Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three Numerical Eigensolvers for 3-D Cavity Resonators Filled With
  Anisotropic and Nonconductive Media   This paper mainly investigates the classic resonant cavity problem with
anisotropic and nonconductive media, which is a linear vector Maxwell's
eigenvalue problem. The finite element method based on edge element of the
lowest-order and standard linear element is used to solve this type of 3-D
closed cavity problem. In order to eliminate spurious zero modes in the
numerical simulation, the divergence-free condition supported by Gauss' law is
enforced in a weak sense. After the finite element discretization, the
generalized eigenvalue problem with a linear constraint condition needs to be
solved. Penalty method, augmented method and projection method are applied to
solve this difficult problem in numerical linear algebra. The advantages and
disadvantages of these three computational methods are also given in this
paper. Furthermore, we prove that the augmented method is free of spurious
modes as long as the anisotropic material is not magnetic lossy. The projection
method based on singular value decomposition technique can be used to solve the
resonant cavity problem. Moreover, the projection method {cannot} introduce any
spurious modes. At last, several numerical experiments are carried out to
verify our theoretical results.

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg