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ON FULLY DISCRETE FINITE ELEMENT SCHEMES FOR EQUATIONS OF MOTION OF KELVIN-VOIGT FLUIDS

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Title ON FULLY DISCRETE FINITE ELEMENT SCHEMES FOR EQUATIONS OF MOTION OF KELVIN-VOIGT FLUIDS
 
Creator BAJPAI, S
NATARAJ, N
PANI, AK
 
Subject Viscoelastic fluids
Kelvin-Voigt model
a priori bounds
backward Euler method
second order backward difference scheme
optimal error estimates
VISCOELASTIC FLOW PROBLEM
NAVIER-STOKES PROBLEM
TIME DISCRETIZATION
PENALTY METHOD
APPROXIMATION
MODEL
 
Description In this paper, we study two fully discrete schemes for the equations of motion arising in the Kelvin-Voigt model of viscoelastic fluids. Based on a backward Euler method in time and a finite element method in spatial direction, optimal error estimates which exhibit the exponential decay property in time are derived. In the later part of this article, a second order two step backward difference scheme is applied for temporal discretization and again exponential decay in time for the discrete solution is discussed. Finally, a priori error estimates are derived and results on numerical experiments conforming theoretical results are established.
 
Publisher ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
 
Date 2014-10-17T05:19:36Z
2014-10-17T05:19:36Z
2013
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 10(2)481-507
http://dspace.library.iitb.ac.in/jspui/handle/100/16050
 
Language en