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Boundary stabilization of numerical approximations of the 1-D variable coefficients wave equation: A numerical viscosity approach
In this paper, we consider the boundary stabilization problem associated to the 1- d wave equation with both variable density and diffusion coefficients and to its finite difference semi-discretizations. It is well-known ...
Uniformly exponentially stable approximations for a class of damped systems
We consider time semi-discrete approximations of a class of exponentially stable infinite-dimensional systems modeling, for instance, damped vibrations. It has recently been proved that for time semi-discrete systems, due ...
Stabilization of the wave equation on 1-D networks
In this paper we study the stabilization of the wa ve equation on general 1-d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ...