摘要
本文对一类非线性抛物最优控制问题给出了Crank-Nicolson有限元近似格式。对于状态y和伴随状态变量p采用线性协调有限元离散,对控制变量u采用分片常数近似;得到了控制和状态变量近似的先验误差估计O(h + hu + (∆t)2),为验证算法的有效性给出了数值算例。
In this paper, we present a Crank − Nicolson scheme combined with finite element approximation for a class of nonlinear parabolic optimal control problems, where thestate y and co-state p are discretized by picewise linear continuous function and the control u is approximations by picewise constant functions. Numerical experimentsverify that the convergence order is O(h + hU + (∆t)2).
出处
《运筹与模糊学》
2023年第4期4147-4166,共20页
Operations Research and Fuzziology
