Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Staggered discontinuous Galerkin methods for the Helmholtz equations
  with large wave number   In this paper we investigate staggered discontinuous Galerkin method for the
Helmholtz equation with large wave number on general quadrilateral and
polygonal meshes. The method is highly flexible by allowing rough grids such as
the trapezoidal grids and highly distorted grids, and at the same time, is
numerical flux free. Furthermore, it allows hanging nodes, which can be simply
treated as additional vertices. By exploiting a modified duality argument, the
stability and convergence can be proved under the condition that $\kappa h$ is
sufficiently small, where $\kappa$ is the wave number and $h$ is the mesh size.
Error estimates for both the scalar and vector variables in $L^2$ norm are
established. Several numerical experiments are tested to verify our theoretical
results and to present the capability of our method for capturing singular
solutions.

37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph