Explicit de-coupled group AOR method for solving elliptic partial differential equations

Authors:
W. S. Yousif;M. Madalena Martins
Affiliations:
Department of Computer Science, Loughborough University, Loughborough, UK;Department of Mathematics, University of Coimbra, Coimbra, Portugal and Instituto de Telecomunicações de Coimbra, University of Coimbra, Coimbra, Portugal
Venue:
Neural, Parallel & Scientific Computations
Year:
2008

Citing 5
Cited 0

Explicit group over-relaxation methods for solving elliptic partial differential equations

Mathematics and Computers in Simulation
Successive overrelaxation (SOR) and related methods

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Computer Methods for Partial Differential Equations: Elliptical Equations and the Finite Element Method

Computer Methods for Partial Differential Equations: Elliptical Equations and the Finite Element Method
Numerical Methods

Numerical Methods
Explicit group AOR method for solving elliptic partial differential equations

Neural, Parallel & Scientific Computations

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Abstract

The explicit group successive overrelaxation (EGSOR) methods which approximates the solution of the sparse linear systems derived from the discretisation of self-adjoint elliptic partial differential equations have been presented (Yousif & Evans, 1986) and it has been shown that these methods are faster and with a smaller computational effort in comparison with the implicit 1-line and 2-line block successive overrelaxation (SOR) iterative methods. Martins, Yousif and Evans (2002) introduced a new explicit 4-point group accelerated overrelaxation (EGAOR) iterative method and made a comparison with the point AOR method for the model problem showing its computational advantages. The aim of this paper is to present an explicit 4-point de-coupled group accelerated overrelaxation iterative (EDGAOR) method and to show that it is faster than the explicit 4-point group accelerated overrelaxation (EGAOR) iterative method.