Construction of complex potentials for multiply connected domains
Mathematical Physics
2019-04-16 v1 Complex Variables
math.MP
Numerical Analysis
Abstract
The method of reduction of a Fredholm integral equation to the linear system is generalized to construction of a complex potential --- an analytic function in an infinite multiply connected domain with a simple pole at infinity which maps the domain onto a plane with horizontal slits. We consider a locally sourceless, locally irrotational flow on an arbitrary given -connected infinite domain with impermeable boundary. The complex potential has the form of a Cauchy integral with one linear and logarithmic summands. The method is easily computable.
Cite
@article{arxiv.1904.07167,
title = {Construction of complex potentials for multiply connected domains},
author = {Pyotr N. Ivanshin},
journal= {arXiv preprint arXiv:1904.07167},
year = {2019}
}