Geodesic
Shape optimization of elastic axisymmetric bodies
Applications of Mathematics, Tome 34 (1989) no. 3, p. 225,226.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The shape of the meridian curve of an elastic body is optimized within a class of Lipschitz functions. Only axisymmetric mixed boundary value problems are considered. Four different cost functionals are used and approximate piecewise linear solutions defined on the basis of a finite element technique. Some convergence and existence results are derived by means of the theory of the appropriate weighted Sobolev spaces.
DOI : 10.21136/AM.1989.104350
Classification : 49A22, 49A36, 49J20, 65N30, 65N99, 73k40, 74P99, 74S30, 93B40
Keywords: shape of the meridian curve; class of Lipschitz functions; axisymmetric mixed boundary value problems; four different cost functionals; approximate piecewise linear solutions; finite element technique; convergence; existence; appropriate weighted Sobolev spaces; axisymmetric elliptic problems; body of revolution; elastic equilibrium 
@article{10_21136_AM_1989_104350,
     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Shape optimization of elastic axisymmetric bodies},
     journal = {Applications of Mathematics},
     pages = {225,226},
     publisher = {mathdoc},
     volume = {34},
     number = {3},
     year = {1989},
     doi = {10.21136/AM.1989.104350},
     mrnumber = {0996898},
     zbl = {0691.73037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104350/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
TI  - Shape optimization of elastic axisymmetric bodies
JO  - Applications of Mathematics
PY  - 1989
SP  - 225,226
VL  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104350/
DO  - 10.21136/AM.1989.104350
LA  - en
ID  - 10_21136_AM_1989_104350
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%T Shape optimization of elastic axisymmetric bodies
%J Applications of Mathematics
%D 1989
%P 225,226
%V 34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104350/
%R 10.21136/AM.1989.104350
%G en
%F 10_21136_AM_1989_104350
Hlaváček, Ivan. Shape optimization of elastic axisymmetric bodies. Applications of Mathematics, Tome 34 (1989) no. 3, p. 225,226. doi : 10.21136/AM.1989.104350. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104350/

Cité par Sources :