Fictitious Domain Methods in Shape Optimization with Applications in Free-Boundary Problems

Jaroslav Haslinger (), Tomáš Kozubek (), Karl Kunisch () and Günter Peichl ()
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Jaroslav Haslinger: Charles University
Tomáš Kozubek: Technical University of Ostrava
Karl Kunisch: University of Graz
Günter Peichl: University of Graz

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 56-75 from Springer

Abstract: Summary This paper deals with a class of 2D shape optimization problems with a ‘flux’ cost functional and a fictitious domain formulation of state constraints. These constraints are given by nonhomogeneous Dirichlet boundary problems in bounded, doubly connected domains. This approach is used for the numerical realization of free-boundary problems of Bernoulli type.

Keywords: Shape Optimization Problem; Admissible Domain; Fictitious Domain; Cost Functional; Existence Analysis (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_4

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DOI: 10.1007/978-3-642-18775-9_4

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