Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform Stability and Error Analysis for Some Discontinuous Galerkin
  Methods   In this paper, we provide a number of new estimates on the stability and
convergence of both hybrid discontinuous Galerkin (HDG) and weak Galerkin (WG)
methods. By using the standard Brezzi theory on mixed methods, we carefully
define appropriate norms for the various discretization variables and then
establish that the stability and error estimates hold uniformly with respect to
stabilization and discretization parameters. As a result, by taking appropriate
limit of the stabilization parameters, we show that the HDG method converges to
a primal conforming method and the WG method converge to a mixed conforming
method.

30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th