TY - JOUR T1 - A Priori and a Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 297 EP - 320 PY - 2008 DA - 2008/01 SN - 1 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nmtma/6053.html KW - Constrained optimal control problem, convection dominated diffusion equation, streamline diffusion finite element method, a priori error estimate, a posteriori error estimate. AB -

In this paper, we investigate a streamline diffusion finite element approximation scheme for the constrained optimal control problem governed by linear convection dominated diffusion equations. We prove the existence and uniqueness of the discretized scheme. Then a priori and a posteriori error estimates are derived for the state, the co-state and the control. Three numerical examples are presented to illustrate our theoretical results.