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A priori error estimates of mixed methods for quadratic convex optimal control problem governed by nonlinear parabolic equations

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2 Author(s)
Lu, Z.L. ; Inst. for Comput. & Appl. Math., Xiangtan Univ., Xiangtan, China ; Chen, Y.P.

In this paper we investigate a priori error estimates of quadratic convex optimal control problem governed by nonlinear parabolic equations using mixed finite element methods. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. By applying some error estimates results of mixed finite element methods for parabolic equations, we derive a priori error estimates of optimal order both for the coupled state and the control approximation of the optimal control problem.

Published in:

Electrical Engineering, Computing Science and Automatic Control,CCE,2009 6th International Conference on

Date of Conference:

10-13 Jan. 2009

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