VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Constrained optimal control problem Convection dominated diffusion equation Edge stabilization Galerkin method Variational discretization A priori error estimate A posteriori error estimate
• 年，卷（期）: 2009,（2）
• 页码范围: 237-253
• 页数: 17页
• 语种: 英文

摘要

In this paper, we study variational discretization for the constrained optimal control problem governed by convection dominated diffusion equations, where the state equation is approximated by the edge stabilization Galerkin method. A priori error estimates are derived for the state, the adjoint state and the control. Moreover, residual type a posteriori error estimates in the L2-norm are obtained. Finally, two numerical experiments are presented to illustrate the theoretical results.