Applications of potential theoretic mother bodies in Electrostatics

2017/10/19 by Tran, Nhan
#28E05 #51P05 #52A10 #52C25 #86-08 #Computational Geometry (cs.CG) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.1710.06991

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 and developed by Björn Gustafson and Makoto Sakai. In this paper, we attempt to apply the brilliant idea of mother body to Electrostatics to compute the potentials of electric fields.

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