Monitoring distributed parameters systems : Numerical methods

Numerical methods
Monitoring distributed parameters systems

Author : Jean-Pierre YVON

Publication date: April 10, 2009 | Lire en français

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6. Numerical methods

6.1 Example of controlling an elliptical problem

Let Ω be the domain of $ℝ^{2}$ shown in the figure 2 whose boundary Γ consists of two parts: the circle Γ₀ and the outer boundary, which itself consists of two parts, Γ₁ and Γ₂. The state of the system is given by:

{\begin{cases} - Δ y = 0, \end{cases}

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Some remarks and conclusion

Published by T.I.

Engineering Techniques

Documentation database "Mathematics for Engineers"

(1) - BARATCHART (L.), BERNARD (P.) - Automatique et systèmes - (1992).
(2) - DOISY (M.) - Distributions. Applications - (2006).
(3) - DEBEAUMARCHÉ (G.) - Introduction...

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Numerical methods Monitoring distributed parameters systems