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Regularity, Uniqueness and Numerical Experiments for a Relaxed Optimal Design Problem

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Free Boundary Value Problems

Abstract

Let Ω ⊂ IR 2 be given. Two elastic materials with shear moduli µ −11 and µ −12 should be mixed in Ω so as to maximize torsional rigidity of a three-dimensional cylindrical bar with cross-section Ω The area on which each material lives is prescribed but not its shape.

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dedicated to my teacher Prof. H. Grabmüller on the occasion of his 50th birthday

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© 1990 Birkhäuser Verlag Basel

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Kawohl, B. (1990). Regularity, Uniqueness and Numerical Experiments for a Relaxed Optimal Design Problem. In: Hoffmann, KH., Sprekels, J. (eds) Free Boundary Value Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 95. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7301-7_7

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  • DOI: https://doi.org/10.1007/978-3-0348-7301-7_7

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-7643-2474-2

  • Online ISBN: 978-3-0348-7301-7

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