A stable nonconforming finite element on hexahedra | Zendy

Meng Zhaoliang | Zendy; Luo Zhongxuan | Zendy; Zhou Xinchen | Zendy

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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.

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