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Numerical analysis of a finite volume method for a 1-D wave equation with non smooth wave speed and localized Kelvin-Voigt damping

arXiv CS Friday 05 June 2026, 04:00 UTC By St\'ephane Gerbi (LAMA), Rayan Nasser (BIU), Ali Wehbe (KALMA) 1 min read
Key Points

arXiv:2502.19947v3 Announce Type: replace-cross Abstract: In this paper, we study the numerical solution of an elastic/viscoelastic wave equation with non smooth wave speed and internal localized distributed Kelvin-Voigt damping acting faraway from the boundary. Our method is based on the Finite Volume Method (FVM) and we are interested in deriving the stability estimates and the convergence of the numerical solution to the continuous one. Numerical experiments are performed to confirm the...

arXiv:2502.19947v3 Announce Type: replace-cross Abstract: In this paper, we study the numerical solution of an elastic/viscoelastic wave equation with non smooth wave speed and internal localized distributed Kelvin-Voigt damping acting faraway from the boundary. Our method is based on the Finite Volume Method (FVM) and we are interested in deriving the stability estimates and the convergence of the numerical solution to the continuous one. Numerical experiments are performed to confirm the theoretical study on the decay rate of the solution to the null one when a localized damping acts.
Kelvin-Voigt (PERSON) the Finite Volume Method (ORG)
Originally published by arXiv CS Read original →

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