Geodesic
Some methods of solving the first boundary value problem for the biharmonic difference equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097 Cet article a éte moissonné depuis la source Math-Net.Ru

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An iterative method is given for solving the Dirichlet problem for the biharwonic difference equation in a rectangular domain requiring $O(h^{-2}\ln\varepsilon^{-1})$ arithmetic operations. In the case of a circular domain, a direct method is discribed, requiring $O(h^{-2}\ln h^{-1})$ operations. 
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     author = {M. M. Karchevskii},
     title = {Some methods of solving the first boundary value problem for the biharmonic difference equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1088--1097},
     year = {1983},
     volume = {23},
     number = {5},
     language = {ru},
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}
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M. M. Karchevskii. Some methods of solving the first boundary value problem for the biharmonic difference equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1088-1097. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a5/