Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A C^0-Weak Galerkin Finite Element Method for the Biharmonic Equation   A C^0-weak Galerkin (WG) method is introduced and analyzed for solving the
biharmonic equation in 2D and 3D. A weak Laplacian is defined for C^0 functions
in the new weak formulation. This WG finite element formulation is symmetric,
positive definite and parameter free. Optimal order error estimates are
established in both a discrete H^2 norm and the L^2 norm, for the weak Galerkin
finite element solution. Numerical results are presented to confirm the theory.
As a technical tool, a refined Scott-Zhang interpolation operator is
constructed to assist the corresponding error estimate. This refined
interpolation preserves the volume mass of order (k+1-d) and the surface mass
of order (k+2-d) for the P_{k+2} finite element functions in d-dimensional
space.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom