Conjugate function method for numerical conformal mappings

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摘要

We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.

论文关键词:primary,30C30,secondary,65E05,31A15,30C85,Numerical conformal mappings,Conformal modulus,Quadrilaterals,Canonical domains

论文评审过程:Received 11 January 2012, Revised 28 May 2012, Available online 11 June 2012.

论文官网地址:https://doi.org/10.1016/j.cam.2012.06.003