Numerical Solution of the Beltrami Equation
arXiv:0802.1195
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.
This paper has been withdrawn by the author due to many critical errors, including the fact that the algorithm converges to a wrong result