Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A diffuse interface box method for elliptic problems   We introduce a diffuse interface box method (DIBM) for the numerical
approximation on complex geometries of elliptic problems with Dirichlet
boundary conditions. We derive a priori $H^1$ and $L^2$ error estimates
highlighting the r\^{o}le of the mesh discretization parameter and of the
diffuse interface width. Finally, we present a numerical result assessing the
theoretical findings.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat