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Numerische Mathematik

, Volume 41, Issue 3, pp 287–307 | Cite as

An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains

  • D. M. Hough
  • N. Papamichael
Article

Summary

A numerical method, based on the integral equation formulation of Symm, is described for computing approximations to the mapping functions which accomplish the following conformal maps: (a) the mapping of a domain interior to a closed Jordan curve onto the interior of the unit disc, (b) the mapping of a domain exterior to a closed Jordan curve onto the exterior of the unit disc, (c) the mapping of a doubly-connected domain bounded by two closed Jordan curves onto a circular annulus. The numerical method is based on approximating the unknown source density by cubic splines and “singular” functions, and is particularly suited for the mapping of difficult domains having sharp corners.

Subject classifications

AMS (MOS): 30C30 65R20:CR: 5.18 

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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • D. M. Hough
    • 1
  • N. Papamichael
    • 2
  1. 1.Division of MathematicsPolytechnic of the South BankLondonEngland
  2. 2.Department of MathematicsBrunel UniversityUxbridgeEngland

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