Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal order of uniform convergence for finite element method on
  Bakhvalov-type meshes   We propose a new analysis of convergence for a $k$th order ($k\ge 1$) finite
element method, which is applied on Bakhvalov-type meshes to a singularly
perturbed two-point boundary value problem. A novel interpolant is introduced,
which has a simple structure and is easy to generalize. By means of this
interpolant, we prove an optimal order of uniform convergence with respect to
the perturbation parameter.
  Numerical experiments illustrate these theoretical results.

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The categories of this paper are: eess
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The categories of this paper are: math-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom