Abstract
We study optimal control problems for semilinear parabolic equations subject to control constraints and for semilinear elliptic equations subject to control and state constraints. We quote known second-order sufficient optimality conditions (SSC) from the literature. Both problem classes, the parabolic one with boundary control and the elliptic one with boundary or distributed control, are discretized by a finite difference method. The discrete SSC are stated and numerically verified in all cases providing an indication of optimality where only necessary conditions had been studied before.
Original language | English (US) |
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Pages (from-to) | 93-110 |
Number of pages | 18 |
Journal | Computational Optimization and Applications |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1 2001 |
Keywords
- Control and state constraints
- Discretizations
- Elliptic and parabolic control problems
- Optimization methods
- Second-order sufficient conditions
ASJC Scopus subject areas
- Control and Optimization
- Computational Mathematics
- Applied Mathematics