Title
Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions
Abstract
In this article we study the numerical approximation of a quasi-Newtonian Stokes flow problem where only the flow rates are specified at the inflow and outflow boundaries. A variational formulation of the problem, using Lagrange multipliers to enforce the stated flow rates, is given. The existence and the uniqueness to the continuous, and discrete, variational formulations of the solution are shown. An error analysis for the numerical approximation is also given. Numerical computations are included which demonstrate the approximation scheme studied.
Year
DOI
Venue
2007
10.1137/060669012
SIAM J. Numerical Analysis
Keywords
Field
DocType
quasi-newtonian stokes flow problem,approximation scheme,stated flow rate,error analysis,outflow boundary,numerical approximation,flow rate,lagrange multiplier,defective boundary condition,quasi-newtonian stokes flow,variational formulation,power law fluid,numerical computation,defective boundary conditions,stokes flow,boundary condition,power law
Boundary value problem,Uniqueness,Mathematical optimization,Mathematical analysis,Lagrange multiplier,Inflow,Numerical analysis,Power-law fluid,Stokes flow,Approximation error,Mathematics
Journal
Volume
Issue
ISSN
45
5
0036-1429
Citations 
PageRank 
References 
4
1.25
1
Authors
2
Name
Order
Citations
PageRank
Vincent J. Ervin111815.66
Hyesuk Lee2408.26