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A nonconforming quadrilateral element with maximal inf‐sup constant
Authors:Youngmok Jeon  Hyun Nam  Dongwoo Sheen
Affiliation:1. Department of Mathematics, Ajou University, , Suwon, 443‐749 Korea;2. Department of Mathematics, Seoul National University, , Seoul, 151–747 Korea;3. Department of Mathematics, and Interdisciplinary Program in Computational Science & Technology, Seoul National University, , Seoul, 151–747 Korea
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
Keywords:nonconforming finite element  quadrilateral  Stokes equations  inf‐sup condition
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