Extending the results of the previous paper [1], the authors consider elastic bodies with two design variables, i.e. "curved trapezoids" with two curved variable sides. The left side is loaded by a hydrostatic pressure. Approximations of the boundary are defined by cubic Hermite splines and piecewise linear finite elements are used for the displacements. Both existence and some convergence analysis is presented for approximate penalized optimal design problems.
@article{104511,
author = {Ivan Hlav\'a\v cek and Michal K\v r\'\i \v zek},
title = {Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides},
journal = {Applications of Mathematics},
volume = {37},
year = {1992},
pages = {289-312},
zbl = {0767.73048},
mrnumber = {1180607},
language = {en},
url = {http://dml.mathdoc.fr/item/104511}
}
Hlaváček, Ivan; Křížek, Michal. Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides. Applications of Mathematics, Tome 37 (1992) pp. 289-312. http://gdmltest.u-ga.fr/item/104511/
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