Title
L ∞-estimates of mixed finite element methods for general nonlinear optimal control problems.
Abstract
This paper investigates L ∞-estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using 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. The authors derive L ∞-estimates for the mixed finite element approximation of nonlinear optimal control problems. Finally, the numerical examples are given.
Year
DOI
Venue
2012
10.1007/s11424-011-9215-9
J. Systems Science & Complexity
Keywords
Field
DocType
L∞-error estimates, mixed finite element methods, nonlinear elliptic equations, optimal control problems, pointwise control constraints
Discontinuous Galerkin method,Mathematical optimization,Optimal control,Nonlinear system,Mathematical analysis,Extended finite element method,Finite element method,Mathematics,Piecewise,Mixed finite element method,Pointwise
Journal
Volume
Issue
ISSN
25
1
1559-7067
Citations 
PageRank 
References 
0
0.34
5
Authors
2
Name
Order
Citations
PageRank
tang163.27
Zuliang Lu200.34