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A nonconforming quadrilateral element with maximal inf‐sup constant
Author(s) -
Jeon Youngmok,
Nam Hyun,
Sheen Dongwoo
Publication year - 2014
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.21799
Subject(s) - quadrilateral , constant (computer programming) , mathematics , element (criminal law) , stokes problem , polygon mesh , finite element method , mathematical analysis , partial differential equation , constant coefficients , geometry , combinatorics , physics , computer science , political science , law , thermodynamics , programming language
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