A Systematic Scheme of Numerical Conformal Mappings of Unbounded Multiply-connected Domains by the Charge Simulation Method, the Anniversary Best Paper Award (40th), Information Processing Society of Japan
Winner: Kaname Amano, Dai Okano, Hidenori Ogata, Hiromi Shimohira, and Masaaki Sugihara
Intelligent Information and Database Systems - 9th Asian Conference, ACIIDS 2017, Kanazawa, Japan, April 3-5, 2017, Proceedings, Part I 10191 345-354 2017 [Refereed]
Transactions of the Japan Society for Industrial and Applied Mathematics 24(3) 157-183 Sep 2014
In the conformal mapping of multiply connected domains, the following five canonical slit domains listed by Nehari (1952) are well known: the parallel, circular and radial slit domains, and the circle and circular ring with concentric circular sli...
In this paper, we present a method to compose conformal mapping functions of arbitrary given simply connected domains which are bounded by the smooth boundary curves of finite length onto the unit disk as the standard domain. The Riemann mapping t...
情報処理学会論文誌ジャーナル(Web) 54(9) WEB ONLY 2254-2264-2264 Sep 2013
The transformational group structure theory successfully explains how the different types of cognitive judgments of patterns such as similarity and goodness are performed by the concept of cognitive transformation groups and transformational group...
Theoretical and Applied Mechanics Japan 60 317-332 Jul 2012
Conformal mappings are familiar in science and engineering. Recently, the problem of multiply connected domains has attracted special interest. We here present a unified scheme for numerical conformal mappings of unbounded, multiply connected doma...
Theoretical and Applied Mechanics Japan 60 333-341 Jul 2012
Seamless availability on applying to the problems of various types of simply and multiply connected domains is one of the key features of Amano's method of numerical conformal mappings. We studied the application of the method for a doubly connect...
Kaname Amano, Dai Okano, Hidenori Ogata, Masaaki Sugihara
Japan Journal of Industrial and Applied Mathematics 29(2) 165-186 Jun 2012 [Refereed]
We propose a numerical method for the conformalmapping of unbounded multiply connected domains exterior to closed Jordan curvesC1, . . . ,Cn onto a canonical linear slit domain, which is the entire plane with linear slits S 1, . . . , S n of angle...
数値等角写像は科学技術計算の重要な研究課題である．この論文では非有界な多重連結領域から一般的な正準平行スリット領域と共線スリット領域への数値等角写像の方法を提案し，その有効性を数値実験で検証する．この方法では，代用電荷法に基づいて一対の調和関数を複素対数ポテンシャルの 1 次結合で近似し，表現が簡潔で精度の高い近似写像関数を構成することができる．Numerical conformal mappings are important in scientific computations. In...
様々な正準スリット領域への数値等角写像は科学技術計算において重要である．この論文では，代用電荷法を用いて非有界な多重連結領域から直線スリット領域への数値等角写像の方法を提案し，その有効性を簡単な数値例で示す．この正準領域はポテンシャル流問題で広く知られる平行スリット領域の一般化になっている．Numerical conformal mappings onto canonical slit domains are important in scientific computations. In...
An experiment of similarity judgment of linear binary pattern pairs shows that intra-pattern transformational group structures affect the easiness and the clearness of inter-pattern transformational group structures, which causes the difference of...
The transformational group structure theory predicts ordinal relations of the similarity of pattern pairs by the concept of inter-pattern transformational group structures, which are defined by mutual transformability using cognitive transformatio...
Dai Okano, Masatoshi Terazono, Kaname Amano, Hidenori Ogata
Theoretical and Applied Mechanics Japan 54 357-363 Dec 2005
Usually, on computation of conformal mappings, different methods are used to obtain the mapping functions of two directions between a problem domain and a canonical domain. Amano proposed a method based on the numerical conformal mappings by the c...
The transformational group structure theory explains how different types of cognitive judgments of patterns such as similarity and goodness are performed, and predicts their ordinal relations by the concepts of transformational group structures us...
On computation of conformal mappings, the mapping functions between a given problem domain and its corresponding canonical domains are concerned.Usually, two different methods are used to obtain the mapping functions, which map the problem domain ...
In this paper, we propose a method of conformal mapping w = f (z) of an unbounded multiply-connected domain D subject to the condition f (∞) = ∞, where v is a given finite point in the problem domain. In the method, we reduce the mapping problem t...
Annual journal of engineering, Ehime University 4 129-139 Mar 2004
The transformational group structure theory explains how different types of cognitive judgments of patterns such as similarity and goodness are performed, and predicts their ordinal relations by the concepts of cognitive transformation groups and ...
