Geodesic
On an interaction of two elastic bodies: analysis and algorithms
Applications of Mathematics, Tome 57 (2012) no. 4, pp. 333-357

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

The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.
DOI : 10.1007/s10492-012-0020-0
Classification : 65L10, 74B99, 74K10, 74M20, 74S05
Keywords: obstacle problem; variational formulation; semi-coercive problem; finite elements; semismooth Newton method; method of successive approximations 
@article{10_1007_s10492_012_0020_0,
     author = {Svobodov\'a, Ivona},
     title = {On an interaction of two elastic bodies: analysis and algorithms},
     journal = {Applications of Mathematics},
     pages = {333--357},
     publisher = {mathdoc},
     volume = {57},
     number = {4},
     year = {2012},
     doi = {10.1007/s10492-012-0020-0},
     mrnumber = {2984607},
     zbl = {1265.74053},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0020-0/}
}
TY  - JOUR
AU  - Svobodová, Ivona
TI  - On an interaction of two elastic bodies: analysis and algorithms
JO  - Applications of Mathematics
PY  - 2012
SP  - 333
EP  - 357
VL  - 57
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0020-0/
DO  - 10.1007/s10492-012-0020-0
LA  - en
ID  - 10_1007_s10492_012_0020_0
ER  - 
%0 Journal Article
%A Svobodová, Ivona
%T On an interaction of two elastic bodies: analysis and algorithms
%J Applications of Mathematics
%D 2012
%P 333-357
%V 57
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0020-0/
%R 10.1007/s10492-012-0020-0
%G en
%F 10_1007_s10492_012_0020_0
Svobodová, Ivona. On an interaction of two elastic bodies: analysis and algorithms. Applications of Mathematics, Tome 57 (2012) no. 4, pp. 333-357. doi: 10.1007/s10492-012-0020-0

Cité par Sources :