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A Unified Mortar Condition for Nonconforming Finite Elements

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Abstract

A continuously interpolated mortar condition is proposed for 2D and 3D \(P_k\) nonconforming finite elements on nonmatching grids. The resulting finite element method is an optimal order one in solving elliptic equations. Numerical tests on the 2D \(P_1\), 2D \(P_2\) and 3D \(P_1\) nonconforming finite elements are provided.

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Acknowledgments

The first and the third authors are supported in part by NSFC under the Grant 11071124 and 11371199. The first author is also supported in part by the Project of Graduate Education Innovation of Jiangsu Province under the Grant CXZZ13-0387. The third author is also supported in part by the Jiangsu Provincial 2011 Program (Collaborative Innovation Center of Climate Change).

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Authors and Affiliations

  1. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

    Chunmei Wang & Jinru Chen

  2. School of Mathematical Sciences, Nanjing Normal University Taizhou College, Taizhou, 225300, China

    Chunmei Wang

  3. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA

    Shangyou Zhang

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  1. Chunmei Wang
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  2. Shangyou Zhang
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  3. Jinru Chen
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Correspondence to Shangyou Zhang.

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Wang, C., Zhang, S. & Chen, J. A Unified Mortar Condition for Nonconforming Finite Elements. J Sci Comput 62, 179–197 (2015). https://doi.org/10.1007/s10915-014-9852-y

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  • DOI: https://doi.org/10.1007/s10915-014-9852-y

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