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

Preprint English OPEN
Ananiev, Sergey;
(2006)
  • Subject: Mathematics - Optimization and Control | 65K99
    arxiv: Mathematics::Optimization and Control

The 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. ... View more
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