# Numerical solution of the Kiessl model

Josef Dalík; Josef Daněček; Jiří Vala

Applications of Mathematics (2000)

- Volume: 45, Issue: 1, page 3-17
- ISSN: 0862-7940

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topDalík, Josef, Daněček, Josef, and Vala, Jiří. "Numerical solution of the Kiessl model." Applications of Mathematics 45.1 (2000): 3-17. <http://eudml.org/doc/33046>.

@article{Dalík2000,

abstract = {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.},

author = {Dalík, Josef, Daněček, Josef, Vala, Jiří},

journal = {Applications of Mathematics},

keywords = {materials with pore structure; moisture and heat transport; nonlinear systems of partial differential equations; method of discretization in time; materials with pore structure; moisture and heat transport; nonlinear systems of partial differential equations; method of discretization in time},

language = {eng},

number = {1},

pages = {3-17},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Numerical solution of the Kiessl model},

url = {http://eudml.org/doc/33046},

volume = {45},

year = {2000},

}

TY - JOUR

AU - Dalík, Josef

AU - Daněček, Josef

AU - Vala, Jiří

TI - Numerical solution of the Kiessl model

JO - Applications of Mathematics

PY - 2000

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 45

IS - 1

SP - 3

EP - 17

AB - 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.

LA - eng

KW - materials with pore structure; moisture and heat transport; nonlinear systems of partial differential equations; method of discretization in time; materials with pore structure; moisture and heat transport; nonlinear systems of partial differential equations; method of discretization in time

UR - http://eudml.org/doc/33046

ER -

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