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arXiv · 1306.3807

Uniformly polynomially stable approximations for a class of second order evolution equations

Zayd Hajjej
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Abstract

In this paper we study time semi-discrete approximations of a class of polynomially stable infinite dimensional systems modeling the damped vibrations. We prove that adding a suitable numerical viscosity term in the numerical scheme, one obtains approximations that are uniformly polynomially stable with respect to the discretization parameter.

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Zayd Hajjej. 2013-06-17. Uniformly polynomially stable approximations for a class of second order evolution equations. https://arxiv.org/abs/1306.3807

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