Parallel Difference Method for Poisson Equations
Qinghua Feng · ASME Press eBooks · 2009
In this paper, based on the nine point implicit difference scheme we present a class of alternating group explicit (AGE) iterative method of order four accurate for poisson equations. Also convergence analysis is given. The method has the property of intrinsic parallelism and group explicit computation. In order to verify the AGE method we give several numerical examples. Comparison of the AGE iterative method with nine point implicit scheme show that the method is of nearly the same accuracy with the nine point implicit scheme, and the AGE method can shorten the running time clearly.