Numerical Solution of the Beltrami Equation
Complex Variables
2018-03-12 v3 Numerical Analysis
Abstract
An effective algorithm is presented for solving the Beltrami equation fzbar = mu fz in a planar disk. The algorithm involves no evaluation of singular integrals. The strategy, working in concentric rings, is to construct a piecewise linear mu-conformal mapping and then correct the image using a known algorithm for conformal mappings. Numerical examples are provided and the computational complexity is analyzed.
Cite
@article{arxiv.0802.1195,
title = {Numerical Solution of the Beltrami Equation},
author = {R. Michael Porter},
journal= {arXiv preprint arXiv:0802.1195},
year = {2018}
}
Comments
This paper has been withdrawn by the author due to many critical errors, including the fact that the algorithm converges to a wrong result