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Indexed by:期刊论文

Date of Publication:2017-02-01

Journal:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:109

Issue:5

Page Number:611-630

ISSN No.:0029-5981

Key Words:quadratic nonconforming element; brick element; 13-point element; cubic meshes; stokes problem

Abstract:A new nonconforming brick element is introduced, which only has 13 DOFs locally and takes P-2 circle plus Span {x(1)(3); x(2)(3),; x(3)(3)} as its shape functions space. The vector-valued version generates, together with a discontinuous P-1 approximation, an inf-sup stable finite element pair of order 2 for the Stokes problem in the energy norm. Copyright (C) 2016 John Wiley & Sons, Ltd.