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A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations |
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| Authors: | YanPing Chen YunQing Huang NianYu Yi |
| Affiliation: | (1) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China;(2) Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, China |
| Abstract: | In this paper,we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations.A spectral approximation scheme for the parabolic optimal control problem is presented.We obtain a posteriori error estimates of the approximated solutions for both the state and the control. |
| Keywords: | Legendre Galerkin spectral method optimal control problems parabolic state equations a posteriori error estimates |
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