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AN A POSTERIORI ERROR ANALYSIS OF MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR PARABOLIC PROBLEMS

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Title AN A POSTERIORI ERROR ANALYSIS OF MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR PARABOLIC PROBLEMS
 
Creator MEMON, S
NATARAJ, N
PANI, AK
 
Subject a posteriori error estimates
mixed finite element method
linear parabolic equation
mixed elliptic reconstructions
backward Euler
adaptive algorithms
ELLIPTIC RECONSTRUCTION
DIFFERENTIAL-EQUATIONS
NONLINEAR PROBLEMS
DISCRETIZATIONS
MODEL
 
Description In this article, a posteriori error estimates are derived for mixed finite element Galerkin approximations to second order linear parabolic initial and boundary value problems. Using mixed elliptic reconstructions, a posteriori error estimates in L infinity(L-2)- and L-2(L-2)-norms for the solution as well as its flux are proved for the semidiscrete scheme. Finally, based on a backward Euler method, a completely discrete scheme is analyzed and a posteriori error bounds are derived, which improves upon earlier results on a posteriori estimates of mixed finite element approximations to parabolic problems. Results of numerical experiments verifying the efficiency of the estimators have also been provided.
 
Publisher SIAM PUBLICATIONS
 
Date 2014-10-15T15:49:28Z
2014-10-15T15:49:28Z
2012
 
Type Article
 
Identifier SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(3)1367-1393
http://dx.doi.org/10.1137/100782760
http://dspace.library.iitb.ac.in/jspui/handle/100/15195
 
Language en