This article is cited in 7 papers

Enhancement of SSOR method efficiency on the base of improved spectral estimations

A. I. Sukhinov, A. V. Shishenya

Taganrog Institute of Technology of the South Federal University

Abstract: The work is dedicated to building of modified SSOR method for finite-difference scheme of three-dimensional elliptical equations with linear source function that takes $n_0(\varepsilon)\cong O\left(1/\root4\of{||h||}\right)$ iterations in case of special limitation on source function is built. In the article $\gamma_1$ parameter estimation was improved by the instrumentality of separate analysis of diagonal component of the matrix, which allows to decrease the amount of iterations twice. Calculations and results of numerical experiments for Dirichlet problem of Poisson equation and Poisson equation with linear source function of $q(x)u(x)$ kind and nonstationary heat equation are given in this paper.

Keywords: numerical methods, iteration method, modified SSOR, Poisson equation.

UDC: 519.6

Received: 12.12.2011

 English version: Mathematical Models and Computer Simulations, 2013, 5:3, 257–265

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