Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of a $C^2$ class finite element based on the Clough-Tocher
  subdivision   In this paper, we construct a $C^2$ finite element based on the Clough-Tocher
subdivision. We use derivatives order up to two at the vertices and cross
boundary derivatives order up to two along the exterior edges of the triangle.
The centroid of the triangle is just evaluated. The interpolant used is
globally $C^2,$ has local support, is piecewise polynomial of degree less or
equal to 5.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th