Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Field Models versus Parametric Front Tracking Methods: Are they
  accurate and computationally efficient?   We critically compare the practicality and accuracy of numerical
approximations of phase field models and sharp interface models of
solidification. Particular emphasis is put on Stefan problems, and their
quasi-static variants, with applications to crystal growth. New approaches with
a high mesh quality for the parametric approximations of the resulting free
boundary problems and new stable discretizations of the anisotropic phase field
system are taken into account in a comparison involving benchmark problems
based on exact solutions of the free boundary problem.

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
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph