An EDG Method for Distributed Optimal Control of Elliptic PDEs

作者：Zhang, Xiao; Zhang, Yangwen; Singler, John^*

来源：Advances in Applied Mathematics and Mechanics, 2018, 10(4): 797-818.

DOI：10.4208/aamm.OA-2017-0223

• Distributed optimal control
• elliptic PDEs
• embedded discontinuous Galerkin method
• error analysis

We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.

• 出版日期2018-8
• 单位四川大学