Extrapolated alternating direction implicit iterative methods

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1970 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 10, pages 465-475 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Hadjidimos, Apostolos;

doi: 10.1007/bf01935566

Extrapolated alternating direction implicit iterative methods

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Abstract

This paper describes a new generalised (extrapolated) A.D.I. method for the solution of Laplace's equation. This method uses (i) a fixed acceleration parameter and (ii) the set of acceleration parameters of Douglas. The theory is applied to the 2-dimensional case and optimum numerical results are obtained.

Related Organizations

University of Ulster
United Kingdom

Keywords

Stability and convergence of numerical methods for boundary value problems involving PDEs

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