Research Article
Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 184 - Issue 33 |
| Published: Oct 2022 |
| Authors: Mohamed El Hachmi, Abdelaziz Ghafiri, Jamal Chaoufi |
10.5120/ijca2022922427
|
Mohamed El Hachmi, Abdelaziz Ghafiri, Jamal Chaoufi . Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem. International Journal of Computer Applications. 184, 33 (Oct 2022), 59-62. DOI=10.5120/ijca2022922427
@article{ 10.5120/ijca2022922427,
author = { Mohamed El Hachmi,Abdelaziz Ghafiri,Jamal Chaoufi },
title = { Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem },
journal = { International Journal of Computer Applications },
year = { 2022 },
volume = { 184 },
number = { 33 },
pages = { 59-62 },
doi = { 10.5120/ijca2022922427 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2022
%A Mohamed El Hachmi
%A Abdelaziz Ghafiri
%A Jamal Chaoufi
%T Application of Fitzpatrick Sequences to Solve a Heat Transfer Problem%T
%J International Journal of Computer Applications
%V 184
%N 33
%P 59-62
%R 10.5120/ijca2022922427
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The purpose of the article is to resolve the heat equation by optimizing a functional. Various cases of thermal conductivity tensors are developed. The Legendre-Fenchel-Moreau convex transformation is particularly used. Using the Fitzpatrick method, appropriate increasing sequences are built for materials with linear but asymmetric heat transfer.
References
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- Halphen B, Son NQ (1975) On the generalized standard materials [French]. J de Mécanique 14:39–63
- De Saxcé G, Bousshine L (2002) Implicit standard materials. In: Weichert D, Maier G (eds) Inelastic behaviour of structures under variable repeated loads–direct analysis methods. Int. Centre Mech. Sci., CISM Courses and Lectures IV, vol 432. Springer, Wien, New York
- Fitzpatrick SP (1988) Representing monotone operators by convex functions. Miniconference on functional analysis and optimization (Canberra, August 8–24). In: Fitzpatrick SP, Giles JR (eds) Proceedings of the Centre for Mathematical Analysis. Australian National University, Canberra, vol 20, pp 59–65
- Vallée, C., Chaoufi, J., & Lerintiu, C. (2014). The Dirichlet–Neumann problem revisited after modelling a new class of non-smooth phenomena. Annals of Solid and Structural Mechanics, 6(1), 29-36.
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