Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter-robust discretization and preconditioning of Biot's
  consolidation model   Biot's consolidation model in poroelasticity has a number of applications in
science, medicine, and engineering. The model depends on various parameters,
and in practical applications these parameters ranges over several orders of
magnitude. A current challenge is to design discretization techniques and
solution algorithms that are well behaved with respect to these variations. The
purpose of this paper is to study finite element discretizations of this model
and construct block diagonal preconditioners for the discrete Biot systems. The
approach taken here is to consider the stability of the problem in non-standard
or weighted Hilbert spaces and employ the operator preconditioning approach. We
derive preconditioners that are robust with respect to both the variations of
the parameters and the mesh refinement. The parameters of interest are small
time-step sizes, large bulk and shear moduli, and small hydraulic conductivity.

35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph