On the numerical solution of the distributed parameter identification problem
Abstract
A new error estimate is derived for the numerical identification of a distributed parameter a(x) in a two point boundary value problem, for the case that the finite element method and the fit-to-data output-least-squares technique are used for the identifications. With a special weighted norm, we get a pointwise estimate. Prom the error estimate and also from the numerical tests, we find that if we decrease the mesh size, the maximum error between the identified parameter and the true parameter will increase. In order to improve the accuracy, higher order finite element spaces should be used in the approximations.
Main Authors
Format
Books
Book part
Published
1991
Subjects
Publisher
Birkhäuser
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201902261657Use this for linking
Parent publication ISBN
978-3-7643-2676-0
Review status
Peer reviewed
DOI
https://doi.org/10.1007/978-3-0348-6418-3_22
Language
English
Is part of publication
Estimation and Control of Distributed Parameter Systems
Citation
- Tai, X.C., Neittaanmäki, P. (1991). On the numerical solution of the distributed parameter identification problem. In F. Kappel & K. Kunisch (Eds) Estimation and Control of Distributed Parameter Systems, pp. 317-330. doi:10.1007/978-3-0348-6418-3_22
License
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The material is available for reading at the archive workstation of the University of Jyväskylä Library.
The material is available for reading at the archive workstation of the University of Jyväskylä Library.
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