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A Bidirectional Method for Numerical Conformal Mapping Based on the Charge Simulation Method
https://ipsj.ixsq.nii.ac.jp/records/59676
https://ipsj.ixsq.nii.ac.jp/records/5967601c2bd88-5465-428c-88e6-41643de1e9c5
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
IPSJ-JIP1404012.pdf (1.2 MB)
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Copyright (c) 1992 by the Information Processing Society of Japan
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| オープンアクセス | ||
| Item type | JInfP(1) | |||||||
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| 公開日 | 1992-03-15 | |||||||
| タイトル | ||||||||
| タイトル | A Bidirectional Method for Numerical Conformal Mapping Based on the Charge Simulation Method | |||||||
| タイトル | ||||||||
| 言語 | en | |||||||
| タイトル | A Bidirectional Method for Numerical Conformal Mapping Based on the Charge Simulation Method | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
| 資源タイプ | journal article | |||||||
| 著者所属 | ||||||||
| Department of Computer Science Faculty of Engineering Ehime University | ||||||||
| 著者所属(英) | ||||||||
| en | ||||||||
| Department of Computer Science, Faculty of Engineering, Ehime University | ||||||||
| 著者名 |
Kaname, Amano
× Kaname, Amano
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| 著者名(英) |
Kaname, Amano
× Kaname, Amano
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| 論文抄録 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | Numerical conformal mapping has been an attractive subject in numerical analysis for several decades and is now at an exciting stage of development. Current methods fall into two groups: one for mapping a given problem domain onto a standard region such as the unit disk and the other for mapping in the reverse direction. No method seems to be feasible in both directions. This paper describes a bidirectional method of numerical conformal mapping between a given Jordan domain and the unit disk. The basic idea is to use the charge simulation method for solving the Dirichlet problem of Laplace's equation in order to reconstruct an approximate inverse mapping function with the boundary correspondence established in advance. In contrast to many other methods it does not require any nonlinear iteration procedure. It also has the following attractive features: simplicity of mathematical formulation and programming high efficiency of computation high accuracy of conputational results and ease of error estimation. These are demonstrated by numerical examples for some typical problem domains. | |||||||
| 論文抄録(英) | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | Numerical conformal mapping has been an attractive subject in numerical analysis for several decades, and is now at an exciting stage of development. Current methods fall into two groups: one for mapping a given problem domain onto a standard region, such as the unit disk, and the other for mapping in the reverse direction. No method seems to be feasible in both directions. This paper describes a bidirectional method of numerical conformal mapping between a given Jordan domain and the unit disk. The basic idea is to use the charge simulation method for solving the Dirichlet problem of Laplace's equation in order to reconstruct an approximate inverse mapping function, with the boundary correspondence established in advance. In contrast to many other methods, it does not require any nonlinear iteration procedure. It also has the following attractive features: simplicity of mathematical formulation and programming, high efficiency of computation, high accuracy of conputational results, and ease of error estimation. These are demonstrated by numerical examples for some typical problem domains. | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00700121 | |||||||
| 書誌情報 |
Journal of Information Processing 巻 14, 号 4, p. 473-482, 発行日 1992-03-15 |
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| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 1882-6652 | |||||||
| 出版者 | ||||||||
| 言語 | ja | |||||||
| 出版者 | 情報処理学会 | |||||||
