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|Title:||Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates|
Kim S. Bey
Old Dominion University
NASA Langley Research Center
|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.|
|Appears in Collections:||Scopus 2006-2010|
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