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An algorithm for constrained optimization with applications to the design of mechanical structures

dc.contributor.authorBarbarosie, Cristian
dc.contributor.authorLopes, Sérgio
dc.contributor.authorToader, Anca-Maria
dc.date.accessioned2018-10-11T12:54:37Z
dc.date.available2018-10-11T12:54:37Z
dc.date.issued2018-09-14
dc.description.abstractWe propose an algorithm for minimizing a functional under constraints. It uses _rst order derivatives of both the objective function and the constraints. The step is computed as a sum between a steepest descent step (which minimizes the objective functional) and a correction step related to the Newton method (which aims to solve the equality constraints). The linear combination between these two steps envolves coefficients similar to Lagrange multipliers which are computed in a natural way based on the Newton method. The algorithm uses no projection and thus the iterates are not feasible; the constraints are only satis_ed in the limit (after convergence). Although the algorithm can be used as a general-purpose optimization tool, it is designed speci_cally for problems where _rst order derivatives of both objective and constraint functionals are available but not second order derivatives (as is often the case in structural optimization).pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBARBAROSIE, Cristian; LOPES, Sérgio; TOADER, Anca-Maria – An algorithm for constrained optimization with applications to the design of mechanical structures. EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization. ISBN 978-3-319-97772-0. (2018), pp. 272-284pt_PT
dc.identifier.doihttps://doi.org/10.1007/978-3-319-97773-7_25pt_PT
dc.identifier.isbn978-3-319-97772-0
dc.identifier.isbn978-3-319-97773-7
dc.identifier.urihttp://hdl.handle.net/10400.21/8914
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.subjectConstrained minimizationpt_PT
dc.subjectWorst case designpt_PT
dc.subjectMinimax problemspt_PT
dc.subjectActive set strategypt_PT
dc.titleAn algorithm for constrained optimization with applications to the design of mechanical structurespt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04561%2F2013/PT
oaire.citation.conferencePlace17-19 September, 2018 - Lisboa, Portugalpt_PT
oaire.citation.endPage284pt_PT
oaire.citation.startPage272pt_PT
oaire.citation.titleEngOpt 2018 - 6th International Conference on Engineering Optimizationpt_PT
oaire.fundingStream5876
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsclosedAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isProjectOfPublicationf474665c-537b-46cd-9822-9c5cda353701
relation.isProjectOfPublication.latestForDiscoveryf474665c-537b-46cd-9822-9c5cda353701

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