Hideaki KanekoKim S. BeyYongwimon LenburyPuntip ToghawOld Dominion UniversityNASA Langley Research CenterMahidol University2018-07-122018-07-122008-07-15Applied Mathematics and Computation. Vol.201, No.1-2 (2008), 414-430009630032-s2.0-44649102782https://repository.li.mahidol.ac.th/handle/20.500.14594/19416In 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.Mahidol UniversityMathematicsArticleSCOPUS10.1016/j.amc.2007.12.062