Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some new results on anisotropic singular perturbations of second
  order elliptic operators   In this article, we deal with some problems involving a class of singularly
perturbed elliptic operator. We prove the asymptotic preserving of a general
Galerkin method associated to a semilinear problem. We use a particular
Galerkin approximation to estimate the convergence rate on the whole domain,
for the linear problem. Finally, we study the asymptotic behavior of the
semigroup generated.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex