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

J. M. Floryan; Charles Zemach

doi:10.1016/0377-0427(93)90288-M

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

J. M. Floryan, Charles Zemach

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

26 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	77-102
Journal	Journal of Computational and Applied Mathematics
Volume	46
Issue number	1-2
DOIs	https://doi.org/10.1016/0377-0427(93)90288-M
Publication status	Published - 14 Jun 1993
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

Conformal mapping
numerical grid generation
Schwarz-Christoffel equation

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abstract = "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. {\textcopyright} 1993.",

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AU - Floryan, J. M.

AU - Zemach, Charles

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1993/6/14

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N2 - 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.

AB - 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.

KW - Conformal mapping

KW - numerical grid generation

KW - Schwarz-Christoffel equation

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DO - 10.1016/0377-0427(93)90288-M

M3 - RGC 21 - Publication in refereed journal

SN - 0377-0427

VL - 46

SP - 77

EP - 102

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

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

Abstract

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Research Keywords

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