Conformal modulus and planar domains with strong singularities and cusps

Hakula, Harri; Rasila, Antti; Vuorinen, Matti

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dc.contributor	Aalto-yliopisto	fi
dc.contributor	Aalto University	en
dc.contributor.author	Hakula, Harri
dc.contributor.author	Rasila, Antti
dc.contributor.author	Vuorinen, Matti
dc.date.accessioned	2019-07-30T07:17:09Z
dc.date.available	2019-07-30T07:17:09Z
dc.date.issued	2018-01-01
dc.identifier.citation	Hakula , H , Rasila , A & Vuorinen , M 2018 , ' Conformal modulus and planar domains with strong singularities and cusps ' , Electronic Transactions on Numerical Analysis , vol. 48 , pp. 462-478 . https://doi.org/10.1553/etna_vol48s462	en
dc.identifier.issn	1068-9613
dc.identifier.issn	1097-4067
dc.identifier.other	PURE UUID: 6ee0f14e-6d4e-4dfd-8776-a0fc31861145
dc.identifier.other	PURE ITEMURL: https://research.aalto.fi/en/publications/6ee0f14e-6d4e-4dfd-8776-a0fc31861145
dc.identifier.other	PURE LINK: http://www.scopus.com/inward/record.url?scp=85065389177&partnerID=8YFLogxK
dc.identifier.other	PURE FILEURL: https://research.aalto.fi/files/35579862/pp462_478_1.pdf
dc.identifier.uri	https://aaltodoc.aalto.fi/handle/123456789/39442
dc.description.abstract	We study the problem of computing the conformal modulus of rings and quadrilaterals with strong singularities and cusps at their boundary. We reduce this problem to the numerical solution of the associated Dirichlet and Dirichlet-Neumann-type boundary values problems for the Laplace equation. Several experimental results, with error estimates, are reported. In particular, we consider domains with dendrite-like boundaries where an analytic formula for the conformal modulus can be derived. The boundary value problems are solved using an hp-finite element method.	en
dc.format.extent	17
dc.format.extent	462-478
dc.format.mimetype	application/pdf
dc.language.iso	en	en
dc.publisher	Kent State University
dc.relation.ispartofseries	Electronic Transactions on Numerical Analysis	en
dc.relation.ispartofseries	Volume 48	en
dc.rights	openAccess	en
dc.title	Conformal modulus and planar domains with strong singularities and cusps	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.contributor.department	University of Turku
dc.subject.keyword	Conformal capacity
dc.subject.keyword	Conformal modulus
dc.subject.keyword	Hp-FEM
dc.subject.keyword	Numerical conformal mapping
dc.subject.keyword	Quadrilateral modulus
dc.identifier.urn	URN:NBN:fi:aalto-201907304497
dc.identifier.doi	10.1553/etna_vol48s462
dc.type.version	publishedVersion