Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Fracture Multiscale Model for Peridynamic enrichment within the
  Partition of Unity Method: Part I   Partition of unity methods (PUM) are of domain decomposition type and provide
the opportunity for multiscale and multiphysics numerical modeling. Different
physical models can exist within a PUM scheme for handling problems with zones
of linear elasticity and zones where fractures occur. Here, the peridynamic
(PD) model is used in regions of fracture and smooth PUM is used in the
surrounding linear elastic media. The method is a so-called global-local
enrichment strategy. The elastic fields of the undamaged media provide
appropriate boundary data for the localized PD simulations. The first steps for
a combined PD/PUM simulator are presented. In part I of this series, we show
that the local PD approximation can be utilized to enrich the global PUM
approximation to capture the true material response with high accuracy
efficiently. Test problems are provided demonstrating the validity and
potential of this numerical approach.

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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat