A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

作者：Luo Xianbing; Chen Yanping^*; Huang Yunqing

来源：ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2013, 5(5): 688-704.

DOI：10.4208/aamm.12-m1296

• Variational discretization
• parabolic optimal control problems
• finite volume element method
• distributed control
• Crank-Nicolson

In this paper, the Crank-Nicolson linear finite volume element method is applied to solve the distributed optimal control problems governed by a parabolic equation. The optimal convergent order O(h(2)+ k(2)) is obtained for the numerical solution in a discrete L-2-norm. A numerical experiment is presented to test the theoretical result.

• 单位
  贵州大学; 华南师范大学