Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides

Hlaváček, Ivan, and Křížek, Michal. "Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides." Applications of Mathematics 37.4 (1992): 289-312. <http://eudml.org/doc/15717>.

@article{Hlaváček1992,
abstract = {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.},
author = {Hlaváček, Ivan, Křížek, Michal},
journal = {Applications of Mathematics},
keywords = {curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence; shape optimization; weight minimization; finite elements; curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence},
language = {eng},
number = {4},
pages = {289-312},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides},
url = {http://eudml.org/doc/15717},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Hlaváček, Ivan
AU - Křížek, Michal
TI - Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 4
SP - 289
EP - 312
AB - 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.
LA - eng
KW - curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence; shape optimization; weight minimization; finite elements; curved trapezoids; penalty method; hydrostatic pressure; cubic Hermite splines; piecewise linear finite elements; existence; convergence
UR - http://eudml.org/doc/15717
ER -