Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multilevel Monte Carlo Simulations of Composite Structures with
  Uncertain Manufacturing Defects   By adopting a Multilevel Monte Carlo (MLMC) framework, we show that only a
handful of costly fine scale computations are needed to accurately estimate
statistics of the failure of a composite structure, as opposed to the thousands
typically needed in classical Monte Carlo analyses. We introduce the MLMC
method, compare its theoretical complexity with classical Monte Carlo, and give
a simple-to-implement algorithm which includes a simple extension called MLMC
with selective refinement to efficiently calculated structural failure
probabilities. To demonstrate the huge computational gains we present two
benchmark problems in composites: (1) the effects of fibre waviness on the
compressive strength of a composite material, (2) uncertain buckling
performance of a composite panel with uncertain ply orientations. For our most
challenging test case, estimating a rare ($\sim 1/150$) probability of buckling
failure of a composite panel, we see a speed-up factor $> 1000$. Our approach
distributed over $1024$ processors reduces the computation time from $218$ days
to just $4.5$ hours. This level of speed up makes stochastic simulations that
would otherwise be unthinkable now possible.?

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio