Geodesic
Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of Winkler's type
Applications of Mathematics, Tome 55 (2010) no. 2, pp. 151-187.

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

A non-linear semi-coercive beam problem is solved in this article. Suitable numerical methods are presented and their uniform convergence properties with respect to the finite element discretization parameter are proved here. The methods are based on the minimization of the total energy functional, where the descent directions of the functional are searched by solving the linear problems with a beam on bilateral elastic ``springs''. The influence of external loads on the convergence properties is also investigated. The effectiveness of the algorithms is illustrated on numerical examples.
DOI : 10.1007/s10492-010-0006-8
Classification : 65K10, 74B20, 74G65, 74K10, 90C20, 90C31, 90C90
Keywords: non-linear subsoil of Winkler's type; semi-coercive beam problem; approximation; iterative methods; convergence; projection; load stability 
@article{10_1007_s10492_010_0006_8,
     author = {Sysala, Stanislav},
     title = {Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of {Winkler's} type},
     journal = {Applications of Mathematics},
     pages = {151--187},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2010},
     doi = {10.1007/s10492-010-0006-8},
     mrnumber = {2600940},
     zbl = {1224.74011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0006-8/}
}
TY  - JOUR
AU  - Sysala, Stanislav
TI  - Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of Winkler's type
JO  - Applications of Mathematics
PY  - 2010
SP  - 151
EP  - 187
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0006-8/
DO  - 10.1007/s10492-010-0006-8
LA  - en
ID  - 10_1007_s10492_010_0006_8
ER  - 
%0 Journal Article
%A Sysala, Stanislav
%T Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of Winkler's type
%J Applications of Mathematics
%D 2010
%P 151-187
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0006-8/
%R 10.1007/s10492-010-0006-8
%G en
%F 10_1007_s10492_010_0006_8
Sysala, Stanislav. Numerical modelling of semi-coercive beam problem with unilateral elastic subsoil of Winkler's type. Applications of Mathematics, Tome 55 (2010) no. 2, pp. 151-187. doi : 10.1007/s10492-010-0006-8. http://geodesic.mathdoc.fr/articles/10.1007/s10492-010-0006-8/

Cité par Sources :