Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A high order HDG method for curved-interface problems via approximations
  from straight triangulations   We generalize the technique of [Solving Dirichlet boundary-value problems on
curved domains by extensions from subdomains, SIAM J. Sci. Comput. 34, pp.
A497--A519 (2012)] to elliptic problems with mixed boundary conditions and
elliptic interface problems involving a non-polygonal interface. We study first
the treatment of the Neumann boundary data since it is crucial to understand
the applicability of the technique to curved interfaces. We provide numerical
results showing that, in order to obtain optimal high order convergence, it is
desirable to construct the computational domain by interpolating the
boundary/interface using piecewise linear segments. In this case the distance
of the computational domain to the exact boundary is only $O(h^2)$.

3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg