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We propose a finite difference semi-discrete scheme for the approximation of the boundary exact controllability problem of the 1-D beam equation modelling the transversal vibrations of a beam with fixed ends. First of all we show that, due to the high frequency spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the natural functional setting. We then prove that there are two ways of restoring the uniform controllability...
We propose a finite difference semi-discrete scheme for the
approximation of the boundary exact controllability problem of
the 1-D beam equation modelling the transversal vibrations
of a beam with fixed ends.
First of all we show that, due to the high frequency spurious
oscillations, the uniform (with respect to the mesh-size)
controllability property of the semi-discrete model fails in the
natural functional setting.
We then prove that there are two ways of restoring the uniform
controllability...
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