Geodesic
Iterative factorization for numerical solution of elliptic equation of the fourth order in rectangular area
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 42-49

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The elliptic equation of the fourth order in rectangular area is considered under mixed boundary conditions. The solution is based on iterative factorization of the operator that is energetically equivalent to the operator of the solved solution. Discretization of initial task is made on the basis of method of final elements, and the precondition is selected on the basis of final differences method, thus the speed of convergence of iterative process doesn't depend on discretization parameters.
Keywords: iterative factorization
Mots-clés : precondition. 
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     title = {Iterative factorization for numerical solution of elliptic equation of the fourth order in rectangular area},
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A. L. Ushakov. Iterative factorization for numerical solution of elliptic equation of the fourth order in rectangular area. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 1, pp. 42-49. http://geodesic.mathdoc.fr/item/VYURM_2014_6_1_a7/