Dai Okano, Hidenori Ogata, Kaname Amano, Masaaki Sugihara
Journal of Computational and Applied Mathematics 159 109-117 Oct 2003
We present here a simple method of numerical conformal mappings from bounded multiply connected domains onto the bounded canonical slit domains of Nehari, i.e., a disk with concentric circular slits, and an annulus with concentric circular slits. ...
The transformational structure theory explains how different types of cognitive judgment of patterns such as similarity and goodness are performed, and predicts their ordinal relations by the concepts of cognitive tranformations and transformation...
Journal of Computational and Applied Mathematics 152 441-450 Mar 2003
In this paper, we propose a method of numerical conformal mappings from a domain with a curved slit onto the canonical slit domains. Our method is based on Amano's method, which uses the charge simulation method as a rapid solver for potential pro...
Hidenori Ogata, Kaname Amano, Masaaki Sugihara, Dai Okano
Journal of Computational and Applied Mathematics 152 411-425 Mar 2003
We present here a fundamental solution method for two-dimensional viscous flow problems with obstacles in a two-dimensional periodic array. Our problem is mathematically a boundary value problem of the Stokes equations with periodic boundary condi...
Hidenori Ogata, Dai Okano, Masaaki Sugihara, Kaname Amano
Japan Journal of Industrial and Applied Mathematics 20 17-35 Feb 2003
We show that the linear system appearing in the invariant scheme of the charge simulation method is uniquely solvable when the scheme is applied to a two-dimensional Dirichlet problem for a disk, for an ellipse, and for an annulus with properly ch...
We extend the transformational group structure theory on similarity judgments of one dimensional elliptic patterns (linear binary patterns) to that of two-dimensional dot patterns (square binary matrix patterns). Specifically speaking, we define t...
Japan Journal of Industrial and Applied Mathematics 19 257-275 Jun 2002
We propose a method of numerical conformal mapping of periodic structure domains onto periodic parallel slit domains. In the method presented here, the mapping problem is reduced to a Dirichlet one for a pair of conjugate harmonic functions with a...
We present a method of numerical conformal mapping of a bounded multiply-connected domain onto a circular annulus with concentric circular slits. In the method, we reduce the mapping problem to a Dirichlet one for a pair of conjugate harmonic func...
Theoretical and Applied Mechanics Japan 50 303-309 Dec 2001
Recently, we proposed an integrated method for the problem of numerical conformal mappings of the unbounded multiply-connected domains onto the canonical slit domains of Nehari(l952). The problem is important in potential flow analysis. Our method...
The transformational structure theory systematically explains how different types of cognitive judgments of patterns such as similarity and goodness are performed, and predicts their ordinal relations by the concepts of cognitive tranformations an...
The parallel, circular and radial slit domains are the entire planes with parallel rectilinear slits, circular slits concentric to the origin and radial slits pointing at the orgin, respectively. We here present a simple method of numerical confor...
The transformational structure theory systematically explains how different types of cognitive judgments of patterns such as similarity and goodness are performed, and predicts their ordinal relations by the concepts of cognitive tranformations an...
We present a method of numerical conformal mapping of multiply-connected domains with closed boundary Jordan curves onto the unit disk with concentric circular slits. It is a basic problem of conformal mapping of multiply-connected domains. If the...
Theoretical and Applied Mechanics 48 425-429 Dec 1999
The numerical schemes for computing the approximations have been recently proposed for interior and exterior conformal mappings by Inoue (1997). The theoretical base and the mathematical properties of the schemes are studied in this paper. The bas...
Transactions of Information Processing Society of Japan 39(12) 3337-3340 Dec 1998
In this note, we present a method of approximating the real function f(x)analytic on a bounded closed interval by applying the charge simulation method and the Joukowski transformation.
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 60(0) 108-108 2011
Seamless availability on applying to the problems of various types of simply and multiply connected domains is one of the key features of Amano's method of numerical conformal mappings.We studied the application of the method for a doubly connecte...
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 60(0) 106-106 2011
Conformal mappings are familiar in science and engineering. However, exact mapping functions are not known except for a limited class of domains. Therefore, numerical conformal mappings have been studied for a long time. Recently, the problem of m...
NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 53(0) 163-163 2004
We propose a method of numerical conformal mappings of unbounded multiply-connected domains, and apply the method to ploblems of potential flow past obstacles caused by a pair of vortexes or a pair of point source and sink. A typical example shows...
Conformal mappings are familiar in science and engineering. However, exact mapping functions are not known except for a limited class of domains. Therefore, numerical conformal mappings have been studied for a long time. Recently, the problem of m...
Seamless availability on applying to the problems of various types of simply and multiply connected domains is one of the key features of Amano's method of numerical conformal mappings.We studied the application of the method for a doubly connecte...
We propose a method of numerical conformal mappings of unbounded multiply-connected domains, and apply the method to ploblems of potential flow past obstacles caused by a pair of vortexes or a pair of point source and sink. A typical example shows...
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