wave Equation on a Metric Graph
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.
Authors
- Sergei Avdonin (ORCID: https://orcid.org/0000-0002-4368-708X)
- Alexander S. Mikhaylov (ORCID: https://orcid.org/0000-0002-0257-496X)
- Abdon E. Choque‐Rivero (ORCID: https://orcid.org/0000-0003-0226-9612)
- Victor Mikhaylov (ORCID: https://orcid.org/0000-0002-4727-2041)
Institutions
- Russian Academy of Sciences (RU)
- University of Alaska Fairbanks (US)
- St Petersburg University (RU)
- Universidad Michoacana de San Nicolás de Hidalgo (MX)
- Steklov Mathematical Institute (RU)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1002/mma.10630
- Primary Topic
- Aquatic and Environmental Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00