Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical analysis of a new formulation for the Oseen equations in terms
  of vorticity and Bernoulli pressure   A variational formulation is introduced for the Oseen equations written in
terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled
using the momentum balance equation, and it is later recovered by a
post-process. A finite element method is also proposed, consisting in
equal-order N\'ed\'elec finite elements and piecewise continuous polynomials
for the vorticity and the Bernoulli pressure, respectively. The {\it a priori}
error analysis is carried out in the $\mathrm{L}^2$-norm for vorticity,
pressure, and velocity; under a smallness assumption either on the convecting
velocity, or on the mesh parameter. Furthermore, an {\it a posteriori} error
estimator is designed and its robustness and efficiency are studied using
weighted norms. Finally, a set of numerical examples in 2D and 3D is given,
where the error indicator serves to guide adaptive mesh refinement. These tests
illustrate the behaviour of the new formulation in typical flow conditions, and
they also confirm the theoretical findings.

20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat