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A unified framework for approximation in inverse problems for distributed parameter systemsA theoretical framework is presented that can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results.
Document ID
19880008962
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Banks, H. T. (NASA Langley Research Center Hampton, VA, United States)
Ito, K. (NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 5, 2013
Publication Date
January 1, 1988
Subject Category
Numerical Analysis
Report/Patent Number
AD-A192757
NAS 1.26:181621
NASA-CR-181621
ICASE-88-12
Accession Number
88N18346
Funding Number(s)
PROJECT: RTOP 505-90-21-01
CONTRACT_GRANT: NAG1-517
CONTRACT_GRANT: NAS1-18107
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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