Multigrid for the mortar element method for P1 nonconforming element |
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| Authors: | Xuejun Xu Jinru Chen |
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| Institution: | (1) Institute of Computational Mathematics, Academy of Mathematices and Systems Sciences, Chinese Academy of Sciences, P.O.Box 2719, Beijing 100080, People's Republic of China; e-mail: xxj@lsec.cc.ac.cn , CN;(2) Department of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China; e-mail: jrchen@pine.njnu.edu.cn , CN |
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| Abstract: | In this paper, a multigrid algorithm is presented for the mortar element method for P1 nonconforming element. Based on the
theory developed by Bramble, Pasciak, Xu in 5], we prove that the W-cycle multigrid is optimal, i.e. the convergence rate
is independent of the mesh size and mesh level. Meanwhile, a variable V-cycle multigrid preconditioner is constructed, which
results in a preconditioned system with uniformly bounded condition number.
Received May 11, 1999 / Revised version received April 1, 2000 / Published online October 16, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 65F10 65N30 |
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