A characteristic finite element method for optimal control problems governed by convection-diffusion equations

作者：Fu, Hongfei^*

来源：Journal of Computational and Applied Mathematics, 2010, 235(3): 825-836.

DOI：10.1016/j.cam.2010.07.010

• Characteristic finite element method
• Optimal control problems
• Convection-diffusion equations
• Pointwise inequality constraints
• A priori error estimates

In this paper we analyze a characteristic finite element approximation of convex optimal control problems governed by linear convection-dominated diffusion equations with pointwise inequality constraints on the control variable, where the state and co-state variables are discretized by piecewise linear continuous functions and the control variable is approximated by either piecewise constant functions or piecewise linear discontinuous functions. A priori error estimates are derived for the state, co-state and the control. Numerical examples are given to show the efficiency of the characteristic finite element method.

• 出版日期2010-12-1
• 单位中国石油大学（北京）