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
AU - Ningning Yan & Zhaojie Zhou
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 - <p style="text-align: justify;">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.</p>