Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstandard finite element de Rham complexes on cubical meshes   We propose two general operations on finite element differential complexes on
cubical meshes that can be used to construct and analyze sequences of
"nonstandard" convergent methods. The first operation, called DoF-transfer,
moves edge degrees of freedom to vertices in a way that reduces global degrees
of freedom while increasing continuity order at vertices. The second operation,
called serendipity, eliminates interior bubble functions and degrees of freedom
locally on each element without affecting edge degrees of freedom. These
operations can be used independently or in tandem to create nonstandard
complexes that incorporate Hermite, Adini and "trimmed-Adini" elements. We show
that the resulting elements provide convergent, non-conforming methods for
problems requiring stronger regularity and satisfy a discrete Korn inequality.
We discuss potential benefits of applying these elements to Stokes, biharmonic
and elasticity problems.

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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol