A mixed finite element method close to the equilibrium model applied to plane elastostatics
Applications of Mathematics, Tome 21 (1976) no. 1, pp. 28-42.

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

A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform. The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress.
DOI : 10.21136/AM.1976.103620
Classification : 35A35, 35J20, 35Q99, 65N30, 74B99, 74H99
@article{10_21136_AM_1976_103620,
     author = {Haslinger, Jaroslav and Hlav\'a\v{c}ek, Ivan},
     title = {A mixed finite element method close to the equilibrium model applied to plane elastostatics},
     journal = {Applications of Mathematics},
     pages = {28--42},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1976},
     doi = {10.21136/AM.1976.103620},
     mrnumber = {0391539},
     zbl = {0355.65087},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103620/}
}
TY  - JOUR
AU  - Haslinger, Jaroslav
AU  - Hlaváček, Ivan
TI  - A mixed finite element method close to the equilibrium model applied to plane elastostatics
JO  - Applications of Mathematics
PY  - 1976
SP  - 28
EP  - 42
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103620/
DO  - 10.21136/AM.1976.103620
LA  - en
ID  - 10_21136_AM_1976_103620
ER  - 
%0 Journal Article
%A Haslinger, Jaroslav
%A Hlaváček, Ivan
%T A mixed finite element method close to the equilibrium model applied to plane elastostatics
%J Applications of Mathematics
%D 1976
%P 28-42
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103620/
%R 10.21136/AM.1976.103620
%G en
%F 10_21136_AM_1976_103620
Haslinger, Jaroslav; Hlaváček, Ivan. A mixed finite element method close to the equilibrium model applied to plane elastostatics. Applications of Mathematics, Tome 21 (1976) no. 1, pp. 28-42. doi : 10.21136/AM.1976.103620. http://geodesic.mathdoc.fr/articles/10.21136/AM.1976.103620/

Cité par Sources :