Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimal angle condition for quadrilateral finite elements of
  arbitrary degree   We study $W^{1,p}$ Lagrange interpolation error estimates for general
quadrilateral $\mathcal{Q}_{k}$ finite elements with $k\ge 2$. For the most
standard case of $p=2$ it turns out that the constant $C$ involved in the error
estimate can be bounded in terms of the minimal interior angle of the
quadrilateral. Moreover, the same holds for any $p$ in the range $1\le p<3$. On
the other hand, for $3\le p$ we show that $C$ also depends on the maximal
interior angle. We provide some counterexamples showing that our results are
sharp.

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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess