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A stable nonconforming finite element on hexahedra
Author(s) -
Meng Zhaoliang,
Luo Zhongxuan,
Zhou Xinchen
Publication year - 2016
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5290
Subject(s) - finite element method , hexahedron , norm (philosophy) , mathematics , element (criminal law) , mixed finite element method , extended finite element method , mathematical analysis , space (punctuation) , stokes problem , mathematical optimization , computer science , structural engineering , engineering , political science , law , operating system
Summary A new nonconforming brick element is introduced, which only has 13 DOFs locally and takesP 2 ⊕ Span { x 1 3 , x 2 3 , x 3 3 } as its shape functions space. The vector‐valued version generates, together with a discontinuousP 1approximation, an inf‐sup stable finite element pair of order 2 for the Stokes problem in the energy norm. Copyright © 2016 John Wiley & Sons, Ltd.