Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consistency, convergence and error estimates for a mixed finite element
  / finite volume scheme to compressible Navier-Stokes equations with general
  inflow/outflow boundary data   We study convergence of a mixed finite element-finite volume scheme for the
compressible Navier Stokes equations in the isentropic regime under the full
range of the adiabatic coefficient gamma for the problem with general non zero
inflow/outflow boundary conditions. We propose a modification of Karper scheme
[Numer. Math. 125:441-510, 2013] in order to accommodate the non zero boundary
data, prove existence of its solutions, establish the stability and uniform
estimates, derive a convenient consistency formulation of the balance laws and
use it to show the weak convergence of the numerical solutions to a dissipative
solution with the Reynold defect introduced in Abbatiello et al. [Preprint
Arxiv 1912.12896]. If the target system admits a strong solution then the
convergence is strong towards the strong solution. Moreover, we establish the
convergence rate of the strong convergence in terms of the size of the space
discretization h (which is supposed to be comparable with the time step). In
the case of non zero inflow/outflow boundary data, all results are new. The
latter result is new also for the no-slip boundary conditions.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio