Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Weak Galerkin Mixed Finite Element Method for Second-Order Elliptic
  Problems   A new weak Galerkin (WG) method is introduced and analyzed for the second
order elliptic equation formulated as a system of two first order linear
equations. This method, called WG-MFEM, is designed by using discontinuous
piecewise polynomials on finite element partitions with arbitrary shape of
polygons/polyhedra. The WG-MFEM is capable of providing very accurate numerical
approximations for both the primary and flux variables. Allowing the use of
discontinuous approximating functions on arbitrary shape of polygons/polyhedra
makes the method highly flexible in practical computation. Optimal order error
estimates in both discrete $H^1$ and $L^2$ norms are established for the
corresponding weak Galerkin mixed finite element solutions.

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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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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: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex