Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Basics of Weak Galerkin Finite Element Methods   The goal of this article is to clarify some misunderstandings and
inappropriate claims made in [6] regarding the relation between the weak
Galerkin (WG) finite element method and the hybridizable discontinuous Galerkin
(HDG). In this paper, the authors offered their understandings and
interpretations on the weak Galerkin finite element method by describing the
basics of the WG method and how WG can be applied to a model PDE problem in
various variational forms. In the authors' view, WG-FEM and HDG methods are
based on different philosophies and therefore represent different methodologies
in numerical PDEs, though they share something in common in their roots. A
theory and an example are given to show that the primal WG-FEM is not
equivalent to the existing HDG [9].

9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int