Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A formal construction of a divergence-free basis in the nonconforming
  virtual element method for the Stokes problem   We develop a formal construction of a pointwise divergence-free basis in the
nonconforming virtual element method of arbitrary order for the Stokes problem
introduced in [19]. The proposed construction can be seen as a generalization
of the divergence-free basis in Crouzeix-Raviart finite element space [10, 17]
to the virtual element space. Using the divergence-free basis obtained from our
construction, we can eliminate the pressure variable from the mixed system and
obtain a symmetric positive definite system. Several numerical tests are
presented to confirm the efficiency and the accuracy of our construction.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas