Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An efficient numerical framework for the amplitude expansion of the
  phase-field crystal model   The study of polycrystalline materials requires theoretical and computational
techniques enabling multiscale investigations. The amplitude expansion of the
phase field crystal model (APFC) allows for describing crystal lattice
properties on diffusive timescales by focusing on continuous fields varying on
length scales larger than the atomic spacing. Thus, it allows for the
simulation of large systems still retaining details of the crystal lattice.
Fostered by the applications of this approach, we present here an efficient
numerical framework to solve its equations. In particular, we consider a real
space approach exploiting the finite element method. An optimized
preconditioner is developed in order to improve the convergence of the linear
solver. Moreover, a mesh adaptivity criterion based on the local rotation of
the polycrystal is used. This results in an unprecedented capability of
simulating large, three-dimensional systems including the dynamical description
of the microstructures in polycrystalline materials together with their
dislocation networks.

34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an