Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the stable discretization of strongly anisotropic phase field models
  with applications to crystal growth   We introduce unconditionally stable finite element approximations for
anisotropic Allen--Cahn and Cahn--Hilliard equations. These equations
frequently feature in phase field models that appear in materials science. On
introducing the novel fully practical finite element approximations we prove
their stability and demonstrate their applicability with some numerical
results.
  We dedicate this article to the memory of our colleague and friend Christof
Eck (1968--2011) in recognition of his fundamental contributions to phase field
models.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