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Title: Numerical solution of the Kiessl model (English)
Author: Dalík, Josef
Author: Daněček, Josef
Author: Vala, Jiří
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 45
Issue: 1
Year: 2000
Pages: 3-17
Summary lang: English
Category: math
Summary: The Kiessl model of moisture and heat transfer in generally nonhomogeneous porous materials is analyzed. A weak formulation of the problem of propagation of the state parameters of this model, which are so-called moisture potential and temperature, is derived. An application of the method of discretization in time leads to a system of boundary-value problems for coupled pairs of nonlinear second order ODE’s. Some existence and regularity results for these problems are proved and an efficient numerical approach based on a certain special linearization scheme and the Petrov-Galerkin method is suggested. (English)
Keyword: materials with pore structure
Keyword: moisture and heat transport
Keyword: nonlinear systems of partial differential equations
Keyword: method of discretization in time
MSC: 65M60
MSC: 74F10
MSC: 76S05
idZBL: Zbl 1058.65105
idMR: MR1738893
DOI: 10.1023/A:1022232632054
Date available: 2009-09-22T18:02:23Z
Last updated: 2020-07-02
Stable URL:
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