摘要
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.
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.
基金
the National Basic Research Program
the National Natural Science Foundation of China(Grant No.2005CB321703)
Scientific Research Fund of Hunan Provincial Education Department
the Outstanding Youth Scientist of the National Natural Science Foundation of China(Grant No.10625106)
the National Basic Research Program of China(Grant No.2005CB321701)
