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H-1-Galerkin mixed finite element methods for parabolic partial integro-differential equations

DSpace at IIT Bombay

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Title H-1-Galerkin mixed finite element methods for parabolic partial integro-differential equations
 
Creator PANI, AK
FAIRWEATHER, G
 
Subject evolving scales
approximations
heterogeneity
convergence
media
h-1-galerkin mixed finite element methods
parabolic partial integro-differential equations
semidiscrete and fully discrete schemes
optional error estimates
 
Description H-1-Galerkin mixed finite element methods are analysed for parabolic partial integro-differential equations which arise in mathematical models of reactive flows in porous media and of materials with memory effects. Depending on the physical quantities of interest, two methods are discussed. Optimal error estimates are derived for both semidiscrete and fully discrete schemes for problems in one space dimension. An extension to problems in two and three space variables is also discussed and it is shown that the H-1-Galerkin mixed finite element approximations have the same rate of convergence as in the classical methods without requiring the LBB consistency condition.
 
Publisher OXFORD UNIV PRESS
 
Date 2011-08-22T06:32:02Z
2011-12-26T12:56:14Z
2011-12-27T05:44:37Z
2011-08-22T06:32:02Z
2011-12-26T12:56:14Z
2011-12-27T05:44:37Z
2002
 
Type Article
 
Identifier IMA JOURNAL OF NUMERICAL ANALYSIS, 22(2), 231-252
0272-4979
http://dx.doi.org/10.1093/imanum/22.2.231
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10346
http://hdl.handle.net/10054/10346
 
Language en