Yang, D.P. and Chang, Y.Z. and Liu, W.B. (2008) A priori error estimate and superconvergence analysis for an optimal control problem of bilinear type. Journal of Computational Mathematics, 26 (4). pp. 471-487. ISSN 0254-9409.
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In this paper, we investigate a priori error estimates and superconvergence properties for a model optimal control problem of bilinear type, which includes some parameter estimation application. The state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions. We derive a priori error estimates and superconvergence analysis for both the control and the state approximations. We also give the optimal L-2-norm error estimates and the almost optimal L-infinity-norm estimates about the state and co-state. The results can be readily used for constructing a posteriori error estimators in adaptive finite element approximation of such optimal control problems.
|Uncontrolled keywords:||bilinear control problem; finite element approximation; superconvergence; a priori error estimate; a posteriori error estimator|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Social Sciences > Kent Business School > Management Science|
|Depositing User:||Louise Dorman|
|Date Deposited:||10 Mar 2009 11:23|
|Last Modified:||10 Mar 2009 11:23|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/15345 (The current URI for this page, for reference purposes)|
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