Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic polygonal and polyhedral discretizations in finite element
  analysis   New interpolation and quasi-interpolation operators of Cl\'ement- and
Scott-Zhang-type are analyzed on anisotropic polygonal and polyhedral meshes.
Since no reference element is available, an appropriate linear mapping to a
reference configuration plays a crucial role. A priori error estimates are
derived respecting the anisotropy of the discretization. Finally, the found
estimates are employed to propose an adaptive mesh refinement based on
bisection which leads to highly anisotropic and adapted discretizations with
general element shapes in two- and three-dimensions.

1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom