The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains

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The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains. / Hakula, Harri; Quach, Tri; Rasila, Antti.

julkaisussa: SIAM Journal on Scientific Computing, Vuosikerta 41, Nro 3, 2019, s. A1753-A1776.

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Hakula, Harri ; Quach, Tri ; Rasila, Antti. / The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains. Julkaisussa: SIAM Journal on Scientific Computing. 2019 ; Vuosikerta 41, Nro 3. Sivut A1753-A1776.

Bibtex - Lataa

@article{768196fc75894384adcf2ccd799d4f79,
title = "The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains",
abstract = "The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method is generalized for multiply connected domains. The key challenge addressed here is the construction of the conjugate domain and the associated conjugate problem. All variants of the method preserve the so-called reciprocal relation of the moduli. An implementation of the algorithm is given along with several examples and illustrations.",
keywords = "numerical conformal mappings, conformal modulus, multiply connected domains, canonical domains, COMPUTATION, MODULI",
author = "Harri Hakula and Tri Quach and Antti Rasila",
year = "2019",
doi = "10.1137/17M1124164",
language = "English",
volume = "41",
pages = "A1753--A1776",
journal = "SIAM Journal on Scientific Computing",
issn = "1064-8275",
number = "3",

}

RIS - Lataa

TY - JOUR

T1 - The Conjugate Function Method and Conformal Mappings in Multiply Connected Domains

AU - Hakula, Harri

AU - Quach, Tri

AU - Rasila, Antti

PY - 2019

Y1 - 2019

N2 - The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method is generalized for multiply connected domains. The key challenge addressed here is the construction of the conjugate domain and the associated conjugate problem. All variants of the method preserve the so-called reciprocal relation of the moduli. An implementation of the algorithm is given along with several examples and illustrations.

AB - The conjugate function method is an algorithm for numerical computation of conformal mappings for simply and doubly connected domains. In this paper the conjugate function method is generalized for multiply connected domains. The key challenge addressed here is the construction of the conjugate domain and the associated conjugate problem. All variants of the method preserve the so-called reciprocal relation of the moduli. An implementation of the algorithm is given along with several examples and illustrations.

KW - numerical conformal mappings

KW - conformal modulus

KW - multiply connected domains

KW - canonical domains

KW - COMPUTATION

KW - MODULI

U2 - 10.1137/17M1124164

DO - 10.1137/17M1124164

M3 - Article

VL - 41

SP - A1753-A1776

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

SN - 1064-8275

IS - 3

ER -

ID: 35800303