ScienceAsia 42(2016): 213-221 |doi:
Superconvergence of triangular mixed finite element methods for nonlinear optimal control problems
Zuliang Lua,*, Shuhua Zhangb
ABSTRACT: In this paper, we investigate the superconvergence of nonlinear elliptic optimal control problems by using triangular mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We obtain the superconvergence of O(h3/2) for the control variable and coupled state variable. Numerical results demonstrating these superconvergence results are also presented.
||Key Laboratory for Nonlinear Science and System Structure, Key Laboratory of Signal and Information Processing, Chongqing Three Gorges University, Chongqing 404000, China
||Research Centre for Mathematics and Economics, Tianjin University of Finance and Economics, Tianjin 300222, China
* Corresponding author, E-mail: email@example.com
Received 9 Apr 2015, Accepted 11 Apr 2016