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C 0-Nonconforming Triangular Prism Elements for the Three-Dimensional Fourth Order Elliptic Problem

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Abstract

In this paper, using the bubble functions, we construct two C 0-nonconforming triangular prism elements for the fourth order elliptic problem in three dimensions. By the abstract convergence theorem in (Chen et al. in Numer. Math. (2012, accepted)), one element is proved to be of first order convergence and the other one is proved to be of second order convergence.

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Acknowledgements

We would like to thank the referees for their beneficial comments and suggestions. These comments and suggestions helped us to improve this paper significantly. H.-R. Chen is partially supported by the Scientific Research Foundation of Graduate School of Zhengzhou University. The work of S.-C. Chen is partially supported by NSFC under grant 11071226. Z.-H. Qiao is partially supported by the Hong Kong RGC grant PolyU 2017/10P and the Hong Kong Polytechnic University grants A-PL61 and 1-ZV9Y.

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Authors and Affiliations

  1. Department of Mathematics, Zhengzhou University, Zhengzhou, 450001, China

    Hong-Ru Chen & Shao-Chun Chen

  2. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China

    Zhong-Hua Qiao

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  1. Hong-Ru Chen
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  2. Shao-Chun Chen
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  3. Zhong-Hua Qiao
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Correspondence to Zhong-Hua Qiao.

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Chen, HR., Chen, SC. & Qiao, ZH. C 0-Nonconforming Triangular Prism Elements for the Three-Dimensional Fourth Order Elliptic Problem. J Sci Comput 55, 645–658 (2013). https://doi.org/10.1007/s10915-012-9652-1

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