On V-cycle multigrid implementation for plate elements

Authors:
Xuejun Xu
Affiliations:
Institute of Computational Mathematics, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, People's Republic of China
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 9
Cited 0

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Abstract

In this paper an optimal V-cycle multigrid method is presented for the nonconforming element approximation of the plate bending problem does not need full elliptic regularity. The uniform convergence rate independent of mesh sizes and levels is established. Some numerical tests are given to illustrate the efficiency of the method.