Geodesic
Numerical solution of the Kiessl model
Applications of Mathematics, Tome 45 (2000) no. 1, pp. 3-17 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.1023/A:1022232632054
Classification : 65M60, 74F10, 76S05
Keywords: materials with pore structure; moisture and heat transport; nonlinear systems of partial differential equations; method of discretization in time 
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     title = {Numerical solution of the {Kiessl} model},
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Dalík, Josef; Daněček, Josef; Vala, Jiří. Numerical solution of the Kiessl model. Applications of Mathematics, Tome 45 (2000) no. 1, pp. 3-17. doi: 10.1023/A:1022232632054

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