Numerical conformal mapping with rational functions
Complex Variables
2019-11-12 v1 Numerical Analysis
Numerical Analysis
Abstract
New algorithms are presented for numerical conformal mapping based on rational approximations and the solution of Dirichlet problems by least-squares fitting on the boundary. The methods are targeted at regions with corners, where the Dirichlet problem is solved by the "lightning Laplace solver" with poles exponentially clustered near each singularity. For polygons and circular polygons, further simplifications are possible.
Cite
@article{arxiv.1911.03696,
title = {Numerical conformal mapping with rational functions},
author = {Lloyd N. Trefethen},
journal= {arXiv preprint arXiv:1911.03696},
year = {2019}
}