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Finite element approximations to a class of viscoelastic problems with short memory under conditions of friction

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Title Finite element approximations to a class of viscoelastic problems with short memory under conditions of friction
 
Creator NAIR, P
PANI, AK
 
Subject numerical-analysis
contact problems
viscoelastic materials
short memory
friction conditions
regularity results
semidiscrete schemes
completely discrete method
error estimates
 
Description In this paper, we consider the finite element approximations of a class of viscoelastic problems with short memory under frictional conditions. The problem is formulated in the form of a variational inequality and the frictional forces are included in the form of a non differentiable functional. Approximating the friction functional by a convex differentiable functional, we transform the variational inequality formulation into a variational equality form. Based on a priori bounds and compactness arguments, existence, and uniqueness and regularity results are obtained. Then finite element Galerkin method is applied in the spatial direction and error estimates are derived for the semidiscrete scheme. Finally, we discretize in time by replacing the time derivative with the help of difference quotients and discuss the error estimates for the completely discrete scheme.
 
Publisher WATAM PRESS
 
Date 2011-10-22T00:12:53Z
2011-12-15T09:10:38Z
2011-10-22T00:12:53Z
2011-12-15T09:10:38Z
2005
 
Type Article; Proceedings Paper
 
Identifier DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS,12,360-380
1492-8760
http://dspace.library.iitb.ac.in/xmlui/handle/10054/14774
http://hdl.handle.net/100/1561
 
Source International Conference on Complex Systems, Control and Optimization,Shenyang, PEOPLES R CHINA,AUG 08-10, 2004
 
Language English