Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mimetic Spectral Element advection   We present a discretization of the linear advection of differential forms on
bounded domains. The framework previously established is extended to
incorporate the Lie derivative, $\mathcal L$, by means of Cartan's homotopy
formula. The method is based on a physics-compatible discretization with
spectral accuracy . It will be shown that the derived scheme has spectral
convergence with local mass conservation. Artificial dispersion depends on the
order of time integration.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex