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Uniform boundary controllability of a discrete 1-D wave equation

✍ Scribed by Mihaela Negreanu; Enrique Zuazua

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
859 KB
Volume
48
Category
Article
ISSN
0167-6911

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✦ Synopsis

A numerical scheme for the controlled discrete 1-D wave equation is considered. We prove the convergence of the boundary controls of the discrete equations to a control of the continuous wave equation when the mesh size tends to zero when time and space steps coincide. This positive result is in contrast with previous negative ones for space semi-discretizations.

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## Communicated by A. Kunoth Based on the local exact boundary controllability for 1-D quasilinear wave equations, the global exact boundary controllability for 1-D quasilinear wave equations in a neighborbood of any connected set of constant equilibria is obtained by an extension method. Similar