Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite elements for symmetric tensors in three dimension   We construct finite element subspaces of the space of symmetric tensors with
square-integrable divergence on a three-dimensional domain. These spaces can be
used to approximate the stress field in the classical Hellinger--Reissner mixed
formulation of the elasticty equations, when standard discontinous finite
element spaces are used to approximate the displacement field. These finite
element spaces are defined with respect to an arbitrary simplicial
triangulation of the domain, and there is one for each positive value of the
polynomial degree used for the displacements. For each degree, these provide a
stable finite element discretization. The construction of the spaces is closely
tied to discretizations of the elasticity complex, and can be viewed as the
three-dimensional analogue of the triangular element family for plane
elasticity previously proposed by Arnold and Winther.

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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: patt-sol