@Article{CiCP-19-970,
author = {Brian Zinser and Wei Cai},
title = {A Well-Conditioned Hypersingular Boundary Element Method for Electrostatic Potentials in the Presence of Inhomogeneities within Layered Media},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {4},
pages = {970--997},
abstract = {<p style="text-align: justify;">In this paper, we will present a high-order, well-conditioned boundary element
method (BEM) based on Müller&#39;s hypersingular second kind integral equation
formulation to accurately compute electrostatic potentials in the presence of inhomogeneity
embedded within layered media. We consider two types of inhomogeneities:
the first one is a simple model of an ion channel which consists of a finite height cylindrical
cavity embedded in a layered electrolytes/membrane environment, and the second
one is a Janus particle made of two different semi-spherical dielectric materials.
Both types of inhomogeneities have relevant applications in biology and colloidal material,
respectively. The proposed BEM gives&nbsp;$\mathcal{O}$(1) condition numbers, allowing fast
convergence of iterative solvers compared to previous work using first kind of integral
equations. We also show that the second order basis converges faster and is more
accurate than the first order basis for the BEM.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.090415.170815a},
url = {http://global-sci.org/intro/article_detail/cicp/11116.html}
}