Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gradient discretisation method to analyse numerical schemes for
  non-linear variational inequalities, application to the seepage problem   Using the gradient discretisation method (GDM), we provide a complete and
unified numerical analysis for non-linear variational inequalities (VIs) based
on Leray--Lions operators and subject to non-homogeneous Dirichlet and
Signorini boundary conditions. This analysis is proved to be easily extended to
the obstacle and Bulkley models, which can be formulated as non-linear VIs. It
also enables us to establish convergence results for many conforming and
nonconforming numerical schemes included in the GDM, and not previously studied
for these models. Our theoretical results are applied to the hybrid mimetic
mixed method (HMM), a family of schemes that fit into the GDM. Numerical
results are provided for HMM on the seepage model, and demonstrate that, even
on distorted meshes, this method provides accurate results.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex