Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An immersed Raviart-Thomas mixed finite element method for elliptic
  interface problems on unfitted meshes   This paper presents a lowest-order immersed Raviart-Thomas mixed triangular
finite element method for solving elliptic interface problems on unfitted
meshes independent of the interface. In order to achieve the optimal
convergence rates on unfitted meshes, an immersed finite element finite (IFE)
is constructed by modifying the traditional Raviart-Thomas element. Some
important properties are derived including the unisolvence of IFE basis
functions, the optimal approximation capabilities of the IFE space and the
corresponding commuting digram. Optimal error estimates are rigorously proved
for the mixed IFE method and some numerical examples are also provided to
validate the theoretical analysis.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat