Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of FETI-based domain decomposition methods for topology
  optimization problems   We critically assess the performance of several variants of dual and
dual-primal domain decomposition strategies in problems with fixed subdomain
partitioning and high heterogeneity in stiffness coefficients typically arising
in topology optimization of modular structures. Our study considers Total FETI
and FETI Dual-Primal methods along with three enhancements: k-scaling, full
orthogonalization of the search directions, and considering multiple
search-direction at once, which gives us twelve variants in total. We test
these variants both on academic examples and snapshots of topology optimization
iterations. Based on the results, we conclude that (i) the original methods
exhibit very slow convergence in the presence of severe heterogeneity in
stiffness coefficients, which makes them practically useless, (ii) the full
orthogonalization enhancement helps only for mild heterogeneity, and (iii) the
only robust method is FETI Dual-Primal with multiple search direction and
k-scaling.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics