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AuthorNasser, Mohamed
AuthorRainio, Oona
AuthorRasila, Antti
AuthorVuorinen, Matti
AuthorWallace, Terry
AuthorYu, Hang
AuthorZhang, Xiaohui
Available date2024-03-12T09:55:09Z
Publication Date2022-09-13
Publication NameAdvances in Computational Mathematics
Identifierhttp://dx.doi.org/10.1007/s10444-022-09975-x
CitationNasser, M., Rainio, O., Rasila, A., Vuorinen, M., Wallace, T., Yu, H., & Zhang, X. (2022). Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals. Advances in Computational Mathematics, 48(5), 58.
ISSN1019-7168
URIhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85138472932&origin=inward
URIhttp://hdl.handle.net/10576/52956
AbstractWe study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs, also called polycircular domains, and compute the moduli of quadrilaterals for these domains. Experimental error estimates are provided and, when possible, comparison to exact values or other methods are given. We also analyze the rate of convergence as a function of the number of degrees of freedom. The main ingredients of the computation are boundary integral equations combined with the fast multipole method.
SponsorOpen Access funding provided by University of Turku (UTU) including Turku University Central Hospital. This work was also funded by: - the University of Turku Graduate School UTUGS. A. - National Natural Science Foundation of China (No. 11971124). - Natural Science Foundation of Guangdong Province (No. 2021A1515010326). - the Natural Science Foundation of Zhejiang Province (LY22A010004).
Languageen
PublisherSpringer Nature
SubjectBoundary integral equations
Condenser capacity
Numerical conformal mappings
TitlePolycircular domains, numerical conformal mappings, and moduli of quadrilaterals
TypeArticle
Issue Number5
Volume Number48
ESSN1572-9044
dc.accessType Open Access


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