Access the full text.
Sign up today, get DeepDyve free for 14 days.
P. Ciarlet (2002)
The finite element method for elliptic problems, 40
G. Zhi (2005)
SIGNIFICANCE AND USE OF BASIC EQUATION SYSTEM GOVERNING HIGH REYNOLDS (Re) NUMBER FLOWS AND DIFFUSION-PARABOLIZED NAVIER-STOKES(DPNS) EQUATIONSAdvances in Mechanics
Tytti Saksa (2019)
Navier-Stokes EquationsFundamentals of Ship Hydrodynamics
J. Heywood, R. Rannacher (1982)
Finite element approximation of the nonstationary Navier-Stokes problem. I : Regularity of solutions and second-order error estimates for spatial discretizationSIAM Journal on Numerical Analysis, 19
(2006)
The Foundations and Applications of Mixed Finite Element Methods
Wang Ruquan (2005)
NUMERICAL SOLUTIONS OF THE DIFFUSION PARABOLIZED NAVIER-STOKES EQUATIONSAdvances in Mechanics
D. D’Ambrosio, R. Marsilio (1995)
A NUMERICAL METHOD FOR SOLVING THE THREE-DIMENSIONAL PARABOLIZED NAVIER-STOKES EQUATIONSComputers & Fluids, 26
Y. Bourgault, P. Caussignac, L. Renggli (1994)
Finite element methods for parabolized Navier-Stokes equationsComputer Methods in Applied Mechanics and Engineering, 111
A. Alekseev, Ionel Navon, J. Steward (2009)
Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problemsOptimization Methods and Software, 24
V. Girault, P. Raviart (1986)
Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms, 5
V. Pratap, D. Spalding (1976)
FLUID FLOW AND HEAT TRANSFER IN THREE-DIMENSIONAL DUCT FLOWSInternational Journal of Heat and Mass Transfer, 19
J.G. Heywood, R. Rannacher (1982)
Finite element approximation of the non-stationary Navier-Stokes problem, IRegularity of solutions and second order estimates for spatial discretization. SIAM Journal on Numerical Analysis, 19
Y. He, Y. Lin, W. Sun (2006)
Stabilized finite element method for the non-stationary Navier-Stokes problemDiscrete and Continuous Dynamical Systems B, 6
J. Roberts, Jean-Marie Thomas (1987)
Mixed and hybrid finite element methods
(2011)
A stabilized fully discrete finite volume element formulation for non-stationary Stokes equations
G. Burton (2013)
Sobolev Spaces
In this study, a time semi-discrete Crank-Nicolson (CN) formulation with second-order time accuracy for the non-stationary parabolized Navier-Stokes equations is firstly established. And then, a fully discrete stabilized CN mixed finite element (SCNMFE) formulation based on two local Gauss integrals and parameterfree with the second-order time accuracy is established directly from the time semi-discrete CN formulation. Thus, it could avoid the discussion for semi-discrete SCNMFE formulation with respect to spatial variables and its theoretical analysis becomes very simple. Finaly, the error estimates of SCNMFE solutions are provided.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Apr 8, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.