Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A consistent solution of the reinitialization equation in the
  conservative level-set method   In this paper, a new re-initialization method for the conservative level-set
function is put forward. First, it has been shown that the re-initialization
and advection equations of the conservative level-set function are
mathematically equivalent to the re-initialization and advection equations of
the localized signed distance function. Next, a new discretization for the
spatial derivatives of the conservative level-set function has been proposed.
This new discretization is consistent with the re-initialization procedure and
it guarantees a second-order convergence rate of the interface curvature on
gradually refined grids. The new re-initialization method does not introduce
artificial deformations to stationary and non-stationary interfaces, even when
the number of re-initialization steps is large.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an