Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variants of the Finite Element Method for the Parabolic Heat Equation:
  Comparative Numerical Study   Different variants of the method of weighted residual finite element method
are used to get a solution for the parabolic heat equation, which is considered
to be the model equation for the steady state Navier-Stokes equations. Results
show that the Collocation and the Least-Squares variants are more suitable for
first order systems. Results also show that the Galerkin/Least-Squares method
is more diffusive than other methods, and hence gives stable solutions for a
wide range of P\'eclet numbers.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys