Numerical Solution of the Kiessl Model

Autor: Jiří Vala, Josef Dalík, Josef Daněčcek
Rok vydání: 2000
Předmět:
Zdroj: Applications of Mathematics. 45:3-17
ISSN: 1572-9109
0862-7940
DOI: 10.1023/a:1022232632054
Popis: 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.
Databáze: OpenAIRE
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