Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform in time error estimates for a finite element method applied to a
  downscaling data assimilation algorithm for the Navier-Stokes equations   In this paper we analyze a finite element method applied to a continuous
downscaling data assimilation algorithm for the numerical approximation of the
two and three dimensional Navier-Stokes equations corresponding to given
measurements on a coarse spatial scale. For representing the coarse mesh
measurements we consider different types of interpolation operators including a
Lagrange interpolant. We obtain uniform-in-time estimates for the error between
a finite element approximation and the reference solution corresponding to the
coarse mesh measurements. We consider both the case of a plain Galerkin method
and a Galerkin method with grad-div stabilization. For the stabilized method we
prove error bounds in which the constants do not depend on inverse powers of
the viscosity. Some numerical experiments illustrate the theoretical results.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph