Geodesic
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

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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. 
@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},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a10/}
}
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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/