A characteristic finite element method for optimal control problems governed by convection-diffusion equations |
| |
Authors: | Hongfei Fu |
| |
Affiliation: | School of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China |
| |
Abstract: | 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. |
| |
Keywords: | 49J20 65M15 65M25 65M60 |
本文献已被 ScienceDirect 等数据库收录! |
|