Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accurate Discretization Of Poroelasticity Without Darcy Stability --
  Stokes-Biot Stability Revisited   In this manuscript we focus on the question: what is the correct notion of
Stokes-Biot stability? Stokes-Biot stable discretizations have been introduced,
independently by several authors, as a means of discretizing Biot's equations
of poroelasticity; such schemes retain their stability and convergence
properties, with respect to appropriately defined norms, in the context of a
vanishing storage coefficient and a vanishing hydraulic conductivity. The basic
premise of a Stokes-Biot stable discretization is: one part Stokes stability
and one part mixed Darcy stability. In this manuscript we remark on the
observation that the latter condition can be generalized to a wider class of
discrete spaces. In particular: a parameter-uniform inf-sup condition for a
mixed Darcy sub-problem is not strictly necessary to retain the practical
advantages currently enjoyed by the class of Stokes-Biot stable Euler-Galerkin
discretization schemes.

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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th