TITLE:
Applications of Potential Theoretic Mother Bodies in Electrostatics
AUTHORS:
Nhan T. Tran
KEYWORDS:
Newtonian Kernel, Potential, Mother Body, Convex Polyhedron, Geometry, Geophysics, Electrostatics
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.4,
December
19,
2017
ABSTRACT: Any polyhedron accommodates a type of potential
theoretic skeleton called a mother body. The study of such mother bodies was
originally from Mathematical Physics, initiated by Zidarov [1] and
developed by Björn Gustafson and Makoto Sakai [2]. In
this paper, we attempt to apply the brilliant idea of mother body to
Electrostatics to compute the potentials of electric fields.