Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Electromagnetic Frequency Domain Analysis with Discrete
  Exterior Calculus   In this paper, we perform a numerical analysis in frequency domain for
various electromagnetic problems based on discrete exterior calculus (DEC) with
an arbitrary 2-D triangular or 3-D tetrahedral mesh. We formulate the governing
equations in terms of DEC for 3D and 2D inhomogeneous structures, and also show
that the charge continuity relation is naturally satisfied. Then we introduce
effective signed dual volume to incorporate material information into Hodge
star operators and take into account the case when circumcenters fall outside
triangles or tetrahedrons, which may lead to negative dual volume without
Delaunay triangulation. Then we demonstrate the implementation of various
boundary conditions, including perfect magnetic conductor (PMC), perfect
electric conductor (PEC), Dirichlet, periodic, and absorbing boundary
conditions (ABC) within this method. An excellent agreement is achieved through
the numerical calculation of several problems, including homogeneous
waveguides, microstructured fibers, photonic crystals, scattering by a 2-D PEC,
and resonant cavities.

17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con