@Article{IJNAM-5-441, author = {X. Xing and Y. Chen}, title = {$L^∞$-Error Estimates for General Optimal Control Problem by Mixed Finite Element Methods}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {3}, pages = {441--456}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/820.html} }