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Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow

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Title Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow
 
Creator BAJPAI, S
NATARAJ, N
PANI, AK
DAMAZIO, P
YUAN, JY
 
Subject a priori bounds
exponential decay property
finite element approximations
Kelvin-Voigt model
optimal error estimates
semidiscrete Galerkin method
Viscoelastic fluids
FINITE-ELEMENT APPROXIMATION
OLDROYD FLUIDS
STOKES PROBLEM
PENALTY METHOD
ORDER ONE
DISCRETIZATION
 
Description Finite element Galerkin method is applied to equations of motion arising in the KelvinVoigt model of viscoelastic fluids for spatial discretization. Some new a priori bounds which reflect the exponential decay property are obtained for the exact solution. For optimal L(L2) estimate in the velocity, a new auxiliary operator which is based on a modification of the Stokes operator is introduced and analyzed. Finally, optimal error bounds for the velocity in L(L2) as well as in L(H01)-norms and the pressure in L(L2)-norm are derived which again preserves the exponential decay property. (c) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013
 
Publisher WILEY-BLACKWELL
 
Date 2014-10-17T05:19:05Z
2014-10-17T05:19:05Z
2013
 
Type Article
 
Identifier NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 29(3)857-883
http://dx.doi.org/10.1002/num.21735
http://dspace.library.iitb.ac.in/jspui/handle/100/16049
 
Language en