Uniformization of an annulus via discretization of harmonic conjugate pair

Sa'ar Hersonsky; Eric Perkerson

doi:10.1016/j.cam.2025.116976

Uniformization of an annulus via discretization of harmonic conjugate pair

Sa'ar Hersonsky, Eric Perkerson

Research output: Contribution to journal › Article › peer-review

Abstract

We implement a novel, effective approximation of the conformal mapping of a polygonal annulus, i.e., a doubly connected domain with two polygonal boundaries, onto a concentric round annulus. We also provide numerical estimates of the modulus and the period.

Original language	English
Article number	116976
Journal	Journal of Computational and Applied Mathematics
Volume	475
DOIs	https://doi.org/10.1016/j.cam.2025.116976
State	Published - 15 Mar 2026
Externally published	Yes

Keywords

Approximation of conformal mapping
Harmonic functions and their conjugate

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2025.116976

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title = "Uniformization of an annulus via discretization of harmonic conjugate pair",

abstract = "We implement a novel, effective approximation of the conformal mapping of a polygonal annulus, i.e., a doubly connected domain with two polygonal boundaries, onto a concentric round annulus. We also provide numerical estimates of the modulus and the period.",

keywords = "Approximation of conformal mapping, Harmonic functions and their conjugate",

author = "Sa'ar Hersonsky and Eric Perkerson",

note = "Publisher Copyright: {\textcopyright} 2025 The Authors",

year = "2026",

month = mar,

day = "15",

doi = "10.1016/j.cam.2025.116976",

language = "English",

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AU - Hersonsky, Sa'ar

AU - Perkerson, Eric

PY - 2026/3/15

Y1 - 2026/3/15

N2 - We implement a novel, effective approximation of the conformal mapping of a polygonal annulus, i.e., a doubly connected domain with two polygonal boundaries, onto a concentric round annulus. We also provide numerical estimates of the modulus and the period.

AB - We implement a novel, effective approximation of the conformal mapping of a polygonal annulus, i.e., a doubly connected domain with two polygonal boundaries, onto a concentric round annulus. We also provide numerical estimates of the modulus and the period.

KW - Approximation of conformal mapping

KW - Harmonic functions and their conjugate

UR - https://www.scopus.com/pages/publications/105015854018

U2 - 10.1016/j.cam.2025.116976

DO - 10.1016/j.cam.2025.116976

M3 - Article

AN - SCOPUS:105015854018

SN - 0377-0427

VL - 475

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 116976

ER -

Uniformization of an annulus via discretization of harmonic conjugate pair

Abstract

Keywords

ASJC Scopus subject areas

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