Experiments with iterative methods for solving the discrete Poisson equation

Koninklijk Nederlands Meteorologisch Instituut, Machinale Bewerking Waarnemingen, S.J. Bijlsma and R.J. Hoogendoorn
De Bilt : Koninklijk Nederlands Meteorologisch Instituut (KNMI)

KNMIAUT79 After the development of well-know iterative methods for solving systems of linear equations resulting from the finite difference approximations to elliptic partial differential equations the last decade some new iterative methods have been proposed. In this report we apply the fastest of these methods to the relatively simple problem of solving the Poisson equation with Dirichlet boundary conditions on an octagon. Moreover we pay some attention te stop criteria for iterative procedures. Experiments are given comparing the number of iterations for different stop criteria and also the iteration time ratio with repect to the point SOR method.

49 p.
fig. ; 30 cm.
) Ref.(Wetenschappelijk rapport = Scientific report ; WR 79-1 (MBW)