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A nonconforming quadrilateral element with maximal inf-sup constant

Authors

  • Youngmok Jeon,

    1. Department of Mathematics, Ajou University, Suwon, Korea
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  • Hyun Nam,

    1. Department of Mathematics, Seoul National University, Seoul, Korea
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  • Dongwoo Sheen

    Corresponding author
    1. Department of Mathematics, and Interdisciplinary Program in Computational Science & Technology, Seoul National University, Seoul, Korea
    • Correspondence to: Dongwoo Sheen, Department of Mathematics, and Interdisciplinary Program in Computational Science & Technology, Seoul National University, Seoul 151–747, Korea (e-mail: sheen@snu.ac.kr)

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Abstract

A new nonconforming element is introduced for quadrilateral meshes. The element is designed to maximize the inf-sup constant for a Stokes element pair. Numerical results are presented and we observe that the maximizing inf-sup constant results in efficiency of computing time. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 12-132, 2014

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