Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An adaptive finite element DtN method for the open cavity scattering
  problems   Consider the scattering of a time-harmonic electromagnetic plane wave by an
open cavity which is embedded in a perfectly electrically conducting infinite
ground plane. This paper concerns the numerical solutions of the open cavity
scattering problems in both transverse magnetic and transverse electric
polarizations. Based on the Dirichlet-to-Neumann (DtN) map for each
polarization, a transparent boundary condition is imposed to reduce the
scattering problem equivalently into a boundary value problem in a bounded
domain. An a posteriori error estimate based adaptive finite element DtN method
is proposed. The estimate consists of the finite element approximation error
and the truncation error of the DtN operator, which is shown to decay
exponentially with respect to the truncation parameter. Numerical experiments
are presented for both polarizations to illustrate the competitive behavior of
the adaptive method.

21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int