Geodesic
On the solution of some inverse problems in infiltration
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 307-322

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In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA. Several numerical experiments are included.
DOI : 10.21136/MB.2001.134025
Classification : 35K57, 35R30, 35R35, 49M15, 49N45, 76S05
Keywords: porous media equation; inverse problems; Richard’s equation; soil parameters for unsaturated porous media; automatic differentiation; numerical experiments 
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     title = {On the solution of some inverse problems in~infiltration},
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Constales, D.; Kačur, J. On the solution of some inverse problems in infiltration. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 307-322. doi: 10.21136/MB.2001.134025

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