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Mortar Element Methods for Parabolic Problems

DSpace at IIT Bombay

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Title Mortar Element Methods for Parabolic Problems
 
Creator PATEL, A
PANI, AK
NATARAJ, N
 
Subject finite-element
backward euler method
lagrange multiplier
modified elliptic projection
numerical experiments
optimal error estimates
order of convergence
parabolic initial-boundary value problems
semidiscrete scheme
the mortar element method
 
Description In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial-boundary value problems. Optimal error estimates in L-infinity(L-2) and L-infinity (H-1)-norms for semidiscrete methods for both the cases are established. The key feature that we have adopted here is to introduce a modified elliptic projection. In the standard mortar element method, a completely discrete scheme using backward Euler scheme is discussed and optimal error estimates are derived. The results of numerical experiments support the theoretical results obtained in this article. (C) 2008 . Numer Methods Partial Differential Eq 24: 1460-1484, 2008
 
Publisher JOHN WILEY & SONS INC
 
Date 2011-08-16T10:13:54Z
2011-12-26T12:54:53Z
2011-12-27T05:43:16Z
2011-08-16T10:13:54Z
2011-12-26T12:54:53Z
2011-12-27T05:43:16Z
2008
 
Type Article
 
Identifier NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 24(6), 1460-1484
0749-159X
http://dx.doi.org/10.1002/num.20327
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9468
http://hdl.handle.net/10054/9468
 
Language en