Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A staggered discontinuous Galerkin method for a class of nonlinear
  elliptic equations   In this paper, we present a staggered discontinuous Galerkin (SDG) method for
a class of nonlinear elliptic equations in two dimensions. The SDG methods have
some distinctive advantages, and have been successfully applied to a wide range
of problems including Maxwell equations, acoustic wave equation, elastodynamics
and incompressible Navier-Stokes equations. Among many advantages of the SDG
methods, one can apply a local post-processing technique to the solution, and
obtain superconvergence. We will analyze the stability of the method and derive
a priori error estimates. We solve the resulting nonlinear system using the
Newton's method, and the numerical results confirm the theoretical rates of
convergence and superconvergence.

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The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom