Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonmonotone spectral projected gradient method for large-scale
  topology optimization problems   An efficient gradient-based method to solve the volume constrained topology
optimization problems is presented. Each iterate of this algorithm is obtained
by the projection of a Barzilai-Borwein step onto the feasible set consisting
of box and one linear constraints (volume constraint). To ensure the global
convergence, an adaptive nonmonotone line search is performed along the
direction that is given by the current and projection point. The adaptive
cyclic reuse of the Barzilai-Borwein step is applied as the initial stepsize.
The minimum memory requirement, the guaranteed convergence property, and almost
only one function and gradient evaluations per iteration make this new method
very attractive within common alternative methods to solve large-scale optimal
design problems. Efficiency and feasibility of the presented method are
supported by numerical experiments.

27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex