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On a linearized backward Euler method for the equations of motion of Oldroyd fluids of order one

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Title On a linearized backward Euler method for the equations of motion of Oldroyd fluids of order one
 
Creator PANI, AK
YUAN, JY
DAMAZIO, PD
 
Subject finite-element approximation
navier-stokes equations
time discretization
parabolic equations
numerical-solution
memory
regularity
viscoelastic fluids
oldroyd model
a priori bounds
exponential decay
linearized backward euler method
uniform convergence in time
 
Description In this paper, a linearized backward Euler method is discussed for the equations of motion arising in the Oldroyd model of viscoelastic fluids. Some new a priori bounds are obtained for the solution under realistically assumed conditions on the data. Further, the exponential decay properties for the exact as well as the discrete solutions are established. Finally, a priori error estimates in H-1 and L-2-norms are derived for the the discrete problem which are valid uniformly for all time t > 0.
 
Publisher SIAM PUBLICATIONS
 
Date 2011-08-29T05:29:10Z
2011-12-26T12:58:26Z
2011-12-27T05:48:21Z
2011-08-29T05:29:10Z
2011-12-26T12:58:26Z
2011-12-27T05:48:21Z
2006
 
Type Article
 
Identifier SIAM JOURNAL ON NUMERICAL ANALYSIS, 44(2), 804-825
0036-1429
http://dx.doi.org/10.1137/S0036142903428967
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11977
http://hdl.handle.net/10054/11977
 
Language en