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A hybrid flux model for heat conduction problems
Author(s) -
Cannarozzi A. A.,
Momanyi F. X.,
Ubertini F.
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(20000410)47:10<1731::aid-nme853>3.0.co;2-c
Subject(s) - thermal conduction , heat flux , a priori and a posteriori , finite element method , boundary (topology) , boundary value problem , mathematics , mathematical analysis , fourier transform , flux (metallurgy) , work (physics) , domain (mathematical analysis) , mechanics , heat transfer , physics , thermodynamics , materials science , philosophy , epistemology , metallurgy
A hybrid method of solution for the linear problem of heat conduction in a body is presented. The variational support is a two‐field functional whose arguments are heat flux, which meets a priori inner thermal equilibrium, and temperature on the boundary of the body. The stationary conditions of the functional are the Fourier's law and the prescribed boundary conditions. This variational framework allows to develop a finite element model that exhibits good accuracy, especially in the presence of geometry irregularities in a mesh. Copyright © 2000 John Wiley & Sons, Ltd.