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Mathematics of Computation

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Error estimates for the numerical identification of a variable coefficient

Author: Richard S. Falk
Journal: Math. Comp. 40 (1983), 537-546
MSC: Primary 65N99; Secondary 65N30
MathSciNet review: 689469
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Abstract: 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.

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Keywords: Inverse problem, identification problem
Article copyright: © Copyright 1983 American Mathematical Society