Superconvergence for Optimal Control Problem Governed by Nonlinear Elliptic Equations |
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| Authors: | Yanzhen Chang Danping Yang |
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| Institution: | 1. Department of Mathematics , Beijing University of Chemical Technology , Beijing , P. R. China changyz@mail.buct.edu.cn;3. Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Pratice , East China Normal University , Shanghai , P. R. China |
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| Abstract: | In this article, we investigate the superconvergence of the finite element approximation for optimal control problem governed by nonlinear elliptic equations. The state and co-state are discretized by piecewise linear functions and control is approximated by piecewise constant functions. We give the superconvergence analysis for both the control variable and the state variables. Finally, the numerical experiments show the theoretical results. |
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| Keywords: | Nonlinear elliptic equation Optimal control problem Superconvergence |
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