Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A minimal stabilization procedure for Isogeometric methods on trimmed
  geometries   Trimming is a common operation in CAD, and, in its simplest formulation,
consists in removing superfluous parts from a geometric entity described via
splines (a spline patch). After trimming the geometric description of the patch
remains unchanged, but the underlying mesh is unfitted with the physical
object. We discuss the main problems arising when solving elliptic PDEs on a
trimmed domain. First we prove that, even when Dirichlet boundary conditions
are weakly enforced using Nitsche's method, the resulting method suffers lack
of stability. Then, we develop novel stabilization techniques based on a
modification of the variational formulation, which allow us to recover
well-posedness and guarantee accuracy. Optimal a priori error estimates are
proven, and numerical examples confirming the theoretical results are provided.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin