Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640662 | Journal of Computational and Applied Mathematics | 2009 | 17 Pages |
Abstract
The Ciarlet–Raviart mixed finite element approximation is constructed to solve the constrained optimal control problem governed by the first bi-harmonic equation. The optimality conditions consisting of the state and the co-state equations is derived. Also, the a priori error estimates are analyzed. In the analysis of the a priori error estimates, the improved convergent rate of the higher order than existed results is proved. Some numerical experiments are performed to confirm the theoretical analysis for the a priori error estimate.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Weidong Cao, Danping Yang,