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| Identification of the Exchange Coefficient from IndirectData for a Coupled Continuum Pipe-Flow Model? |
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Citation： |
Xinming WU,Philipp KUGLER,Shuai LU.Identification of the Exchange Coefficient from IndirectData for a Coupled Continuum Pipe-Flow Model?[J].Chinese Annals of Mathematics B,2014,35(3):483~500 |
| Page view： 3200
Net amount： 1971 |
Authors： |
Xinming WU; Philipp KUGLER; Shuai LU; |
Foundation： |
National Natural Science Foundation of China (Nos. 91330202,11301089, 91130004), Chinese Ministry of Education (No. 20110071120001) and the Programme of IntroducingTalents of Discipline to Universities of China (No. B08018). |
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| Abstract： |
Calibration and identification of the exchange effect between the karst aquifers
and the underlying conduit network are important issues in order to gain a better understanding
of these hydraulic systems. Based on a coupled continuum pipe-flow (CCPF for
short) model describing flows in karst aquifers, this paper is devoted to the identification
of an exchange rate function, which models the hydraulic interaction between the fissured
volume (matrix) and the conduit, from the Neumann boundary data, i.e., matrix/conduit
seepage velocity. The authors formulate this parameter identification problem as a nonlinear
operator equation and prove the compactness of the forward mapping. The stable
approximate solution is obtained by two classic iterative regularization methods, namely,
the Landweber iteration and Levenberg-Marquardt method. Numerical examples on noisefree
and noisy data shed light on the appropriateness of the proposed approaches. |
Keywords： |
CCPF model, Landweber iteration, Levenberg-Marquardt method |
Classification： |
65N21, 65J20, 65J22 |
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