Augmenting the oneshot framework by additional constraints
Abstract
The (multistep) oneshot method for design optimization problems has been successfully implemented for various applications. To this end, a slowly convergent primal fixedpoint 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:

 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:
 AC0206CH11357
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Optimization Methods and Software
 Additional Journal Information:
 Journal Volume: 31; Journal Issue: 6; Journal ID: ISSN 10556788
 Publisher:
 Taylor & Francis
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; automatic differentiation; constraints; eigenvalue analysis; nonlinear optimization; oneshot method; piggyback
Citation Formats
Bosse, Torsten. Augmenting the oneshot framework by additional constraints. United States: N. p., 2016.
Web. doi:10.1080/10556788.2016.1180692.
Bosse, Torsten. Augmenting the oneshot framework by additional constraints. United States. doi:10.1080/10556788.2016.1180692.
Bosse, Torsten. Thu .
"Augmenting the oneshot 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 oneshot framework by additional constraints},
author = {Bosse, Torsten},
abstractNote = {The (multistep) oneshot method for design optimization problems has been successfully implemented for various applications. To this end, a slowly convergent primal fixedpoint 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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