Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634344 | Applied Mathematics and Computation | 2008 | 17 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Hideaki Kaneko, Kim S. Bey, Yongwimon Lenbury, Puntip Toghaw,