A uniformly stable finite difference space semi-discretization for the internal stabilization of the plate equation in a square

Karim Ramdani (1) , Takeo Takahashi (1) , Marius Tucsnak (1)

1 CORIDA - Robust control of infinite dimensional systems and applications

We propose a finite difference space semi-discretization of the stabilized Bernoulli-Euler plate equation in a square. The scheme studied yields a uniform exponential decay rate with respect to the mesh size.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Karim Ramdani, Takeo Takahashi, Marius Tucsnak. A uniformly stable finite difference space semi-discretization for the internal stabilization of the plate equation in a square. ENUMATH 2005 - The 6th European Conference on Numerical Mathematics and Advanced Applications, Jul 2005, Santiago de Compostela, Spain. pp.1068--1076, ⟨10.1007/978-3-540-34288-5_107⟩. ⟨hal-00140479⟩