Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A finite element method for high-contrast interface problems with error
  estimates independent of contrast   We define a new finite element method for a steady state elliptic problem
with discontinuous diffusion coefficients where the meshes are not aligned with
the interface. We prove optimal error estimates in the $L^2$ norm and $H^1$
weighted semi-norm independent of the contrast between the coefficients.
Numerical experiments validating our theoretical findings are provided.

12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol