ScienceAsia - Journal of The Science Society of Thailand

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(h^3/2) for the control variable and coupled state variable. Numerical results demonstrating these superconvergence results are also presented.

Superconvergence of triangular mixed finite element methods for nonlinear optimal control problems

Zuliang Lu^a,*, Shuhua Zhang^b

Superconvergence of triangular mixed finite element methods for nonlinear optimal control problems

Zuliang Lua,*, Shuhua Zhangb

Zuliang Lu^a,*, Shuhua Zhang^b