Feng, Tao, Yan, Ningning, Liu, Wenbin (2008) Adaptive Finite Element Methods for the Identification of Distribution Parameters in Elliptic Equation. Advances in Computational Mathematics, 29 (1). pp. 27-53. ISSN 1019-7168. (doi:10.1007/s10444-007-9035-6) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:3206)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1007/s10444-007-9035-6 |
Abstract
In this paper, adaptive finite element method is developed for the estimation
of distributed parameter in elliptic equation. Both upper and lower error bound
are derived and used to improve the accuracy by appropriate mesh refinement.
An efficient preconditioned project gradient algorithm is employed to solve the
nonlinear least-squares problem arising in the context of parameter identification
problem. The efficiency of our error estimators is demonstrated by some numerical
experiments.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1007/s10444-007-9035-6 |
| Additional information: | This article was originally published online on 25th July 2007, but has now been printed. |
| Uncontrolled keywords: | Parameter identification · Finite element approximation · Adaptive finite element methods · Least-squares · Gauss–Newton |
| Subjects: |
H Social Sciences > HA Statistics > HA33 Management Science Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Kent Business School - Division > Kent Business School (do not use) |
| Depositing User: | Suzanne Duffy |
| Date Deposited: | 14 May 2008 06:52 UTC |
| Last Modified: | 05 Nov 2024 09:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/3206 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Liu, Wenbin.
| Creator's ORCID: |
 https://orcid.org/0000-0001-5966-6235
|
|---|---|
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