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Finite element methods for parabolic variational inequalities with a Volterra term

DSpace at IIT Bombay

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Title Finite element methods for parabolic variational inequalities with a Volterra term
 
Creator NAIR, P
PANI, AK
 
Subject penalty method
parabolic variational inequality
regularity result
semidiscrete and completely discrete schemes
error estimates
 
Description In this article, we study parabolic integro-differential equations with an obstacle which gives rise to parabolic variational inequalities with a Volterra term. By the introduction of a suitable penalty operator, the given variational inequality is transformed into a variational equality formulation. Then, existence, uniqueness, and regularity results are derived using a priori bounds and compactness arguments. For numerical approximations, finite element Galerkin methods are applied to the penalized problem and error estimates in the energy norm are established for the semidiscrete case. Finally, a backward Euler method combined with rectangle quadrature rule for the integral term is used for the temporal discretization and by coupling the-penalty parameter epsilon, the spatial discretization parameter h and time step size k, a priori error bounds are obtained in suitable norms.
 
Publisher MARCEL DEKKER INC
 
Date 2011-08-18T09:49:00Z
2011-12-26T12:55:41Z
2011-12-27T05:42:02Z
2011-08-18T09:49:00Z
2011-12-26T12:55:41Z
2011-12-27T05:42:02Z
2003
 
Type Article
 
Identifier NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 24(1-2), 107-127
0163-0563
http://dx.doi.org/10.1081/NFA-120020249
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9967
http://hdl.handle.net/10054/9967
 
Language en