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NUMERICAL APPROXIMATION OF THE BOUNDARY CONTROL FOR THE WAVE EQUATION WITH MIXED FINITE ELEMENTS IN A SQUARE

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Figure

Figure 1: ω(ξ) with ξ ∈ [0, π/h) 2 and h = 1/21 for the mixed finite element semi-discretization
Figure 2-left depicts the exact and approximate controls V and V h at the point x = (1, 1/2) ∈ ∂Ω,
Figure 2: Left: Exact control V (t, x) (dashed line) and approximate control V h
Figure 3: Controllability of the initial data (7.7) in Ω = (0, 1) 2 : approximations U
+2

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