Title
A modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations
Abstract
This paper presents a modified characteristic projection finite element method for the Kelvin-Voigt viscoelastic fluid equations. Then, the unconditional stability and optimal convergence of numerical solutions in L-2-norms and H-1-norms were presented. In addition, some numerical results will be given to testify the theoretical analysis. The numerical results show that the convergence orders are optimal, which show the theoretical analysis is right. The numerical results show that our method is robust for different Reynolds numbers. The numerical results imply that the numerical algorithm also converges for different retardation time. It means that our numerical method is robust for different retardation time.
Year
DOI
Venue
2022
10.1016/j.camwa.2022.01.025
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Keywords
DocType
Volume
The Kelvin-Voigt viscoelastic fluid, Modified characteristic method, Projection method, Unconditional stability, Convergence analysis
Journal
109
ISSN
Citations 
PageRank 
0898-1221
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yinnian He145460.20
Qing Wang234576.64
Yunxia Wang300.34