Curved triangular finite $C^m$-elements

Ženíšek, Alexander. "Curved triangular finite $C^m$-elements." Aplikace matematiky 23.5 (1978): 346-377. <http://eudml.org/doc/15064>.

@article{Ženíšek1978,
abstract = {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.},
author = {Ženíšek, Alexander},
journal = {Aplikace matematiky},
keywords = {generalized Bell’s $C^m$-elements; approximate solution; rate of convergence; generalized Bell's Cm-elements; approximate solution; rate of convergence},
language = {eng},
number = {5},
pages = {346-377},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Curved triangular finite $C^m$-elements},
url = {http://eudml.org/doc/15064},
volume = {23},
year = {1978},
}

TY - JOUR
AU - Ženíšek, Alexander
TI - Curved triangular finite $C^m$-elements
JO - Aplikace matematiky
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 5
SP - 346
EP - 377
AB - 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.
LA - eng
KW - generalized Bell’s $C^m$-elements; approximate solution; rate of convergence; generalized Bell's Cm-elements; approximate solution; rate of convergence
UR - http://eudml.org/doc/15064
ER -