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curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence; shape optimization; weight minimization; finite elements

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References:

[1] I. Hlaváček M. Křížek: **Weight minimization of elastic bodies weakly supporting tension I**. Appl. Math. 37(1992), 201-240. MR 1157456

[2] S. B. Stečkin J. N. Subbotin: **Splajny v vyčisliteľnoj matematike**. Nauka, Moskva, 1976. MR 0455278

[3] I. Hlaváček: **Optimization of the shape of axisymmetric shells**. Apl. Mat. 28 (1983), 269-294. MR 0710176

[4] I. Hlaváček: **Inequalities of Korn's type, uniform with respect to a class of domains**. Apl. Mat. 34 (1989), 105-112. MR 0990298 | Zbl 0673.49003