DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD WITH INTERIOR PENALTIES FOR CONVECTION DIFFUSION OPTIMAL CONTROL PROBLEM

作者：Sun Tongjun^*

来源：International Journal of Numerical Analysis and Modeling, 2010, 7(1): 87-107.

• discontinuous Galerkin method
• convection-diffusion equation
• optimal control problem
• a priori error estimates
• a posteriori error estimates

In this paper, a discontinuous Galerkin finite element method with interior penalties for convection-diffusion optimal control problem is studied. A semi-discrete time DG scheme for this problem is presented. We analyze the stability of this scheme, and derive a priori and a posteriori error estimates for both the state and the control approximation

• 出版日期2010
• 单位山东大学