Abstract
A large number of optimum shape designs can be expressed or approximated in terms of the optimal control of distributed systems (see, for example, [47], [29]).
We give three examples of this type and use these examples as an opportunity to review the techniques of optimal control developed in [40]. This approach ought to be well understood before proceeding to the general case where the control is looked at as a geometric element of the system. For further details and examples, the reader is referred to [40].
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© 1984 Springer-Verlag New York Inc.
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Pironneau, O. (1984). Design Problems Solved by Standard Optimal Control Theory. In: Optimal Shape Design for Elliptic Systems. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87722-3_5
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DOI: https://doi.org/10.1007/978-3-642-87722-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87724-7
Online ISBN: 978-3-642-87722-3
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