Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A projection-based model reduction method for nonlinear mechanics with
  internal variables: application to thermo-hydro-mechanical systems   We propose a projection-based monolithic model order reduction (MOR)
procedure for a class of problems in nonlinear mechanics with internal
variables. The work is is motivated by applications to thermo-hydro-mechanical
(THM) systems for radioactive waste disposal. THM equations model the behaviour
of temperature, pore water pressure and solid displacement in the neighborhood
of geological repositories, which contain radioactive waste and are responsible
for a significant thermal flux towards the Earth's surface. We develop an
adaptive sampling strategy based on the POD-Greedy method, and we develop an
element-wise empirical quadrature hyper-reduction procedure to reduce
assembling costs. We present numerical results for a two-dimensional THM system
to illustrate and validate the proposed methodology.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn