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A Cascadic Multigrid Method for Solving Obstacle Problems

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Recent Progress in Computational and Applied PDES

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Abstract

In this paper, we propose a caseadic multigrid method for the solution of the Lagrange finite element discretization for elliptic obstacle problems. We prove the convergence and obtain an error estimate of the method for the model obstacle problem. We also give some numerical results showing that the effectiveness of the proposed method.

The work is supported by NNSF#10071017 of P. R. China.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Hunan University, Changsha, Hunan, 410082, P.R. China

    J. P. Zeng, S. Z. Zhou & J. T. Ma

Authors
  1. J. P. Zeng
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  2. S. Z. Zhou
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  3. J. T. Ma
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Editor information

Editors and Affiliations

  1. University of California at Los Angeles, Los Angeles, California, USA

    Tony F. Chan

  2. Xiangtan University, Xiangtan City of Hunan, China

    Yunqing Huang

  3. Hong Kong Baptist University, Hong Kong, China

    Tao Tang

  4. Pennsylvania State University, University Park, Pennsylvania, USA

    Jinchao Xu

  5. Peking University, Beijing, China

    Long-An Ying

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© 2002 Springer Science+Business Media New York

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Zeng, J.P., Zhou, S.Z., Ma, J.T. (2002). A Cascadic Multigrid Method for Solving Obstacle Problems. In: Chan, T.F., Huang, Y., Tang, T., Xu, J., Ying, LA. (eds) Recent Progress in Computational and Applied PDES. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0113-8_28

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  • DOI: https://doi.org/10.1007/978-1-4615-0113-8_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4929-7

  • Online ISBN: 978-1-4615-0113-8

  • eBook Packages: Springer Book Archive

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