Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergence free Virtual Elements for the Stokes problem on polygonal
  meshes   In the present paper we develop a new family of Virtual Elements for the
Stokes problem on polygonal meshes. By a proper choice of the Virtual space of
velocities and the associated degrees of freedom, we can guarantee that the
final discrete velocity is pointwise divergence-free, and not only in a relaxed
(projected) sense, as it happens for more standard elements. Moreover, we show
that the discrete problem is immediately equivalent to a reduced problem with
less degrees of freedom, thus yielding a very efficient scheme. We provide a
rigorous error analysis of the method and several numerical tests, including a
comparison with a different Virtual Element choice.

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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph