Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates
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 pr...
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th-mahidol.194162018-07-12T09:34:40Z Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates Hideaki Kaneko Kim S. Bey Yongwimon Lenbury Puntip Toghaw Old Dominion University NASA Langley Research Center Mahidol University Mathematics 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. 2018-07-12T02:34:40Z 2018-07-12T02:34:40Z 2008-07-15 Article Applied Mathematics and Computation. Vol.201, No.1-2 (2008), 414-430 10.1016/j.amc.2007.12.062 00963003 2-s2.0-44649102782 https://repository.li.mahidol.ac.th/handle/123456789/19416 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=44649102782&origin=inward |
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Mathematics Hideaki Kaneko Kim S. Bey Yongwimon Lenbury Puntip Toghaw Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
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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. |
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Old Dominion University |
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Old Dominion University Hideaki Kaneko Kim S. Bey Yongwimon Lenbury Puntip Toghaw |
| format |
Article |
| author |
Hideaki Kaneko Kim S. Bey Yongwimon Lenbury Puntip Toghaw |
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Hideaki Kaneko |
| title |
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| title_short |
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| title_full |
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| title_fullStr |
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| title_full_unstemmed |
Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| title_sort |
numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates |
| publishDate |
2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/19416 |
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