Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symbol Based Convergence Analysis in Block Multigrid Methods with
  applications for Stokes problems   The main focus of this paper is the study of efficient multigrid methods for
large linear system with a particular saddle-point structure. In particular, we
propose a symbol based convergence analysis for problems that have a hidden
block Toeplitz structure. Then, they can be investigated focusing on the
properties of the associated generating function $\mathbf{f}$, which
consequently is a matrix-valued function with dimension depending on the block
of the problem. As numerical tests we focus on the matrix sequence stemming
from the finite element approximation of the Stokes equation. We show the
efficiency of the methods studying the hidden $9\times 9$ block structure of
the obtained matrix sequence proposing an efficient algebraic multigrid method
with convergence rate independent of the matrix size. Moreover, we present
several numerical tests comparing the results with different known strategies.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an