Numerical Solution of the Beltrami Equation
نویسنده
چکیده
Abstract. An effective algorithm is presented for solving the Beltrami equation ∂f = μ ∂f in a planar disk. The algorithm involves no evaluation of singular integrals. The strategy, working in concentric rings, is to construct a piecewise linear μ-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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