Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A computational method for the Helmholtz equation in unbounded domains
  based on the minimization of an integral functional   We study a new approach to the problem of transparent boundary conditions for
the Helmholtz equation in unbounded domains. Our approach is based on the
minimization of an integral functional arising from a volume integral
formulation of the radiation condition. The index of refraction does not need
to be constant at infinity and may have some angular dependency as well as
perturbations. We prove analytical results on the convergence of the
approximate solution. Numerical examples for different shapes of the artificial
boundary and for non-constant indexes of refraction will be presented.

35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th