Explicit de-coupled group AOR method for solving elliptic partial differential equations
W.S. Yousif, M. Madalena Martins · Neural, Parallel & Scientific Computations archive · 2008
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.