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Error estimates for the numerical identification of a variable coefficient. (English) Zbl 0551.65083

Author’s summary: Error estimates are derived for the approximate identification of an unknown transmissivity coefficient in a partial differential equation describing a model problem in groundwater flow. The approximation scheme considered determines the coefficient by least squares fitting of the observed pressure data.
Reviewer: J.Prakash

MSC:

65Z05 Applications to the sciences
65N15 Error bounds for boundary value problems involving PDEs
76S05 Flows in porous media; filtration; seepage
35R30 Inverse problems for PDEs
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