Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonconforming pressure-robust finite element method for the Stokes
  equations on anisotropic meshes   Most classical finite element schemes for the (Navier-)Stokes equations are
neither pressure-robust, nor are they inf-sup stable on general anisotropic
triangulations. A lack of pressure-robustness may lead to large velocity
errors, whenever the Stokes momentum balance is dominated by a strong and
complicated pressure gradient. It is a consequence of a method, which does not
exactly satisfy the divergence constraint. However, inf-sup stable schemes can
often be made pressure-robust just by a recent, modified discretization of the
exterior forcing term, using $\mathbf{H}(\operatorname{div})$-conforming
velocity reconstruction operators. This approach has so far only been analyzed
on shape-regular triangulations. The novelty of the present contribution is
that the reconstruction approach for the Crouzeix-Raviart method, which has a
stable Fortin operator on arbitrary meshes, is combined with results on the
interpolation error on anisotropic elements for reconstruction operators of
Raviart-Thomas and Brezzi-Douglas-Marini type, generalizing the method to a
large class of anisotropic triangulations. Numerical examples confirm the
theoretical results in a 2D and a 3D test case.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th