A mixed finite element method for plate bending with a unilateral inner obstacle
Applications of Mathematics, Tome 39 (1994) no. 1, pp. 25-44.

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

A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and some convergence analysis is presented.
DOI : 10.21136/AM.1994.134241
Classification : 49D29, 65N30, 73K10, 74S05
Mots-clés : unilateral plate problem; inner obstacle; mixed finite elements; Herrmann-Johnson mixed model; fourth order variational inequality 
@article{10_21136_AM_1994_134241,
     author = {Hlav\'a\v{c}ek, Ivan},
     title = {A mixed finite element method for plate bending with a unilateral inner obstacle},
     journal = {Applications of Mathematics},
     pages = {25--44},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {1994},
     doi = {10.21136/AM.1994.134241},
     mrnumber = {1254745},
     zbl = {0796.73062},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134241/}
}
TY  - JOUR
AU  - Hlaváček, Ivan
TI  - A mixed finite element method for plate bending with a unilateral inner obstacle
JO  - Applications of Mathematics
PY  - 1994
SP  - 25
EP  - 44
VL  - 39
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134241/
DO  - 10.21136/AM.1994.134241
LA  - en
ID  - 10_21136_AM_1994_134241
ER  - 
%0 Journal Article
%A Hlaváček, Ivan
%T A mixed finite element method for plate bending with a unilateral inner obstacle
%J Applications of Mathematics
%D 1994
%P 25-44
%V 39
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134241/
%R 10.21136/AM.1994.134241
%G en
%F 10_21136_AM_1994_134241
Hlaváček, Ivan. A mixed finite element method for plate bending with a unilateral inner obstacle. Applications of Mathematics, Tome 39 (1994) no. 1, pp. 25-44. doi : 10.21136/AM.1994.134241. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134241/

Cité par Sources :