Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis and computation of a pressure-robust method for the rotation
  form of the stationary incompressible Navier-Stokes equations by using
  high-order finite elements   In this work, we develop a high-order pressure-robust method for the rotation
form of the stationary incompressible Navier-Stokes equations. The original
idea is to change the velocity test functions in the discretization of
trilinear and right hand side terms by using an H(div)-conforming velocity
reconstruction operator. In order to match the rotation form and error
analysis, a novel skew-symmetric discrete trilinear form containing the
reconstruction operator is proposed, in which not only the velocity test
function is changed. The corresponding well-posed discrete weak formulation
stems straight from the classical inf-sup stable mixed conforming high-order
finite elements, and it is proven to achieve the pressure-independent velocity
errors. Optimal convergence rates of H1, L2-error for the velocity and L2-error
for the Bernoulli pressure are completely established. Adequate numerical
experiments are presented to demonstrate the theoretical results and the
remarkable performance of the proposed method.

4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex