Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multipoint stress mixed finite element method for elasticity on
  simplicial grids   We develop a new multipoint stress mixed finite element method for linear
elasticity with weakly enforced stress symmetry on simplicial grids. Motivated
by the multipoint flux mixed finite element method for Darcy flow, the method
utilizes the lowest order Brezzi-Douglas-Marini finite element spaces for the
stress and the vertex quadrature rule in order to localize the interaction of
degrees of freedom. This allows for local stress elimination around each
vertex. We develop two variants of the method. The first uses a piecewise
constant rotation and results in a cell-centered system for displacement and
rotation. The second uses a piecewise linear rotation and a quadrature rule for
the asymmetry bilinear form. This allows for further elimination of the
rotation, resulting in a cell-centered system for the displacement only.
Stability and error analysis is performed for both variants. First-order
convergence is established for all variables in their natural norms. A duality
argument is further employed to prove second order superconvergence of the
displacement at the cell centers. Numerical results are presented in
confirmation of the theory.

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The categories of this paper are: stat
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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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: q-fin