TY - JOUR
T1 - Discontinuous Galerkin Finite Element Method with Interior Penalties for Convection Diffusion Optimal Control Problem
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 87
EP - 107
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/711.html
KW - Discontinuous Galerkin method, convection-diffusion equation, optimal control problem, a priori error estimates, a posteriori error estimates.
AB - <p style="text-align: justify;">In this paper, a discontinuous Galerkin finite element method with interior
penalties for convection-diffusion optimal control problem is studied. A semi-discrete
time DG scheme for this problem is presented. We analyze the stability of this scheme,
and derive a priori and a posteriori error estimates for both the state and the control
approximation.</p>