Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multilevel Preconditioners for Reaction-Diffusion Problems with
  Discontinuous Coefficients   In this paper, we extend some of the multilevel convergence results obtained
by Xu and Zhu in [Xu and Zhu, M3AS 2008], to the case of second order linear
reaction-diffusion equations. Specifically, we consider the multilevel
preconditioners for solving the linear systems arising from the linear finite
element approximation of the problem, where both diffusion and reaction
coefficients are piecewise-constant functions. We discuss in detail the
influence of both the discontinuous reaction and diffusion coefficients to the
performance of the classical BPX and multigrid V-cycle preconditioners.

14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs