Argonne National Laboratory

Augmenting the One-Shot Framework by Additional Constraints

TitleAugmenting the One-Shot Framework by Additional Constraints
Publication TypeJournal Article
Year of Publication2016
AuthorsBosse, T
JournalOptimization Methods & Software
Volume17
Issue1
Pagination1055-6788
Abstract

The (multistep) one-shot method for design optimization problems has been successfully implemented for various applications. To this end, a slowly convergent primal fixed-point iteration of the state equation is augmented by an adjoint iteration and a corresponding preconditioned design update. In this paper we present a modification of the method that allows for additional equality constraints besides the usual state equation. A retardation analysis and the local convergence of the method in terms of necessary and sufficient conditions are given, which depend on key characteristics of the underlying problem and the quality of the utilized preconditioner.
 

DOI10.1080/10556788.2016.1180692
PDFhttp://www.mcs.anl.gov/papers/P5373-0615.pdf