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Multigrid for the mortar element method for P1 nonconforming element

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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.

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Authors and Affiliations

  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

    Xuejun Xu & Jinru Chen

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  1. Xuejun Xu
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  2. Jinru Chen
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Received May 11, 1999 / Revised version received April 1, 2000 / Published online October 16, 2000

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Xu, X., Chen, J. Multigrid for the mortar element method for P1 nonconforming element. Numer. Math. 88, 381–398 (2001). https://doi.org/10.1007/PL00005450

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  • DOI: https://doi.org/10.1007/PL00005450

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