Title: Fast relaxation method for solving the difference problem for the poisson equation on a sequence of grids
Abstract: A method for accelarating the convergence of iterative processes on a sequence of grids is proposed, which makes use of the decomposition of the difference solution into powers of the discretization step. Approximation solutions from a number of auxiliary grids are extrapolated to the exact solution on the finest grid. In the case of a difference problem for the Poisson equation the error of such extrapolation on the last grid is quickly suppressed by simple iterations due to some smoothness properties of the difference-operator eigenfunctions. The results of numerical experiments are presented which illustrate the high efficiency of the proposed method for solution of the given problem.
Publication Year: 1983
Publication Date: 1983-04-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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