Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint |
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| Authors: | Dingfang Li Xiulian Shi |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, China;2. School of Mathematics and Statistics, Zhaoqing University, Zhaoqing, China |
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| Abstract: | We investigate the spectral approximation of optimal control governed by Stokes equations with integral state constraint. A good choice for basis functions leads the discrete system with sparse matrices. The optimality conditions are derived, a priori and a posteriori error estimates are presented in both H1 and L2 norms. Numerical experiment indicates the high precision can be achieved with the proposed method. |
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| Keywords: | Legendre polynomials optimal control spectral method state constraint stokes equations |
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