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Numerical identification of distributed controls for the wave equation. (Identifications numériques de contrôles distribués pour l’équation des ondes.) (French. Abridged English version) Zbl 0847.65043

Summary: The problem of the exact controllability of the nonlinear wave equation is, as far as we know, open. In this Note, we present a numerical approach to this problem in 1 and 2 dimensions. The algorithm combines a fixed point technique to the HUM method and allows to control certain sizes of nonlinearities. Besides, we use the tools of this Note for controls that tend to the boundary.

MSC:

65K10 Numerical optimization and variational techniques
93B05 Controllability
35L70 Second-order nonlinear hyperbolic equations
93C20 Control/observation systems governed by partial differential equations
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