Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High order unfitted finite element methods on level set domains using
  isoparametric mappings   We introduce a new class of unfitted finite element methods with high order
accurate numerical integration over curved surfaces and volumes which are only
implicitly defined by level set functions. An unfitted finite element method
which is suitable for the case of piecewise planar interfaces is combined with
a parametric mapping of the underlying mesh resulting in an isoparametric
unfitted finite element method. The parametric mapping is constructed in a way
such that the quality of the piecewise planar interface reconstruction is
significantly improved allowing for high order accurate computations of
(unfitted) domain and surface integrals. This approach is new. We present the
method, discuss implementational aspects and present numerical examples which
demonstrate the quality and potential of this method.

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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph