Grid methods of calculations curvilinear bars
Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 95-104.

Voir la notice de l'article provenant de la source Math-Net.Ru

The grid methods of the decision of nonlinear tasks of a statics and linear tasks of dynamics of curvilinear bars are considered. The methods are based on application of a variational Reissner principle and basic systems of orthogonal finite functions (OFF). The approached decisions of tasks show their fast convergence and satisfactory accuracy both on displacements and on stresses. The advantages of algorithms and computing properties of methods using OFF are marked in comparison with other methods based on mixed variational principles, and in comparison with methods connected with a variational Lagrang principle.
@article{MM_2003_15_10_a8,
     author = {V. L. Leont'ev and A. Yu. Melent'ev},
     title = {Grid methods of calculations curvilinear bars},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--104},
     publisher = {mathdoc},
     volume = {15},
     number = {10},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/}
}
TY  - JOUR
AU  - V. L. Leont'ev
AU  - A. Yu. Melent'ev
TI  - Grid methods of calculations curvilinear bars
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 95
EP  - 104
VL  - 15
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/
LA  - ru
ID  - MM_2003_15_10_a8
ER  - 
%0 Journal Article
%A V. L. Leont'ev
%A A. Yu. Melent'ev
%T Grid methods of calculations curvilinear bars
%J Matematičeskoe modelirovanie
%D 2003
%P 95-104
%V 15
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/
%G ru
%F MM_2003_15_10_a8
V. L. Leont'ev; A. Yu. Melent'ev. Grid methods of calculations curvilinear bars. Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 95-104. http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/

[1] Daubechies I., “Orthonormal bases of compactly supported wavelets”, Comm. on Pure and Applied Math., XLI (1988), 909–996 | DOI | MR

[2] Leontev V. L., Metod konechnykh elementov. Smeshannye variatsionnye formulirovki, Izd-vo Srednevolzhskogo nauchnogo tsentra, Ulyanovsk, 1998

[3] Leontev V. L., Lukashanets N. Ch., “O setochnykh bazisakh ortogonalnykh finitnykh funktsii”, ZhVM i MF, 39:7 (1999), 1158–1168 | MR

[4] Leontev V. L., “Ortogonalnye finitnye funktsii v zadachakh na sobstvennye znacheniya”, ZhVM i MF, 41:6 (2001), 874–880 | MR

[5] Leontev V. L., Melentev A. Yu., “Ortogonalnye finitnye funktsii v variatsionno-setochnykh metodakh teorii krivolineinykh sterzhnei”, Matem. modelirovanie, 14:2 (2002), 39–50 | MR

[6] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, Nauka, M., 2001 | MR | Zbl