Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Static condensation optimal port/interface reduction and error
  estimation for structural health monitoring   Having the application in structural health monitoring in mind, we propose
reduced port spaces that exhibit an exponential convergence for static
condensation procedures on structures with changing geometries for instance
induced by newly detected defects. Those reduced port spaces generalize the
port spaces introduced in [K. Smetana and A.T. Patera, SIAM J. Sci. Comput.,
2016] to geometry changes and are optimal in the sense that they minimize the
approximation error among all port spaces of the same dimension. Moreover, we
show numerically that we can reuse port spaces that are constructed on a
certain geometry also for the static condensation approximation on a
significantly different geometry, making the optimal port spaces well suited
for use in structural health monitoring.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph