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A priori error estimates of mixed finite element methods for nonlinear quadratic convex optimal control problem

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2 Author(s)
Zhang, H.W. ; Coll. of Math & Comput. Sci., Changsha Univ. of Sci. & Technol., Changsha ; Lu, Z.L.

In this paper, we study an a priori error analysis for the quadratic optimal control problems governed by nonlinear elliptic partial differential equations using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. A priori error estimates for the mixed finite element approximation of nonlinear optimal control problems is obtained. Some numerical examples are presented to confirm our theoretical results.

Published in:

Electrical Engineering, Computing Science and Automatic Control, 2008. CCE 2008. 5th International Conference on

Date of Conference:

12-14 Nov. 2008