Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral equations and boundary-element solution for static potential in
  a general piece-wise homogeneous volume conductor   Boundary element methods (BEM) are used for forward computation of
bioelectromagnetic fields in multi-compartment volume conductor models. Most
BEM approaches assume that each compartment is in contact with at most one
external compartment. In this work, I present a general surface integral
equation and BEM discretization that remove this limitation and allow BEM
modeling of general piecewise-homogeneous medium. The new integral equation
allows positioning of field points at junctioned boundary of more than two
compartments, enabling the use of linear collocation BEM in such a complex
geometry. A modular BEM implementation is presented for linear collocation and
Galerkin approaches, starting from standard formulation. The approach and
resulting solver are verified in four ways, including comparisons of volume and
surface potentials to those obtained using the finite element method (FEM), and
the effect of a hole in skull on electroencephalographic scalp potentials is
demonstrated.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph