An error estimate on a Galerkin method for modeling heat and moisture transfer in fibrous insulation

We propose a Galerkin finite element method for numerically modeling the process of heat and moisture transfer in porous clothing assemblies, which takes into account radiative heat transfer and sorption of water vapor into the fibers of the medium. We prove an optimal‐order error estimate for the f...

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Bibliographic Details
Published in:Numerical methods for partial differential equations 2008-03, Vol.24 (2), p.504-517
Main Authors: Cheng, Aijie, Wang, Hong
Format: Article
Language:English
Subjects:
error estimates
fibrous insulation
Galerkin method
heat transfer
moisture transfer
porous clothing assemblies
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Summary:We propose a Galerkin finite element method for numerically modeling the process of heat and moisture transfer in porous clothing assemblies, which takes into account radiative heat transfer and sorption of water vapor into the fibers of the medium. We prove an optimal‐order error estimate for the finite element method in energy norm. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20277