Publication:
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates

1

Issued Date

2008-07-15

Resource Type

Article

ISSN

00963003

DOI

10.1016/j.amc.2007.12.062

Other identifier(s)

2-s2.0-44649102782

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Applied Mathematics and Computation. Vol.201, No.1-2 (2008), 414-430

Suggested Citation

Hideaki Kaneko, Kim S. Bey, Yongwimon Lenbury, Puntip Toghaw Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates. Applied Mathematics and Computation. Vol.201, No.1-2 (2008), 414-430. doi:10.1016/j.amc.2007.12.062 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/19416

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Title

Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates

Author(s)

Hideaki Kaneko
 Kim S. Bey
 Yongwimon Lenbury
 Puntip Toghaw

Other Contributor(s)

Old Dominion University
 NASA Langley Research Center
 Mahidol University

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/19416

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Scopus 2006-2010