Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis and preconditioning of parameter-robust finite element methods
  for Biot's consolidation model   In this paper we consider a three-field formulation of the Biot model which
has the displacement, the total pressure, and the pore pressure as unknowns.
For parameter-robust stability analysis, we first show a priori estimates of
the continuous problem with parameter-dependent norms. Then we study finite
element discretizations which provide parameter-robust error estimates and
preconditioners. For finite element discretizations we consider standard mixed
finite element as well as stabilized methods for the Stokes equations, and the
complete error analysis of semidiscrete solutions is given. Abstract forms of
parameter-robust preconditioners are investigated by the operator
preconditioning approach. The theoretical results are illustrated with
numerical experiments.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas