Journal article
Adaptive finite element methods for the identification of distributed parameters in elliptic equation

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Author list: Feng, Tao
Publication year: 2008
Start page: 27
End page: 53
Number of pages: 27
ISSN: 1019-7168

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


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