Numerical Solution of the Beltrami Equation

Details Numerical Solution of the Beltrami Equation Numerical Solution of the Beltrami Equation

2008-02-08

arxiv.org/abs/0802.1195v1

Mathematics

Complex Variables

24 pages, 9 figures, LaTex

Scientific paper

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.

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