AN A POSTERIORI ERROR ANALYSIS OF MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR PARABOLIC PROBLEMS
DSpace at IIT Bombay
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Title |
AN A POSTERIORI ERROR ANALYSIS OF MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR PARABOLIC PROBLEMS
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Creator |
MEMON, S
NATARAJ, N PANI, AK |
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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 |
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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.
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Publisher |
SIAM PUBLICATIONS
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Date |
2014-10-15T15:49:28Z
2014-10-15T15:49:28Z 2012 |
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Type |
Article
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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 |
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Language |
en
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