Augmenting the one-shot framework by additional constraints. (1st November 2016)

• Record Type: Journal Article
• Authors: Bosse, Torsten
• Is Part Of: Optimization methods and software. Volume 31:Number 6(2016)
• Page Start: 1132
• Page End: 1148
• Publication Date: 2016-11-01
• Subjects: nonlinear optimization -- automatic differentiation -- piggyback -- one-shot method -- constraints -- eigenvalue analysis; 49M05 -- 65F08 -- 65F15 -- 90M50 -- 90C30; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2016.1180692
• Languages: English
• ISSNs: 1055-6788

Abstract

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.