Asymptotic behavior and numerical simulation by finite difference for the vibration model of a standard linear solid with thermal effect
DOI:
https://doi.org/10.15381/pesquimat.v24i2.21523Keywords:
Energy, semigroup, exponential stability, numerical simulationAbstract
In this work, applying the semigroup theory of linear operators, we study the asymptotic behavior of the solutions of a coupled system that models the vibrations of a standard linear solid with a dissipative thermal effect. In order to verify numerically the established analytical results, a series of numerical simulations are carried out in their one-dimensional form, for which we consider the numerical scheme applying finite differences.
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Copyright (c) 2021 Carlos Javier Romero Figueroa, Andrés Guardia Cayo, Alfonso Pérez Salvatierra
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