An efficient procedure for solving potential field problems: the Conformal Boundary Differences Method
Abstract
A novel method rooted in the classical Schwarz-Christoffel transformation from the disk is introduced, which allows for fast and accurate solution of potential field problems in possibly inhomogeneous and multiply connected domains: this is for sure its most outstanding feature, circumventing the barriers that have increasingly restricted the scope of conformal mappings in applications since the advent of computers and purely numerical methods. An example problem, derived from a case of practical interest, is analyzed and results are compared with those obtained from FEA.
Cite
@article{arxiv.1810.00451,
title = {An efficient procedure for solving potential field problems: the Conformal Boundary Differences Method},
author = {Stefano Costa},
journal= {arXiv preprint arXiv:1810.00451},
year = {2018}
}
Comments
10 pages, 8 figures, PdfLaTex. Updated version for: minor changes in math notation and text revision; page layout now twocolumns; some figures revised for improved clarity. Arguments and results unaffected