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Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems

Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems
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Year:    2010

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 645–675

Abstract

In this paper, we study adaptive finite element discretisation schemes for a class of parameter estimation problem. We propose to use adaptive multi-meshes in developing efficient algorithms for the estimation problem. We derive equivalent a posteriori error estimators for both the state and the control approximation, which particularly suit an adaptive multi-mesh finite element scheme. The error estimators are then implemented and tested with promising numerical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2009.10-m1016

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 5 : pp. 645–675

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    31

Keywords:    Parameter estimation Finite element approximation Adaptive finite element methods A posteriori error estimate.

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