Internal finite element approximation in the dual variational method for the biharmonic problem
Applications of Mathematics, Tome 30 (1985) no. 4, pp. 255-273.

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

A conformal finite element method is investigated for a dual variational formulation of the biharmonic problem with mixed boundary conditions on domains with piecewise smooth curved boundary. Thus in the problem of elastic plate the bending moments are calculated directly. For the construction of finite elements a vector potential is used together with $C^0$-elements. The convergence of the method is proved and an algorithm described.
DOI : 10.21136/AM.1985.104149
Classification : 31A30, 35J40, 49D25, 65E05, 65N30, 73K25
Mots-clés : conforming finite element method; dual variational formulation; biharmonic problem; mixed boundary conditions 
@article{10_21136_AM_1985_104149,
     author = {Hlav\'a\v{c}ek, Ivan and K\v{r}{\'\i}\v{z}ek, Michal},
     title = {Internal finite element approximation in the dual variational method for the biharmonic problem},
     journal = {Applications of Mathematics},
     pages = {255--273},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {1985},
     doi = {10.21136/AM.1985.104149},
     mrnumber = {0795986},
     zbl = {0584.65068},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
AU  - Křížek, Michal
TI  - Internal finite element approximation in the dual variational method for the biharmonic problem
JO  - Applications of Mathematics
PY  - 1985
SP  - 255
EP  - 273
VL  - 30
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/
DO  - 10.21136/AM.1985.104149
LA  - en
ID  - 10_21136_AM_1985_104149
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%A Křížek, Michal
%T Internal finite element approximation in the dual variational method for the biharmonic problem
%J Applications of Mathematics
%D 1985
%P 255-273
%V 30
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/
%R 10.21136/AM.1985.104149
%G en
%F 10_21136_AM_1985_104149
Hlaváček, Ivan; Křížek, Michal. Internal finite element approximation in the dual variational method for the biharmonic problem. Applications of Mathematics, Tome 30 (1985) no. 4, pp. 255-273. doi : 10.21136/AM.1985.104149. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104149/

Cité par Sources :