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Mixed finite element methods for identification distributed parameters

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1 Author(s)
Zuliang Lu ; Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China

We study a priori error estimates of mixed finite element methods for identification distributed parameters. The state and the co-state are discretized by the lowest order Raviart-Thomas mixed finite element spaces and the control is discretized by piecewise constant elements. Then, we construct the mixed finite element discretization for the identification distributed parameters. Furthermore, we derive a priori error estimates for the coupled state and control approximation. Finally, we present a numerical example which confirm our theoretical results.

Published in:

Electrical Engineering Computing Science and Automatic Control (CCE), 2010 7th International Conference on

Date of Conference:

8-10 Sept. 2010