Geodesic
Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls
Applications of Mathematics, Tome 41 (1996) no. 2, pp. 123-147.

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We deal with practical aspects of an approach to the numerical realization of optimal shape design problems, which is based on a combination of the fictitious domain method with the optimal control approach. Introducing a new control variable in the right-hand side of the state problem, the original problem is transformed into a new one, where all the calculations are performed on a fixed domain. Some model examples are presented.
DOI : 10.21136/AM.1996.134317
Classification : 49A22, 49D30, 49J20, 49M30, 49Q10
Keywords: shape optimization; fictitious domain approach 
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     title = {Numerical realization of a fictitious domain approach used in shape optimization. {Part} {I:} {Distributed} controls},
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Daňková, Jana; Haslinger, Jaroslav. Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls. Applications of Mathematics, Tome 41 (1996) no. 2, pp. 123-147. doi : 10.21136/AM.1996.134317. http://geodesic.mathdoc.fr/articles/10.21136/AM.1996.134317/

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