Abstract
In this chapter two different methods are presented for the computation of optimality conditions with respect to the domain: the method of mappings [50], [61] and the method of characteristic functions [18], [63]. These methods lead naturally to numerical algorithms using the finite difference method. Thus, finite difference solutions of shape design problems as studied in [18], [48], [35] are also presented here. Finally, we also analyze the feasibility of the boundary element method.
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© 1984 Springer-Verlag New York Inc.
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Pironneau, O. (1984). Other Methods. 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_8
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DOI: https://doi.org/10.1007/978-3-642-87722-3_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87724-7
Online ISBN: 978-3-642-87722-3
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