Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $C^1$ Virtual Element Method on polyhedral meshes   The purpose of the present paper is to develop $C^1$ Virtual Elements in
three dimensions for linear elliptic fourth order problems, motivated by the
difficulties that standard conforming Finite Elements encounter in this
framework. We focus the presentation on the lowest order case, the
generalization to higher orders being briefly provided in the Appendix. The
degrees of freedom of the proposed scheme are only 4 per mesh vertex,
representing function values and gradient values. Interpolation error estimates
for the proposed space are provided, together with a set of numerical tests to
validate the method at the practical level.

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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: eess