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Numerical Solution of the Beltrami Equation
Porter, R. Michael...
Numerical Solution of the Beltrami Equation by Porter, R. Michael ( Author )
Australian National University
01-08-2023
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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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/0802.1195
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