| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 43 Number 3
Volume 43 Number 2
Volume 43 Number 1
Volume 43S Number 1
Volume 42 Number 6
Volume 42S Number 1
Earlier issues
Volume 42 Number 2 Volume 42 Number 3 Volume 42 Number 4

previous article next article 1

Research articles

ScienceAsia 42(2016): 213-221 |doi: 10.2306/scienceasia1513-1874.2016.42.213


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.

Download PDF

0 Download 31 View


a Key Laboratory for Nonlinear Science and System Structure, Key Laboratory of Signal and Information Processing, Chongqing Three Gorges University, Chongqing 404000, China
b Research Centre for Mathematics and Economics, Tianjin University of Finance and Economics, Tianjin 300222, China

* Corresponding author, E-mail: zulianglux@126.com

Received 9 Apr 2015, Accepted 0 0000