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Daňková, Jana ; Haslinger, Jaroslav
Numerical realization of a fictitious domain approach used in shape optimization. Part I: Distributed controls. (English). Applications of Mathematics, vol. 41 (1996), issue 2, pp. 123-147
MSC: 49A22, 49D30, 49J20, 49M30, 49Q10 | MR 1373477 | Zbl 0854.49004 | DOI: 10.21136/AM.1996.134317
Keywords:
shape optimization; fictitious domain approach
Summary:
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.
References:
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