TY - JOUR
T1 - $L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods
AU - X. Xing & Y. Chen
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 441
EP - 456
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/820.html
KW - $L^∞$-error estimates, mixed finite element, optimal control.
AB - <p style="text-align: justify;">In this paper, we investigate the $L^∞$-error estimates
for the solutions of general optimal control problem by mixed finite
element methods. The state and co-state are approximated by the lowest
order Raviart-Thomas mixed finite element spaces and the control is
approximated by piecewise constant functions. We derive $L^∞$-error
estimates of optimal order both for the state variables and the control
variable.</p>