On Equivalence between Optimality Criteria and Projected Gradient Methods with Application to Topology Optimization Problem

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dc.creatorAnaniev, Sergey
dc.date2006-09-07
dc.date.accessioned2026-07-07T07:24:38Z
dc.date.available2026-07-07T07:24:38Z
dc.descriptionThe paper demonstrates the equivalence between the optimality criteria (OC) method, initially proposed by Bendsoe & Kikuchi for topology optimization problem, and the projected gradient method. The equivalence is shown using Hestenes definition of Lagrange multipliers. Based on this development, an alternative formulation of the Karush-Kuhn-Tucker (KKT) condition is suggested. Such reformulation has some advantages, which will be also discussed in the paper. For verification purposes the modified algorithm is applied to the design of tension-only structures.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0609218
dc.identifierhttp://arxiv.org/abs/math/0609218
dc.identifierEUROMECH 442, Colloquium on Computer-Aided Optimization of Mechanical System, 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116430
dc.subjectOptimization and Control
dc.subject65K99
dc.titleOn Equivalence between Optimality Criteria and Projected Gradient Methods with Application to Topology Optimization Problem
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