The first method is the accelerated linearized augmented Lagrangian method (LALM). At each update to the primal variable, it allows linearization to the ...
Jul 2, 2016 · The free material design can be formulated as an optimization problem. However, due to its large scale, second-order methods cannot solve the ...
Abstract. A small improvement in the structure of a material could potentially lower manufac- turing costs. Thus, the free material design can be formulated ...
We formulate the free material optimization (FMO) problem into a saddle-point form in which the inverse of the stiffness matrix A(E) in the constraint is ...
Download Free PDF. paper cover thumbnail. A Subgradient Method for Free Material Design. A Subgradient Method for Free Material Design. by Yurii Nesterov. SIAM ...
A subgradient method is presented for solving general convex optimization problems, the main requirement being that a strictly feasible point is known. A ...
A Subgradient Method for Free Material Design. Published: 2016/07/02; Michal ... methods cannot solve the free material design problem in reasonable size.
Kočvara Michal, Xia Y., Nesterov Y. : A Subgradient Method for Free Material Design , SIAM Journal on Optimization vol.26, 4 (2016), p.
Mar 4, 2022 · The paper deals with the Free Material Design \({(\text {FMD})}\) problem aimed at constructing the least compliant structures from an ...
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The goal of this paper is to formulate and solve free material optimization problems with constraints on the smallest eigenfrequency of the optimal ...