Title
The locally stabilized finite volume method for incompressible flow
Abstract
A locally stabilized finite volume method for the two-dimensional incompressible flow governed by stationary Stokes and Navier-Stokes equations is investigated in this work. A macroelement condition is introduced for constructing the local stabilized formulation for the problem. The optimal L^2 error estimate of (u"h,p"h) determined by Stokes equations is also deduced. Some numerical examples are provided to check the efficiency of this method.
Year
DOI
Venue
2007
10.1016/j.amc.2006.09.058
Applied Mathematics and Computation
Keywords
Field
DocType
stokes equation,optimal error estimate,error estimate,finite volume method,incompressible flow,optimal l,macroelement condition,stationary stokes,navier-stokes equation,numerical example,two-dimensional incompressible flow,numerical examples
Mathematical optimization,Mathematical analysis,Optimal estimation,Incompressible flow,Two-dimensional flow,Numerical analysis,Finite volume method,Stokes flow,Pressure-correction method,Mathematics
Journal
Volume
Issue
ISSN
187
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Guoliang He17512.73
Yong Zhang200.34
Huang Xiaoqin300.34