Indexed by:
Abstract:
In this paper, a nonconforming virtual element method for the Stokes problem is proposed and investigated. This method gives a unified scheme for two and three dimensions simultaneously. In addition, it provides an attractive computational feature treatment of general elements including non-convex and degenerate elements. Moreover, by choosing a proper low order velocity and pressure pair, we prove the discrete inf-sup condition for this method to obtain its solvability and stability. Furthermore, we show optimal energy norm error estimates for velocity and L-2 norm error estimates for both velocity and pressure. Finally, a series of numerical experiments are performed to validate that this method has good stability and accuracy for the Stokes problem. (C) 2017 Elsevier B.V. All rights reserved.
Keyword:
Reprint Author's Address:
Source :
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN: 0045-7825
Year: 2017
Volume: 320
Page: 694-711
4 . 4 4 1
JCR@2017
6 . 7 5 6
JCR@2020
ESI Discipline: COMPUTER SCIENCE;
ESI HC Threshold:135
JCR Journal Grade:2
CAS Journal Grade:1
Cited Count:
WoS CC Cited Count: 37
SCOPUS Cited Count: 62
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 5
Affiliated Colleges: