Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic meshes and stabilized parameters for the stabilized finite
  element methods   We propose a numerical strategy to generate the anisotropic meshes and select
the appropriate stabilized parameters simultaneously for two dimensional
convection-dominated convection-diffusion equations by stabilized continuous
linear finite elements. Since the discretized error in a suitable norm can be
bounded by the sum of interpolation error and its variants in different norms,
we replace them by some terms which contain the Hessian matrix of the true
solution, convective fields, and the geometric properties such as directed
edges and the area of the triangle. Based on this observation, the shape, size
and equidistribution requirements are used to derive the corresponding metric
tensor and the stabilized parameters. It is easily found from our derivation
that the optimal stabilized parameter is coupled with the optimal metric tensor
on each element. Some numerical results are also provided to validate the
stability and efficiency of the proposed numerical strategy.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg