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Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions

This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before o...

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Main Authors:	A. A. M., Yunus, A. H. M., Murid, M. M. S., Nasser
Format:	Article
Language:	English
Published:	Royal Soc 2015
Subjects:	Adjoint Generalized Neumann Kernel Numerical Conformal Mapping Unbounded Multiply Connected Regions
Online Access:	http://ddms.usim.edu.my/handle/123456789/8322
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id	my.usim-8322
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spelling	my.usim-83222017-03-16T03:01:19Z Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions A. A. M., Yunus A. H. M., Murid M. M. S., Nasser Adjoint Generalized Neumann Kernel Numerical Conformal Mapping Unbounded Multiply Connected Regions This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used for computing the mapping function and its inverse for interior points. This method also works for regions with piecewise smooth boundaries. Three examples are given to illustrate the effectiveness of the proposed method. 2015-06-11T02:24:45Z 2015-06-11T02:24:45Z 2014-01-01 Article 1364-5021 1471-2946 http://ddms.usim.edu.my/handle/123456789/8322 en Royal Soc
institution	Universiti Sains Islam Malaysia
building	USIM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universit Sains Islam i Malaysia
content_source	USIM Institutional Repository
url_provider	http://ddms.usim.edu.my/
language	English
topic	Adjoint Generalized Neumann Kernel Numerical Conformal Mapping Unbounded Multiply Connected Regions
spellingShingle	Adjoint Generalized Neumann Kernel Numerical Conformal Mapping Unbounded Multiply Connected Regions A. A. M., Yunus A. H. M., Murid M. M. S., Nasser Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
description	This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used for computing the mapping function and its inverse for interior points. This method also works for regions with piecewise smooth boundaries. Three examples are given to illustrate the effectiveness of the proposed method.
format	Article
author	A. A. M., Yunus A. H. M., Murid M. M. S., Nasser
author_facet	A. A. M., Yunus A. H. M., Murid M. M. S., Nasser
author_sort	A. A. M., Yunus
title	Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
title_short	Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
title_full	Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
title_fullStr	Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
title_full_unstemmed	Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
title_sort	numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
publisher	Royal Soc
publishDate	2015
url	http://ddms.usim.edu.my/handle/123456789/8322
_version_	1645152392436514816
score	13.222552

Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions

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