Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiscale modeling of linear elastic heterogeneous structures based on
  a localized model order reduction approach   In analyzing large scale structures it is necessary to take into account the
fine scale heterogeneity for accurate failure prediction. Resolving fine scale
features in the numerical model drastically increases the number of degrees of
freedom, thus making full fine-scale simulations infeasible, especially in
cases where the model needs to be evaluated many times. In this paper, a
methodology for fine scale modeling of large scale structures is proposed,
which combines the variational multiscale method, domain decomposition and
model order reduction. Addressing applications where the assumption of scale
separation does not hold, the influence of the fine scale on the coarse scale
is modelled directly by the use of an additive split of the displacement field.
Possible coarse and fine scale solutions are exploited for a representative
volume element (RVE) to construct local approximation spaces. The local spaces
are designed such that local contributions of RVE subdomains can be coupled in
a conforming way. Therefore, the resulting global system of equations takes the
effect of the fine scale on the coarse scale into account, is sparse and
reduced in size compared to the full order model. Several numerical experiments
show the accuracy and efficiency of the method.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas