TY - JOUR
T1 - A Robust Numerical Method for Generalized Coulomb and Self-Polarization Potentials of Dielectric Spheroids
AU - Changfeng Xue & Shaozhong Deng
JO - Communications in Computational Physics
VL - 2
SP - 374
EP - 402
PY - 2010
DA - 2010/08
SN - 8
DO - http://doi.org/10.4208/cicp.041009.301109a
UR - https://global-sci.org/intro/article_detail/cicp/7577.html
KW - 
AB - <p style="text-align: justify;">By utilizing a novel quasi-harmonic three-layer dielectric model for the
interface between a dielectric spheroid and the surrounding dissimilar dielectric
medium, a robust numerical method for calculating the generalized Coulomb and
self-polarization potentials of the dielectric spheroid is presented in this paper. The
proposed numerical method can not only overcome the inherent mathematical divergence
in the self-polarization energy which arises for the simplest step-like model of
the dielectric interface, but also completely eliminate the potential numerical divergence
which may occur in other treatments. Numerical experiments have demonstrated
the convergence of the proposed numerical method as the number of the steps
used to discretize the translation layer in a general three-layer dielectric model goes to
infinity.</p>