Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled variational formulations of linear elasticity and the DPG
  methodology   This article presents a general approach akin to domain-decomposition methods
to solve a single linear PDE, but where each subdomain of a partitioned domain
is associated to a distinct variational formulation coming from a mutually
well-posed family of broken variational formulations of the original PDE. It
can be exploited to solve challenging problems in a variety of physical
scenarios where stability or a particular mode of convergence is desired in a
part of the domain. The linear elasticity equations are solved in this work,
but the approach can be applied to other equations as well. The broken
variational formulations, which are essentially extensions of more standard
formulations, are characterized by the presence of mesh-dependent broken test
spaces and interface trial variables at the boundaries of the elements of the
mesh. This allows necessary information to be naturally transmitted between
adjacent subdomains, resulting in coupled variational formulations which are
then proved to be globally well-posed. They are solved numerically using the
DPG methodology, which is especially crafted to produce stable discretizations
of broken formulations. Finally, expected convergence rates are verified in two
different and illustrative examples.

7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga