Geodesic
Numerical schemes of the support operators method for elasticity theory equations
Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 86-96 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper there are considered steady-state equations of linear elasticity theory, for which a family of difference schemes based on support-operators method is constructed. The scalar product in the space of tensor mesh functions, strain tensor component, is selected according to the energy of deformed body. On the unstructured grids there are constructed and analyzed invariant to rotations difference schemes based on support-operators method for the elasticity theory equations in the shifts. The convergence of these schemes to the first order in the mean-square sense for the symmetrized displacement tensor components is proved.
Keywords: difference schemes, support-operators method, elasticity theory equations. 
@article{MM_2012_24_12_a14,
     author = {A. V. Koldoba and Yu. A. Poveshchenko and I. V. Gasilova and E. Yu. Dorofeeva},
     title = {Numerical schemes of the support operators method for elasticity theory equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {86--96},
     year = {2012},
     volume = {24},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_12_a14/}
}
TY  - JOUR
AU  - A. V. Koldoba
AU  - Yu. A. Poveshchenko
AU  - I. V. Gasilova
AU  - E. Yu. Dorofeeva
TI  - Numerical schemes of the support operators method for elasticity theory equations
JO  - Matematičeskoe modelirovanie
PY  - 2012
SP  - 86
EP  - 96
VL  - 24
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/MM_2012_24_12_a14/
LA  - ru
ID  - MM_2012_24_12_a14
ER  - 
%0 Journal Article
%A A. V. Koldoba
%A Yu. A. Poveshchenko
%A I. V. Gasilova
%A E. Yu. Dorofeeva
%T Numerical schemes of the support operators method for elasticity theory equations
%J Matematičeskoe modelirovanie
%D 2012
%P 86-96
%V 24
%N 12
%U http://geodesic.mathdoc.fr/item/MM_2012_24_12_a14/
%G ru
%F MM_2012_24_12_a14
A. V. Koldoba; Yu. A. Poveshchenko; I. V. Gasilova; E. Yu. Dorofeeva. Numerical schemes of the support operators method for elasticity theory equations. Matematičeskoe modelirovanie, Tome 24 (2012) no. 12, pp. 86-96. http://geodesic.mathdoc.fr/item/MM_2012_24_12_a14/

[1] Landau L. D., Lifshits E. M., Teoriya uprugosti, Nauka, Moskva, 1987 | MR | Zbl

[2] Faddeev D. K., Bylikh B. Z., Uraltseva N. N., Izbrannye glavy analiza i vysshei algebry, Izd. LGU, Leningrad, 1981 | Zbl

[3] Samarskii A. A., Koldoba A. V., Poveschenko Yu. A., Tishkin V. F., Favorskii A. P., Raznostnye skhemy na neregulyarnykh setkakh, Minsk, 1996