Geodesic
Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 267-274

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

An iterative algorithm with an efficient preconditioner for the numerical solution of an elastic problem in approximation of plate theory with mixed boundary conditions is proposed and substantiated. Exact constants of energy equivalence for optimization of iteration method are obtained. Inversion of the preconditioner is equivalent to the double inversion of a discrete analog of the Laplace operator with the Dirichlet boundary conditions. 
@article{SJVM_2013_16_3_a6,
     author = {S. B. Sorokin},
     title = {Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {267--274},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a6/}
}
TY  - JOUR
AU  - S. B. Sorokin
TI  - Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2013
SP  - 267
EP  - 274
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a6/
LA  - ru
ID  - SJVM_2013_16_3_a6
ER  - 
%0 Journal Article
%A S. B. Sorokin
%T Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2013
%P 267-274
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a6/
%G ru
%F SJVM_2013_16_3_a6
S. B. Sorokin. Analytical solution of generalized spectral problem in the method of recalculating boundary conditions for a~biharmonic equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 267-274. http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a6/