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Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals




TekijätNasser Mohamed, Rainio Oona, Rasila Antti, Vuorinen Matti, Wallace Terry, Yu Hang, Zhang Xiaohui

KustantajaSPRINGER

Julkaisuvuosi2022

JournalAdvances in Computational Mathematics

Tietokannassa oleva lehden nimiADVANCES IN COMPUTATIONAL MATHEMATICS

Lehden akronyymiADV COMPUT MATH

Artikkelin numero 58

Vuosikerta48

Numero5

Sivujen määrä34

ISSN1019-7168

eISSN1572-9044

DOIhttps://doi.org/10.1007/s10444-022-09975-x

Verkko-osoitehttps://link.springer.com/article/10.1007/s10444-022-09975-x

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/176352751


Tiivistelmä
We 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.

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Last updated on 2024-26-11 at 15:31