Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A reduced order model for a stable embedded boundary parametrized
  Cahn-Hilliard phase-field system based on cut finite elements   In the present work, we investigate a cut finite element method for the
parameterized system of second-order equations stemming from the splitting
approach of a fourth order nonlinear geometrical PDE, namely the Cahn-Hilliard
system. We manage to tackle the instability issues of such methods whenever
strong nonlinearities appear and to utilize their flexibility of the fixed
background geometry -- and mesh -- characteristic, through which, one can avoid
e.g. in parametrized geometries the remeshing on the full order level, as well
as, transformations to reference geometries on the reduced level. As a final
goal, we manage to find an efficient global, concerning the geometrical
manifold, and independent of geometrical changes, reduced order basis. The
POD-Galerkin approach exhibits its strength even with pseudo-random
discontinuous initial data verified by numerical experiments.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th