Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multipatch Approximation of the de Rham Sequence and its Traces in
  Isogeometric Analysis   We define a conforming B-spline discretisation of the de Rham complex on
multipatch geometries. We introduce and analyse the properties of interpolation
operators onto these spaces which commute w.r.t. the surface differential
operators. Using these results as a basis, we derive new convergence results of
optimal order w.r.t. the respective energy spaces and provide approximation
properties of the spline discretisations of trace spaces for application in the
theory of isogeometric boundary element methods. Our analysis allows for a
straightforward generalisation to finite element methods.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat