Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable and convergent fully discrete interior-exterior coupling of
  Maxwell's equations   Maxwell's equations are considered with transparent boundary conditions, for
initial conditions and inhomogeneity having support in a bounded, not
necessarily convex three-dimensional domain or in a collection of such domains.
The numerical method only involves the interior domain and its boundary. The
transparent boundary conditions are imposed via a time-dependent boundary
integral operator that is shown to satisfy a coercivity property. The stability
of the numerical method relies on this coercivity and on an anti-symmetric
structure of the discretized equations that is inherited from a weak
first-order formulation of the continuous equations. The method proposed here
uses a discontinuous Galerkin method and the leapfrog scheme in the interior
and is coupled to boundary elements and convolution quadrature on the boundary.
The method is explicit in the interior and implicit on the boundary. Stability
and convergence of the spatial semidiscretization are proven, and with a
computationally simple stabilization term, this is also shown for the full
discretization.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph