Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust error estimation for lowest-order approximation of nearly
  incompressible elasticity   We consider so-called Herrmann and Hydrostatic mixed formulations of
classical linear elasticity and analyse the error associated with locally
stabilised $P_1-P_0$ finite element approximation. First, we prove a stability
estimate for the discrete problem and establish an a priori estimate for the
associated energy error. Second, we consider a residual-based a posteriori
error estimator as well as a local Poisson problem estimator. We establish
bounds for the energy error that are independent of the Lam\'{e} coefficients
and prove that the estimators are robust in the incompressible limit. A key
issue to be addressed is the requirement for pressure stabilisation. Numerical
results are presented that validate the theory. The software used is available
online.

10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat