Geodesic
Shape optimization by means of the penalty method with extrapolation
Applications of Mathematics, Tome 39 (1994) no. 6, pp. 449-477

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

A model shape optimal design in $\mathbb{R}^2$ is solved by means of the penalty method with extrapolation, which enables to obtain high order approximations of both the state function and the boundary flux, thus offering a reliable gradient for the sensitivity analysis. Convergence of the proposed method is proved for certain subsequences of approximate solutions.
DOI : 10.21136/AM.1994.134271
Classification : 49J20, 49M30, 65K10, 65N30
Keywords: shape optimization; penalty method; extrapolation; finite elements 
@article{10_21136_AM_1994_134271,
     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Shape optimization by means of the penalty method with extrapolation},
     journal = {Applications of Mathematics},
     pages = {449--477},
     publisher = {mathdoc},
     volume = {39},
     number = {6},
     year = {1994},
     doi = {10.21136/AM.1994.134271},
     mrnumber = {1298733},
     zbl = {0826.65056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134271/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
TI  - Shape optimization by means of the penalty method with extrapolation
JO  - Applications of Mathematics
PY  - 1994
SP  - 449
EP  - 477
VL  - 39
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134271/
DO  - 10.21136/AM.1994.134271
LA  - en
ID  - 10_21136_AM_1994_134271
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%T Shape optimization by means of the penalty method with extrapolation
%J Applications of Mathematics
%D 1994
%P 449-477
%V 39
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134271/
%R 10.21136/AM.1994.134271
%G en
%F 10_21136_AM_1994_134271
Hlaváček, Ivan. Shape optimization by means of the penalty method with extrapolation. Applications of Mathematics, Tome 39 (1994) no. 6, pp. 449-477. doi: 10.21136/AM.1994.134271

Cité par Sources :