Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Preconditioners for Finite Element Approximations of
  Convection-Diffusion Equations on structured meshes   The paper is devoted to the spectral analysis of effective preconditioners
for linear systems obtained via a Finite Element approximation to
diffusion-dominated convection-diffusion equations. We consider a model setting
in which the structured finite element partition is made by equi-lateral
triangles. Under such assumptions, if the problem is coercive, and the
diffusive and convective coefficients are regular enough, then the proposed
preconditioned matrix sequences exhibit a strong clustering at unity, the
preconditioning matrix sequence and the original matrix sequence are spectrally
equivalent, and the eigenvector matrices have a mild conditioning. The obtained
results allow to show the optimality of the related preconditioned Krylov
methods. %It is important to stress that The interest of such a study relies on
the observation that automatic grid generators tend to construct equi-lateral
triangles when the mesh is fine enough. Numerical tests, both on the model
setting and in the non-structured case, show the effectiveness of the proposal
and the correctness of the theoretical findings.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess