The conjugate function method and conformal mappings in multiply connected domains

Harri Hakula, Tri Quach, Antti Rasila

Research output: Contribution to journalArticlepeer-review

Abstract

The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method is generalized for multiply connected domains. The key challenge addressed here is the construction of the conjugate domain and the associated conjugate problem. All variants of the method preserve the so-called reciprocal relation of the moduli. An implementation of the algorithm is given along with several examples and illustrations.

Original languageEnglish
Pages (from-to)A1753-A1776
JournalSIAM Journal of Scientific Computing
Volume41
Issue number3
DOIs
StatePublished - 2019

Keywords

  • Canonical domains
  • Conformal modulus
  • Multiply connected domains
  • Numerical conformal mappings

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