Convergence of a two-grid algorithm for the control of the wave equation

We analyze the problem of boundary observability of the finite-difference space semi-discretizations of the 2-d wave equation in the square. We prove the uniform (with respect to the mesh-size) boundary observability for the solutions obtained by the two-grid preconditioner introduced by Glowinski \...

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Veröffentlicht in:	Journal of the European Mathematical Society : JEMS 2009-01, Vol.11 (2), p.351-391
Hauptverfasser:	Ignat, Liviu, Zuazua, Enrique
Format:	Artikel
Sprache:	eng
Schlagworte:	control Numerical analysis Partial differential equations Systems theory
Online-Zugang:	Volltext
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