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Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping

โœ Scribed by Smyshlyaev, Andrey; Cerpa, Eduardo; Krstic, Miroslav


Book ID
118204887
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
225 KB
Volume
48
Category
Article
ISSN
0363-0129

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Uniform boundary controllability of a di
โœ Mihaela Negreanu; Enrique Zuazua ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 859 KB

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 con