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A comparison of rates of convergence for the Modified Alternating Direction Preconditioning (MADP) method

โœ Scribed by N.M. Missirlis; D.J. Evans

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
703 KB
Volume
27
Category
Article
ISSN
0378-4754

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โœฆ Synopsis

This paper considers the nwnerical solution of the eEZiptic seZf-adjoint second order and the biharmonic equations using a variety of accelerated versions of the Modified Alternating Direction Preconditioning (MADPi method developed in [4]. The resulting iterative schemes possess rates of convergence which are improved by an order of magnitude as compared with the well known ADI methods. Finally, a survey of numerical experiments and comparisons with existing results, concerned with the solution of Laplace and biharmonic equations in the unit square, are also reported.

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