Volume 17, pp. 112-132, 2004.

Convergence of V-cycle and F-cycle multigrid methods for the biharmonic problem using the Morley element

Jie Zhao

Abstract

Multigrid V-cycle and F-cycle algorithms for the biharmonic problem using the Morley element are studied in this paper. We show that the contraction numbers can be uniformly improved by increasing the number of smoothing steps.

Full Text (PDF) [235 KB]

Key words

multigrid, nonconforming, V-cycle, F-cycle, biharmonic problem, Morley element.

AMS subject classifications

65N55, 65N30.

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