Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A posteriori error analysis of a local adaptive discontinuous Galerkin
  method for convection-diffusion-reaction equations   We introduce a local adaptive discontinuous Galerkin method for
convection-diffusion-reaction equations. The proposed method is based on a
coarse grid and iteratively improves the solution's accuracy by solving local
elliptic problems in refined subdomains. For purely diffusion problems, we
already proved that this scheme converges under minimal regularity assumptions
[A. Abdulle and G.Rosilho de Souza, ESAIM: M2AN, 53(4):1269--1303, 2019]. In
this paper, we provide an algorithm for the automatic identification of the
local elliptic problems' subdomains employing a flux reconstruction strategy.
Reliable error estimators are derived for the local adaptive method. Numerical
comparisons with a classical nonlocal adaptive algorithm illustrate the
efficiency of the method.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat