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Multigrid methods for the biharmonic equation using some nonconforming plate elements

Published online by Cambridge University Press:  17 February 2009

Liming Ma
Affiliation:
Graduate School, Academia Sinica, Beijing 100039, China.
Qianshun Chang
Affiliation:
Academy of Mathematics and Systems Sciences, The Chinese Academy of Sciences, Beijing 100080, China; e-mail: qschang@public.fhnet.cn.net.
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Abstract

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In this paper, multigrid methods for solving the biharmonic equation using some nonconforming plate elements are considered. An average algorithm is applied to define the transfer operator. A general analysis of convergence is given.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001