Error estimates of triangular mixed finite element methods for quasilinear optimal control problems |
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| Authors: | Yanping Chen Zuliang Lu Ruyi Guo |
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| Institution: | 1.School of Mathematical Sciences,South China Normal University,Guangzhou,China;2.College of Civil Engineering and Mechanics,Xiangtan University,Xiangtan,China;3.School of Mathematics and Statistics,China Three Gorges University,Chongqing,China;4.Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Department of Mathematics,Xiangtan University,Xiangtan,China |
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| Abstract: | The goal of this paper is to study a mixed finite element approximation of the general convex optimal control problems governed
by quasilinear elliptic partial differential equations. 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. We derive a priori error estimates
both for the state variables and the control variable. Finally, some numerical examples are given to demonstrate the theoretical
results. |
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