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Title: Augmenting the one-shot framework by additional constraints

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. Finally, 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.

Authors:
 [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1365847
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Optimization Methods and Software
Additional Journal Information:
Journal Volume: 31; Journal Issue: 6; Journal ID: ISSN 1055-6788
Publisher:
Taylor & Francis
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; automatic differentiation; constraints; eigenvalue analysis; nonlinear optimization; one-shot method; piggyback

Citation Formats

Bosse, Torsten. Augmenting the one-shot framework by additional constraints. United States: N. p., 2016. Web. doi:10.1080/10556788.2016.1180692.
Bosse, Torsten. Augmenting the one-shot framework by additional constraints. United States. doi:10.1080/10556788.2016.1180692.
Bosse, Torsten. Thu . "Augmenting the one-shot framework by additional constraints". United States. doi:10.1080/10556788.2016.1180692. https://www.osti.gov/servlets/purl/1365847.
@article{osti_1365847,
title = {Augmenting the one-shot framework by additional constraints},
author = {Bosse, Torsten},
abstractNote = {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. Finally, 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.},
doi = {10.1080/10556788.2016.1180692},
journal = {Optimization Methods and Software},
number = 6,
volume = 31,
place = {United States},
year = {2016},
month = {5}
}

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