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Adaptive Finite Element Methods for the Identification of Distribution Parameters in Elliptic Equation

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: 16 Nov 2021 09:41 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/3206 (The current URI for this page, for reference purposes)
Liu, Wenbin: https://orcid.org/0000-0001-5966-6235
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