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Numerical null controllability of the 1D heat equation: Carleman weights an duality

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Academic year: 2021

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Figure

Table 2 clearly exhibits the convergence of the variables ˆ p h and ˆ v h as h goes to zero
Figure 1: log 10 kp − p ˆ h k P (?) and log 10 kv − v ˆ h k L 2 (0,T) (◦) vs. log 10 (h).
Table 4: (y 0 , y 1 ) given by (45) and a ≡ 1 - T = 2.2.
Figure 6: (y 0 , y 1 ) given by (45) and a ≡ 1- The solution ˆ p h over Q T (Left) and the corresponding variable ˆv h on (0, T ) (Right) - h = (1/80, 1/80)
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