Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compression of volume-surface integral equation matrices via Tucker
  decomposition for magnetic resonance applications   In this work, we propose a method for the compression of the coupling matrix
in volume\hyp surface integral equation (VSIE) formulations. VSIE methods are
used for electromagnetic analysis in magnetic resonance imaging (MRI)
applications, for which the coupling matrix models the interactions between the
coil and the body. We showed that these effects can be represented as
independent interactions between remote elements in 3D tensor formats, and
subsequently decomposed with the Tucker model. Our method can work in tandem
with the adaptive cross approximation technique to provide fast solutions of
VSIE problems. We demonstrated that our compression approaches can enable the
use of VSIE matrices of prohibitive memory requirements, by allowing the
effective use of modern graphical processing units (GPUs) to accelerate the
arising matrix\hyp vector products. This is critical to enable numerical MRI
simulations at clinical voxel resolutions in a feasible computation time. In
this paper, we demonstrate that the VSIE matrix\hyp vector products needed to
calculate the electromagnetic field produced by an MRI coil inside a numerical
body model with $1$ mm$^3$ voxel resolution, could be performed in $\sim 33$
seconds in a GPU, after compressing the associated coupling matrix from $\sim
80$ TB to $\sim 43$ MB.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org