Uniformly polynomially stable approximations for a class of second order evolution equations
Optimization and Control
2013-06-18 v1
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.
Cite
@article{arxiv.1306.3807,
title = {Uniformly polynomially stable approximations for a class of second order evolution equations},
author = {Zayd Hajjej},
journal= {arXiv preprint arXiv:1306.3807},
year = {2013}
}