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

Feng, Tao and Yan, Ningning and Liu, Steve 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. (The full text of this publication is not available from this repository)

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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
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: Faculties > Social Sciences > Kent Business School
Depositing User: Suzanne Duffy
Date Deposited: 14 May 2008 06:52
Last Modified: 23 Jun 2014 10:49
Resource URI: http://kar.kent.ac.uk/id/eprint/3206 (The current URI for this page, for reference purposes)
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