A1 Refereed original research article in a scientific journal

Conformal Invariants in Simply Connected Domains



Authors: Mohamed M. S. Nasser, Matti Vuorinen

Publisher: SPRINGER HEIDELBERG

Publication year: 2020

Journal: Computational Methods and Function Theory

Journal name in source: COMPUTATIONAL METHODS AND FUNCTION THEORY

Journal acronym: COMPUT METH FUNCT TH

Volume: 20

Issue: 3-4

First page : 747

Last page: 775

Number of pages: 29

ISSN: 1617-9447

eISSN: 2195-3724

DOI: https://doi.org/10.1007/s40315-020-00351-8

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/50965465


Abstract
This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus of a quadrilateral. The used method is based on the boundary integral equation with the generalized Neumann kernel. Several numerical examples are presented. The performance and accuracy of the presented method is validated by considering several model problems with known analytic solutions.

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Last updated on 2024-26-11 at 22:42