Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical multiscale method for fiber networks   Fiber network modeling can be used for studying mechanical properties of
paper. The individual fibers and the bonds in-between constitute a detailed
representation of the material. However, detailed microscale fiber network
models must be resolved with efficient numerical methods. In this work, a
numerical multiscale method for discrete network models is proposed that is
based on the localized orthogonal decomposition method [arXiv:1810.05059]. The
method is ideal for these network problems, because it reduces the maximum size
of the problem, it is suitable for parallelization, and it can effectively
solve fracture propagation.
  The problem analyzed in this work is the nodal displacement of a fiber
network given an applied load. This problem is formulated as a linear system
that is solved by using the aforementioned multiscale method. To solve the
linear system, the multiscale method constructs a low-dimensional solution
space with good approximation properties. The method is observed to work well
for unstructured fiber networks, with optimal rates of convergence obtainable
for highly localized configurations of the method.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph