Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An a posteriori error analysis for a coupled continuum pipe-flow/Darcy
  model in Karst aquifers: anisotropic and isotropic discretizations   This paper presents an a posteriori error analysis for a coupled continuum
pipe-flow/Darcy model in karst aquifers. We consider a unified anisotropic
finite element discretization (i.e. elements with very large aspect ratio). Our
analysis covers two-dimensional domains, conforming and nonconforming
discretizations as well as different elements. Many examples of finite elements
that are covered by analysis are presented. From the finite element solution,
the error estimators are constructed and based on the residual of model
equations. Lower and upper error bounds form the main result with minimal
assumptions on the elements. The lower error bound is uniform with respect to
the mesh anisotropy in the entire domain. The upper error bound depends on a
proper alignment of the anisotropy of the mesh which is a common feature of
anisotropic error estimation. In the special case of isotropic meshes, the
results simplify, and upper and lower error bounds hold unconditionally.

14
The categories of this paper are: math-ph
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The categories of this paper are: eess
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg