Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 881-891
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U. Langer. Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 881-891. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a10/
@article{ZVMMF_1983_23_4_a10,
author = {U. Langer},
title = {Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {881--891},
year = {1983},
volume = {23},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a10/}
}
TY - JOUR
AU - U. Langer
TI - Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 881
EP - 891
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a10/
LA - ru
ID - ZVMMF_1983_23_4_a10
ER -
%0 Journal Article
%A U. Langer
%T Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 881-891
%V 23
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a10/
%G ru
%F ZVMMF_1983_23_4_a10
Five-point (in the two-dimehsional case) mesh operators A are constructed, equivalent in spectrum to mesh operators of schemes of the finite element method, for solving elliptic equations of order $2n$, $n\ge1$. An efficient direct method is also developed for solving systems of algebraic equations $Au=f$ with an estimate $O(h^{-2}\ln h^{-1})$ of the number of arithmetic operations, where $h$ is the mesh parameter.
