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.

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Key words

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

AMS subject classifications

65N55, 65N30.

ETNA articles which cite this article

Vol. 45 (2016), pp. 257-282 Wolfgang Krendl, Katharina Rafetseder, and Walter Zulehner: A decomposition result for biharmonic problems and the Hellan-Herrmann-Johnson method

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