Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and convergence of a discontinuous Galerkin method for the
  incompressible three-phase flow problem in porous media   This paper presents and analyzes a discontinuous Galerkin method for the
incompressible three-phase flow problem in porous media. We use a first order
time extrapolation which allows us to solve the equations implicitly and
sequentially. We show that the discrete problem is well-posed, and obtain a
priori error estimates. Our numerical results validate the theoretical results,
i.e. the algorithm converges with first order.

15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph