Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Alternative Analysis of Discontinuous Galerkin Method for Hyperbolic
  Conservation Law   The development and application of the Discontinuous Galerkin (DG) method
have attracted great attention in computational fluid dynamics (CFD) com-
munity in the past decades. The underlying reason for such an intensive
investigation is due to favorable properties of the DG method, such as higher
order, compactness, and easy parallelization. However, for the compressible
flow simulations, the DG method is also associated with unfavorable prop-
erties, such as the frequent instabilities in non-smooth regions. Due to the
finite element formulation, except the update of the cell averaged conserva-
tive flow variable, it becomes rather difficulty to fully understand the
physical mechanism in the DG method for the updates of other degrees of freedom
in- side each element. In this short note, based on the linear advection
equation we are going to analyze the DG method in an alternative way. The
results obtained may be useful for the CFD community for its further
development of the DG methods.

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The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th