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Iterative solution of a discrete axially symmetric potential problem

โœ Scribed by J Boersma; P le Grand

Publisher
Elsevier Science
Year
1975
Weight
576 KB
Volume
78
Category
Article
ISSN
1385-7258

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โœฆ Synopsis

The Dirichlet problem for the axially symmetric potential equation in a cylindrical domain is discretized by means of a five-point difference approximation.

The resulting difference equation is solved by point or line iterative methods. The rate of convergence of these methods is determined by the spectral radius of the under; lying point or line Jacobi matrix. An asymptotic approximation for this spectral radius, valid for small mesh size, is derived.

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