A Multigrid Method for an Optimal Control Problem of a Diffusion-convection Equation

نویسندگان

  • Hunki Baek
  • Sang Dong Kim
  • Hyung-Chun Lee
  • HYUNG-CHUN LEE
چکیده

In this article, an optimal control problem associated with convection-diffusion equation is considered. Using Lagrange multiplier, the optimality system is obtained. The derived optimal system becomes coupled, non-symmetric partial differential equations. For discretizations and implementations, the finite element multigrid V -cycle is employed. The convergence analysis of finite element multigrid methods for the derived optimal system is shown. Some numerical simulations are performed.

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تاریخ انتشار 2009