Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase-field modeling of multivariant martensitic transformation at
  finite-strain: computational aspects and large-scale finite-element
  simulations   Large-scale 3D martensitic microstructure evolution problems are studied
using a finite-element discretization of a finite-strain phase-field model. The
model admits an arbitrary crystallography of transformation and arbitrary
elastic anisotropy of the phases, and incorporates Hencky-type elasticity, a
penalty-regularized double-obstacle potential, and viscous dissipation. The
finite-element discretization of the model is performed in Firedrake and relies
on the PETSc solver library. The large systems of linear equations arising are
efficiently solved using GMRES and a geometric multigrid preconditioner with a
carefully chosen relaxation. The modeling capabilities are illustrated through
a 3D simulation of the microstructure evolution in a pseudoelastic CuAlNi
single crystal during nano-indentation, with all six orthorhombic martensite
variants taken into account. Robustness and a good parallel scaling performance
have been demonstrated, with the problem size reaching 150 million degrees of
freedom.

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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th