A Charge Points-Location Method for Numerical Conformal Mappings of Multiply-Connected Domains Using Pade Approximation(Application)

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  • LU Yi-Bin
    Graduate School of Systems and Information Engineering, University of Tsukuba
  • ITOH Taku
    Department of Computer and Information Science, Faculty of Science and Technology, Seikei University
  • SAKURAI Tetsuya
    Graduate School of Systems and Information Engineering, University of Tsukuba

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Other Title
  • 多重連結領域数値等角写像のPade近似を用いた電荷点配置法(応用)
  • 多重連結領域数値等角写像のPade近似を用いた電荷点配置法
  • タジュウ レンケツ リョウイキ スウチ トウカク シャゾウ ノ Pade キンジ オ モチイタ デンカテン ハイチホウ

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In this paper, we present a charge points-location method for numerical conformal mappings of a bounded doubly-connected domain and an unbounded multiply-connected domain, using Pade approximation. This method is based on the method for numerical conformal mapping of simply-connected domains using Pade approximation. In this method, we reduce calculations of the charge points by Pade approximation to some generalized eigenvalue problems. Using the charge points obtained by solving the generalized eigenvalue problems, we compute the conformal mappings by applying the charge simulation method. Some numerical examples illustrate the efficiency of our method.

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