Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An overlapping local projection stabilization for Galerkin
  approximations of Darcy and Stokes problems   A priori analysis for a generalized local projection stabilized conforming
finite element approximation of Darcy flow and Stokes problems is presented in
this paper. A first-order conforming P1 finite element space is used to
approximate both the velocity and the pressure. It is shown that the stabilized
discrete bilinear form satisfy the inf-sup condition with respect to a
generalized local projection norm. Moreover, a priori error estimates are
derived for both problems. Finally, the validation of the proposed
stabilization scheme is demonstrated with appropriate numerical examples.

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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat