Conjugate function method for numerical conformal mappings

Harri Hakula; Tri Quach; Antti Rasila

doi:10.1016/j.cam.2012.06.003

Conjugate function method for numerical conformal mappings

Harri Hakula, Tri Quach^*, Antti Rasila

^*Corresponding author for this work

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

17 Scopus citations

Abstract

We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.

Original language	English
Pages (from-to)	340-353
Number of pages	14
Journal	Journal of Computational and Applied Mathematics
Volume	237
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2012.06.003
State	Published - 1 Jan 2013
Externally published	Yes

Keywords

Canonical domains
Conformal modulus
Numerical conformal mappings
Quadrilaterals

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10.1016/j.cam.2012.06.003

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title = "Conjugate function method for numerical conformal mappings",

abstract = "We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.",

keywords = "Canonical domains, Conformal modulus, Numerical conformal mappings, Quadrilaterals",

author = "Harri Hakula and Tri Quach and Antti Rasila",

year = "2013",

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doi = "10.1016/j.cam.2012.06.003",

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T1 - Conjugate function method for numerical conformal mappings

AU - Hakula, Harri

AU - Quach, Tri

AU - Rasila, Antti

PY - 2013/1/1

Y1 - 2013/1/1

N2 - We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.

AB - We present a method for numerical computation of conformal mappings from simply or doubly connected domains onto so-called canonical domains, which in our case are rectangles or annuli. The method is based on conjugate harmonic functions and properties of quadrilaterals. Several numerical examples are given.

KW - Canonical domains

KW - Conformal modulus

KW - Numerical conformal mappings

KW - Quadrilaterals

UR - http://www.scopus.com/inward/record.url?scp=84866092225&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2012.06.003

DO - 10.1016/j.cam.2012.06.003

M3 - 文章

AN - SCOPUS:84866092225

SN - 0377-0427

VL - 237

SP - 340

EP - 353

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

Conjugate function method for numerical conformal mappings

Abstract

Keywords

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