Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Discontinuous Galerkin Schemes for the Euler Equations
  via Dissipative Weak Solutions   In this paper, we present convergence analysis of high-order finite element
based methods, in particular, we focus on a discontinuous Galerkin scheme using
summation-by-parts operators. To this end, it is crucial that structure
preserving properties, such as positivity preservation and entropy inequality
hold. We demonstrate how to ensure them and prove the convergence of our
multidimensional high-order DG scheme via dissipative weak solutions. In
numerical simulations, we verify our theoretical results.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio