Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimization with nonstationary, nonlinear monolithic fluid-structure
  interaction   Within this work, we consider optimization settings for nonlinear,
nonstationary fluid-structure interaction. The problem is formulated in a
monolithic fashion using the arbitrary Lagrangian-Eulerian framework to set-up
the fluid-structure forward problem. In the optimization approach, either
optimal control or parameter estimation problems are treated. In the latter,
the stiffness of the solid is estimated from given reference values. In the
numerical solution, the optimization problem is solved with a gradient-based
solution algorithm. The nonlinear subproblems of the FSI forward problem are
solved with a Newton method including line search. Specifically, we will
formally provide the backward-in-time running adjoint state used for gradient
computations. Our algorithmic developments are demonstrated with some numerical
examples as for instance extensions of the well-known fluid-structure benchmark
settings and a flapping membrane test in a channel flow with elastic walls.

13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom