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An error estimate on a Galerkin method for modeling heat and moisture transfer in fibrous insulation
Author(s) -
Cheng Aijie,
Wang Hong
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20277
Subject(s) - finite element method , galerkin method , moisture , sorption , porous medium , mathematics , discontinuous galerkin method , heat transfer , norm (philosophy) , mass transfer , partial differential equation , porosity , mathematical analysis , thermodynamics , materials science , physics , chemistry , composite material , organic chemistry , adsorption , political science , law
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