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Explicit group USSOR method for solving elliptic partial differential equations

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journal contribution
posted on 09.06.2014 by Waad Yousif, J.L. Santos, M.M. Martins
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.

History

School

  • Science

Department

  • Computer Science

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.

Publisher

Dynamic Publisher, Inc

Version

AM (Accepted Manuscript)

Publication date

2013

ISSN

1061-5369

Language

en

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