Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Element Integration with Quadrature on the GPU   We present a novel, quadrature-based finite element integration method for
low-order elements on GPUs, using a pattern we call \textit{thread
transposition} to avoid reductions while vectorizing aggressively. On the
NVIDIA GTX580, which has a nominal single precision peak flop rate of 1.5 TF/s
and a memory bandwidth of 192 GB/s, we achieve close to 300 GF/s for element
integration on first-order discretization of the Laplacian operator with
variable coefficients in two dimensions, and over 400 GF/s in three dimensions.
From our performance model we find that this corresponds to 90\% of our
measured achievable bandwidth peak of 310 GF/s. Further experimental results
also match the predicted performance when used with double precision (120 GF/s
in two dimensions, 150 GF/s in three dimensions). Results obtained for the
linear elasticity equations (220 GF/s and 70 GF/s in two dimensions, 180 GF/s
and 60 GF/s in three dimensions) also demonstrate the applicability of our
method to vector-valued partial differential equations.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int