Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cut finite element method for the Darcy problem   We present and analyze a cut finite element method for the weak imposition of
the Neumann boundary conditions of the Darcy problem. The Raviart-Thomas mixed
element on both triangular and quadrilateral meshes is considered. Our method
is based on the Nitsche formulation studied in [10.1515/jnma-2021-0042] and can
be considered as a first attempt at extension in the unfitted case. The key
feature is to add two ghost penalty operators to stabilize both the velocity
and pressure fields. We rigorously prove our stabilized formulation to be
well-posed and derive a priori error estimates for the velocity and pressure
fields. We show that an upper bound for the condition number of the stiffness
matrix holds as well. Numerical examples corroborating the theory are included.

25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg