大規模トラスの弾塑性解析に対する加速近接勾配法

抄録

A fast first-order optimization method is presented for the quasi-static elastoplastic analysis of large-scale truss structures. The incremental problem is formulated as an unconstrained nonsmooth convex optimization problem. An accelerated proximal gradient method is adopted for solving this unconstrained optimization problem efficiently. The most expensive computation of this method consists of some matrix-vector products, and the method is free from numerical solution of a system of linear equations.