Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A finite element method to a periodic steady-state problem for an
  electromagnetic field system using the space-time finite element exterior
  calculus   This paper proposes a finite element method for solving the periodic
steady-state problem for the scalar-valued and vector-valued Poisson equations,
a simple reduction model of the Maxwell equations under the Coulomb gauge.
Introducing a new potential variable, we reformulate two systems composed of
the scalar-valued and vector-valued Poisson problems to a single Hodge-Laplace
problem for the 1-form in $\mathbb{R}^4$ using the standard de Rham complex.
Consequently, we can directly apply the Finite Element Exterior Calculus (FEEC)
theory in $\mathbb{R}^4$ to deduce the well-posedness, stability, and
convergence. Numerical examples using the cubical element are reported to
validate the theoretical results.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom