Publication Date:
2019-07-13
Description:
An algorithm for solving a large class of two- and three-dimensional nonseparable elliptic partial differential equations (PDE's) is developed and tested. It uses a modified D'Yakanov-Gunn iterative procedure in which the relaxation factor is grid-point dependent. It is easy to implement and applicable to a variety of boundary conditions. It is also computationally efficient, as indicated by the results of numerical comparisons with other established methods. Furthermore, the current algorithm has the advantage of possessing two important properties which the traditional iterative methods lack; that is: (1) the convergence rate is relatively insensitive to grid-cell size and aspect ratio, and (2) the convergence rate can be easily estimated by using the coefficient of the PDE being solved.
Keywords:
NUMERICAL ANALYSIS
Type:
NASA-TP-2529
,
E-2461-1
,
NAS 1.60:2529
,
International Conference on Numerical Methods in Fluid Dynamics; Jun 25, 1984 - Jun 29, 1984; Saclay; France
Format:
application/pdf
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