Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on
  Multi-Patch Domains   When applying isogeometric analysis to engineering problems, one often deals
with multi-patch spline spaces that have incompatible discretisations, e.g. in
the case of moving objects. In such cases mortaring has been shown to be
advantageous. This contribution discusses the appropriate B-spline spaces
needed for the solution of Maxwell's equations in the functions space H(curl)
and the corresponding mortar spaces. The main contribution of this paper is to
show that in formulations requiring gauging, as in the vector potential
formulation of magnetostatic equations, one can remove the discrete kernel
subspace from the mortared spaces by the graph-theoretical concept of a
tree-cotree decomposition. The tree-cotree decomposition is done based on the
control mesh, it works for non-contractible domains, and it can be
straightforwardly applied independently of the degree of the B-spline bases.
Finally, the simulation workflow is demonstrated using a realistic model of a
rotating permanent magnet synchronous machine.

16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom