Paper Info
Title
L∞-error estimates of higher order mixed finite element approximations for elliptic optimal control problems
Abstract
In this paper, we investigate the L∞-error estimates of the numerical solutions of linear-quadratic elliptic control problems by using higher order mixed finite element methods. The state and co-state are approximated by the order k Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise polynomials of order kk≥1. Optimal L∞-error estimates are derived for both the control and the state approximations. These results are seemed to be new in the literature of the mixed finite element methods for optimal control problems.
Year
DOI
Venue
2012
10.1080/00207160.2012.704993
International Journal of Computer Mathematics
Keywords
Field
DocType
higher order,optimal control problem,mixed finite element method,elliptic optimal control problem,finite element space,linear-quadratic elliptic control problem,control variable,finite element method,order k,error estimate,order kk,finite element approximation
Mathematical optimization,Green's function,Optimal control,Polynomial,Mathematical analysis,Extended finite element method,Finite element method,Control variable,Piecewise,Mathematics,Mixed finite element method
Journal
Volume
Issue
ISSN
89
16
0020-7160
Citations 
PageRank 
References 
1
0.43
10
Authors
1
Name
Order
Citations
PageRank
Tianliang Hou111.11