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

N.M. Missirlis and D.J. Evans

Mathematics and Computers in Simulation (MATCOM), 1985, vol. 27, issue 4, 373-382

Abstract: This paper considers the numerical solution of the elliptic self-adjoint second order and the biharmonic equations using a variety of accelerated versions of the Modified Alternating Direction Preconditioning (MADP) 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.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:27:y:1985:i:4:p:373-382

DOI: 10.1016/0378-4754(85)90007-2

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