Applications of Potential Theoretic Mother Bodies in Electrostatics - American Journal of Computational Mathematics

AJCM > Vol.7 No.4, December 2017

American Journal of Computational Mathematics

Volume 7, Issue 4 (December 2017)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

Applications of Potential Theoretic Mother Bodies in Electrostatics ()

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DOI: 10.4236/ajcm.2017.74035 706 Downloads 1,276 Views Citations

Author(s)

Nhan T. Tran

Affiliation(s)

Department of Mathematics, Kansas State University, Manhattan, USA.

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.

KEYWORDS

Newtonian Kernel, Potential, Mother Body, Convex Polyhedron, Geometry, Geophysics, Electrostatics

Share and Cite:

Tran, N. (2017) Applications of Potential Theoretic Mother Bodies in Electrostatics. American Journal of Computational Mathematics, 7, 481-494. doi: 10.4236/ajcm.2017.74035.

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