Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain decomposition for quasi-periodic scattering by layered media via
  robust boundary-integral equations at all frequencies   We develop a non-overlapping domain decomposition method (DDM) for scalar
wave scattering by periodic layered media. Our approach relies on robust
boundary-integral equation formulations of Robin-to-Robin (RtR) maps throughout
the frequency spectrum, including cutoff (or Wood) frequencies. We overcome the
obstacle of non-convergent quasi-periodic Green functions at these frequencies
by incorporating newly introduced shifted Green functions. Using the latter in
the definition of quasi-periodic boundary-integral operators leads to
rigorously stable computations of RtR operators. We develop Nystr\"om
discretizations of the RtR maps that rely on trigonometric interpolation,
singularity resolution, and fast convergent windowed quasi-periodic Green
functions. We solve the tridiagonal DDM system via recursive Schur complements
and establish rigorously that this procedure is always completed successfully.
We present a variety of numerical results concerning Wood frequencies in two
and three dimensions as well as large numbers of layers.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc