Affiliation:
1. School of Mathematical Sciences South China Normal University Guangzhou People's Republic of China
2. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science Xiangtan University Xiangtan People's Republic of China
Abstract
AbstractWe investigate in the article the L2‐norm state constrained control problem with first bi‐harmonic equation. First, the optimality conditions of the control problem are derived carefully, and spectral discretization of the problem is established. Based on the property of projection operator, we establish a priori error analysis for control variable, state, and adjoint state variable. Furthermore, the efficient projected gradient algorithm is proposed, and the numerical results we obtained verify the analytical results that it can provide high order accuracy and fast convergence rate.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis
Cited by
1 articles.
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