Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate analysis-suitable T-splines of arbitrary degree   This paper defines analysis-suitable T-splines for arbitrary degree
(including even and mixed degrees) and arbitrary dimension. We generalize the
concept of anchor elements known from the two-dimensional setting, extend two
existing concepts of analysis-suitability and justify their sufficiency for
linear independence of the T-spline basis. Finally, we propose a local
refinement scheme for multivariate T-splines that allows anisotropic refinement
and preserves weak geometric analysis-suitability.

4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga