最优控制问题的一个超收敛分析

Super-convergence Analysis for Optimal Control Problems

对于椭圆最优控制问题,借助双k次矩形有限元空间理论及插值逼近性质、奇次矩形元导数恢复算子技术等,研究获得了最优控制问题在局部对称网格上的有限元逼近解的一个超收敛结果.

For optimal control problems governed by elliptic equations, a super-convergence result for finite element approximation solutions of the optimal control problems in locally symmetric meshes could be obtained by using the double k rectangular finite element space theory, its interpolation approximation properties, and the derivative recovery operator technique of odd-degree rectangular elements.