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Title: On the solution of some inverse problems in infiltration (English)
Author: Constales, D.
Author: Kačur, J.
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 126
Issue: 2
Year: 2001
Pages: 307-322
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: porous media equation
Keyword: inverse problems
Keyword: Richard’s equation
Keyword: soil parameters for unsaturated porous media
Keyword: automatic differentiation
Keyword: numerical experiments
MSC: 35K57
MSC: 35R30
MSC: 35R35
MSC: 49M15
MSC: 49N45
MSC: 76S05
idZBL: Zbl 0978.35094
idMR: MR1844271
DOI: 10.21136/MB.2001.134025
Date available: 2009-09-24T21:50:56Z
Last updated: 2020-07-29
Stable URL:
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