Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transparent boundary conditions in a Discontinuous Galerkin Trefftz
  method   The modeling and simulation of electromagnetic wave propagation is often
accompanied by a restriction to bounded domains which requires the introduction
of artificial boundaries. The corresponding boundary conditions should be
chosen in order to minimize parasitic reflections. In this paper, we
investigate a new type of transparent boundary condition for a discontinuous
Galerkin Trefftz finite element method. The choice of a particular basis
consisting of polynomial plane waves allows us to split the electromagnetic
field into components with a well specified direction of propagation. The
reflections at the artificial boundaries are then reduced by penalizing
components of the field incoming into the space-time domain of interest. We
formally introduce this concept, discuss its realization within the
discontinuous Galerkin framework, and demonstrate the performance of the
resulting approximations by numerical tests. A comparison with first order
absorbing boundary conditions, that are frequently used in practice, is made.
For a proper choice of basis functions, we observe spectral convergence in our
numerical test and an overall dissipative behavior for which we also give some
theoretical explanation.

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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: acc-phys