Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Gradient Flow Discretizations for Simulating Bilayer Plate
  Bending with Isometry and Obstacle Constraints   Bilayer plates are compound materials that exhibit large bending deformations
when exposed to environmental changes that lead to different mechanical
responses in the involved materials. In this article a new numerical method
which is suitable for simulating the isometric deformation induced by a given
material mismatch in a bilayer plate is discussed. A dimensionally reduced
formulation of the bending energy is discretized generically in an abstract
setting and specified for discrete Kirchhoff triangles; convergence towards the
continuous formulation is proved. A practical semi-implicit discrete gradient
flow employing a linearization of the isometry constraint is proposed as an
iterative method for the minimization of the bending energy; stability and a
bound on the violation of the isometry constraint are proved. The incorporation
of obstacles is discussed and the practical performance of the method is
illustrated with numerical experiments involving the simulation of large
bending deformations and investigation of contact phenomena.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph