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

DOI:
https://doi.org/10.1090/S0025-5718-1983-0689469-3

MathSciNet review:
689469

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1983-0689469-3

Keywords:
Inverse problem,
identification problem

Article copyright:
© Copyright 1983
American Mathematical Society