A characteristic finite element method for optimal control problems governed by convection-diffusion equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Fu, Hongfei

关键词: Characteristic finite element method;    Optimal control problems;    Convection-diffusion equations;    Pointwise inequality constraints;    A priori error estimates;   

DOI  :  10.1016/j.cam.2010.07.010

来源: Elsevier

【 摘 要 】

In this paper we analyze a characteristic finite element approximation of convex optimal control problems governed by linear convection-dominated diffusion equations with pointwise inequality constraints on the control variable, where the state and co-state variables are discretized by piecewise linear continuous functions and the control variable is approximated by either piecewise constant functions or piecewise linear discontinuous functions. A priori error estimates are derived for the state, co-state and the control. Numerical examples are given to show the efficiency of the characteristic finite element method. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free