Schwarz-Christoffel methods for conformal mapping of regions with a periodic boundary

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Original languageEnglish
Pages (from-to)77-102
Journal / PublicationJournal of Computational and Applied Mathematics
Issue number1-2
Publication statusPublished - 14 Jun 1993
Externally publishedYes


Numerical conformal mapping methods for regions with a periodic boundary have been developed. These methods are based on the generalized Schwarz-Christoffel equation and can deal with boundary curves of arbitrary forms, i.e., made up of one or more rectifiable Jordan curves. High-order quadrature rules have been implemented in order to increase accuracy of the mapping. This is of particular relevance to highly accurate grid generation techniques required by, for example, implementation of high-order compact finite-difference discretization schemes. © 1993.

Research Area(s)

  • Conformal mapping, numerical grid generation, Schwarz-Christoffel equation

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