On numerical solution of a variational inequality of the 4th order by finite element method
Applications of Mathematics, Tome 23 (1978) no. 5, pp. 334-345.

Voir la notice de l'article dans Czech Digital Mathematics Library

The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.
DOI : 10.21136/AM.1978.103760
Classification : 31A30, 35J20, 49A29, 65K05, 65N30, 73K10, 74K20, 74S05, 74S30, 90C20
Mots-clés : quadratic programming; elastic clamped plate; algorithm; energy functional; convergence; minimization problem; numerical solution; finite element method
@article{10_21136_AM_1978_103760,
     author = {Haslinger, Jaroslav},
     title = {On numerical solution of a variational inequality of the 4th order by finite element method},
     journal = {Applications of Mathematics},
     pages = {334--345},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1978},
     doi = {10.21136/AM.1978.103760},
     mrnumber = {0502470},
     zbl = {0399.65084},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/}
}
TY  - JOUR
AU  - Haslinger, Jaroslav
TI  - On numerical solution of a variational inequality of the 4th order by finite element method
JO  - Applications of Mathematics
PY  - 1978
SP  - 334
EP  - 345
VL  - 23
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/
DO  - 10.21136/AM.1978.103760
LA  - en
ID  - 10_21136_AM_1978_103760
ER  - 
%0 Journal Article
%A Haslinger, Jaroslav
%T On numerical solution of a variational inequality of the 4th order by finite element method
%J Applications of Mathematics
%D 1978
%P 334-345
%V 23
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/
%R 10.21136/AM.1978.103760
%G en
%F 10_21136_AM_1978_103760
Haslinger, Jaroslav. On numerical solution of a variational inequality of the 4th order by finite element method. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 334-345. doi : 10.21136/AM.1978.103760. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/

Cité par Sources :