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Optimization problems for thin elastic structures. (English) Zbl 1197.49047

Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 255-273 (2009).
Summary: We discuss shape optimization problems and variational methods for fundamental mechanical structures like beams, plates, arches, curved rods, and shells.
For the entire collection see [Zbl 1182.49002].

MSC:

49Q10 Optimization of shapes other than minimal surfaces
35J87 Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators
35J20 Variational methods for second-order elliptic equations
70Q05 Control of mechanical systems