Curved triangular finite $C^m$-elements
Applications of Mathematics, Tome 23 (1978) no. 5, pp. 346-377.

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

Curved triangular $C^m$-elements which can be pieced together with the generalized Bell's $C^m$-elements are constructed. They are applied to solving the Dirichlet problem of an elliptic equation of the order $2(m+1)$ in a domain with a smooth boundary by the finite element method. The effect of numerical integration is studied, sufficient conditions for the existence and uniqueness of the approximate solution are presented and the rate of convergence is estimated. The rate of convergence is the same as in the case of polygonal domains when the generalized Bell's $C^m$-elements are used.
DOI : 10.21136/AM.1978.103761
Classification : 35A35, 35J40, 65M99, 65N30, 65N99
Mots-clés : generalized Bell’s $C^m$-elements; approximate solution; rate of convergence 
@article{10_21136_AM_1978_103761,
     author = {\v{Z}en{\'\i}\v{s}ek, Alexander},
     title = {Curved triangular finite $C^m$-elements},
     journal = {Applications of Mathematics},
     pages = {346--377},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1978},
     doi = {10.21136/AM.1978.103761},
     mrnumber = {0502072},
     zbl = {0404.35041},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/}
}
TY  - JOUR
AU  - Ženíšek, Alexander
TI  - Curved triangular finite $C^m$-elements
JO  - Applications of Mathematics
PY  - 1978
SP  - 346
EP  - 377
VL  - 23
IS  - 5
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/
DO  - 10.21136/AM.1978.103761
LA  - en
ID  - 10_21136_AM_1978_103761
ER  - 
%0 Journal Article
%A Ženíšek, Alexander
%T Curved triangular finite $C^m$-elements
%J Applications of Mathematics
%D 1978
%P 346-377
%V 23
%N 5
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/
%R 10.21136/AM.1978.103761
%G en
%F 10_21136_AM_1978_103761
Ženíšek, Alexander. Curved triangular finite $C^m$-elements. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 346-377. doi : 10.21136/AM.1978.103761. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103761/

Cité par Sources :