Release Time:2019-03-12  Hits:

Indexed by: Journal Article

Date of Publication: 2017-02-01

Journal: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals: Scopus、EI、SCIE

Volume: 109

Issue: 5

Page Number: 611-630

ISSN: 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.