Geodesic
Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 205-213

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

The iterative algorithm for the numerical solution of the biharmonic equation with the first kind boundary conditions (a clamped plate) is investigated. At every step of this iterative method it is necessary to solve two Dirichlet problems for Poisson's equation. Constants of energy equivalence for the optimization of the iterative method have been obtained. 
@article{SJVM_2011_14_2_a6,
     author = {S. B. Sorokin},
     title = {Preconditioning in the numerical solution of {Dirichlet} problem for the biharmonic equation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {205--213},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a6/}
}
TY  - JOUR
AU  - S. B. Sorokin
TI  - Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2011
SP  - 205
EP  - 213
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a6/
LA  - ru
ID  - SJVM_2011_14_2_a6
ER  - 
%0 Journal Article
%A S. B. Sorokin
%T Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2011
%P 205-213
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a6/
%G ru
%F SJVM_2011_14_2_a6
S. B. Sorokin. Preconditioning in the numerical solution of Dirichlet problem for the biharmonic equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 2, pp. 205-213. http://geodesic.mathdoc.fr/item/SJVM_2011_14_2_a6/