Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free-Stream Preservation for Curved Geometrically Non-Conforming
  Discontinuous Galerkin Spectral Elements   The under integration of the volume terms in the discontinuous Galerkin
spectral element approximation introduces errors at non-conforming element
faces that do not cancel and lead to free-stream preservation errors. We derive
volume and face conditions on the geometry under which a constant state is
preserved. From those, we catalog six special cases on the geometry that
preserve a constant state, the most general being to approximate the geometry
sub-parametrically to one half the order of the solution. Numerical examples
are presented to illustrate the results.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con