This article is cited in 3 papers

Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$

U. Langer

Leningrad

Abstract: 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.

UDC: 519.632

MSC: Primary 65N30; Secondary 65N22, 65F10, 35J40

Received: 11.12.1980
Revised: 03.07.1981

 English version: USSR Computational Mathematics and Mathematical Physics, 1983, 23:4, 69–76

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