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The multigrid method for the combined hybrid elements of elasticity mechanical problem

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Abstract

The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.

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Acknowledgements

The authors would like to thank the referees and editor for their helpful and detailed comments and suggestions on the manuscript. This research is supported by the National Natural Science Foundation of China (nos. 11471262, 11501450).

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Authors and Affiliations

  1. Research Center for Computational Science, Northwestern Polytechnical University, Xi’an, 710129, Shaanxi, People’s Republic of China

    Huiling Wang, Yufeng Nie, Zhanbin Yuan & Ling Zhang

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  1. Huiling Wang
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  2. Yufeng Nie
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  3. Zhanbin Yuan
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  4. Ling Zhang
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Correspondence to Yufeng Nie.

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Communicated by Abimael Loula.

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Wang, H., Nie, Y., Yuan, Z. et al. The multigrid method for the combined hybrid elements of elasticity mechanical problem. Comp. Appl. Math. 38, 42 (2019). https://doi.org/10.1007/s40314-019-0804-x

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  • DOI: https://doi.org/10.1007/s40314-019-0804-x

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