Welcome to the OPTPDE Problem Collection
Global classification: linear-quadratic, convex
Functional: convex quadratic
Geometry: easy, fixed
Design: coupled via volume data
- linear elliptic operator of order 2.
- Defined on a 2-dim domain in 2-dim space
- No time dependence.
- box of order 0
Submitted on 2014-02-15 by Winnifried Wollner. Published on 2017-01-09
The following optimality system for the state , the control , the adjoint state , and the Lagrange multipliers for the lower and upper inequality constraint, respectively, given in the strong form, characterizes the unique minimizer.
A. Günther and M. Hinze. A-posteriori error control of a state constrained elliptic control problem. Journal of Numerical Mathematics, 16:307–322, 2008. doi: 10.1515/JNUM.2008.014.