The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains

Hakula, Harri; Quach, Tri; Rasila, Antti

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dc.contributor	Aalto-yliopisto	fi
dc.contributor	Aalto University	en
dc.contributor.author	Hakula, Harri
dc.contributor.author	Quach, Tri
dc.contributor.author	Rasila, Antti
dc.date.accessioned	2019-08-15T08:24:16Z
dc.date.available	2019-08-15T08:24:16Z
dc.date.issued	2019
dc.identifier.citation	Hakula , H , Quach , T & Rasila , A 2019 , ' The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains ' , SIAM Journal on Scientific Computing , vol. 41 , no. 3 , pp. A1753-A1776 . https://doi.org/10.1137/17M1124164	en
dc.identifier.issn	1064-8275
dc.identifier.issn	1095-7197
dc.identifier.other	PURE UUID: 768196fc-7589-4384-adcf-2ccd799d4f79
dc.identifier.other	PURE ITEMURL: https://research.aalto.fi/en/publications/768196fc-7589-4384-adcf-2ccd799d4f79
dc.identifier.other	PURE FILEURL: https://research.aalto.fi/files/35896543/17m1124164_1.pdf
dc.identifier.uri	https://aaltodoc.aalto.fi/handle/123456789/39693
dc.description.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.	en
dc.format.extent	24
dc.format.extent	A1753-A1776
dc.format.mimetype	application/pdf
dc.language.iso	en	en
dc.publisher	SIAM PUBLICATIONS
dc.relation.ispartofseries	SIAM Journal on Scientific Computing	en
dc.relation.ispartofseries	Volume 41, issue 3	en
dc.rights	openAccess	en
dc.title	The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains	en
dc.type	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä	fi
dc.description.version	Peer reviewed	en
dc.contributor.department	Department of Mathematics and Systems Analysis
dc.contributor.department	Guangdong Technion - Israel Institute of Technology
dc.subject.keyword	numerical conformal mappings
dc.subject.keyword	conformal modulus
dc.subject.keyword	multiply connected domains
dc.subject.keyword	canonical domains
dc.subject.keyword	COMPUTATION
dc.subject.keyword	MODULI
dc.identifier.urn	URN:NBN:fi:aalto-201908154738
dc.identifier.doi	10.1137/17M1124164
dc.type.version	publishedVersion