Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconvergent recovery of Raviart--Thomas mixed finite elements on
  triangular grids   For the second lowest-order Raviart--Thomas mixed method, we prove that the
canonical interpolant and finite element solution for the vector variable in
elliptic problems are superclose in the $H(\text{div})$-norm on mildly
structured meshes, where most pairs of adjacent triangles form approximate
parallelograms. We then develop a family of postprocessing operators for
Raviart--Thomas mixed elements on triangular grids by using the idea of local
least squares fittings. Super-approximation property of the postprocessing
operators for the lowest and second lowest order Raviart--Thomas elements is
proved under mild conditions. Combining the supercloseness and
super-approximation results, we prove that the postprocessed solution
superconverges to the exact solution in the $L^2$-norm on mildly structured
meshes.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat