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Title: Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates
Authors: Hideaki Kaneko
Kim S. Bey
Yongwimon Lenbury
Puntip Toghaw
Old Dominion University
NASA Langley Research Center
Mahidol University
Keywords: Mathematics
Issue Date: 15-Jul-2008
Citation: Applied Mathematics and Computation. Vol.201, No.1-2 (2008), 414-430
Abstract: In this paper, we consider a nonlinear hierarchical finite element method for heat conduction problems over two- or three-dimensional plates. Problems considered are nonlinear because the heat conductivity parameter depends upon the temperature itself. This paper explores a new technique recently proposed by the first author which transforms a nonlinear parabolic problem to a linear problem at the discrete level. We present several numerical examples which demonstrate the efficiency of the current technique. © 2008.
ISSN: 00963003
Appears in Collections:Scopus 2006-2010

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