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Title: Explicit group USSOR method for solving elliptic partial differential equations
Authors: Yousif, Wadalla S.
Santos, J.L.
Martins, M.M.
Keywords: USSOR method
Elliptic partial differential equation
Group iterative methods
Five-point approximation scheme
Laplace’s equation
Issue Date: 2013
Publisher: Dynamic Publisher, Inc
Citation: YOUSIF, W.S., SANTOS, J.L. and MARTINS, M.M., 2013. Explicit group USSOR method for solving elliptic partial differential equations. Neural, Parallel and Scientific Computations, 21 (2), pp.279-292.
Abstract: This paper presents a new 4-points Explicit Group Unsymmetric Successive Overrelaxation (USSOR) iterative method to approximate the solution of the linear systems derived from the discretisation of self-adjoint elliptic partial equations. Several studies have been carried out by many researchers on the USSOR iterative method, for example, the analysis of its convergence [1], an upper bound for its error [2] and recently a special case of the USSOR, namely the SSOR method has been used to approximate the solution of augmented systems [4] and [8]. The computational behaviour of this new method and a comparison with its point version is presented.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/14801
Publisher Link: http://www.dynamicpublishers.com/Neural/npsccontent.htm
ISSN: 1061-5369
Appears in Collections:Published Articles (Computer Science)

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