Skip to main content
SpringerLink
Log in

An Integral Equation Method of Numerical Conformal Mapping onto Parallel, Circular and Radial Slit Domains

  • Chapter
Proceedings of the Second ISAAC Congress

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 7))

  • 469 Accesses

Abstract

We recently proposed a method for numerical conformal mappings of multiply connected open domains onto parallel, circular, and radial slit domains [1, 2]. These three types of standard domains are important in two dimensional potential flow analysis. Our method uses the charge simulation method as the potential problem solver. The charge simulation method offers highly accurate approximation for the smooth, and round boundary conditions, but has some difficulties in application to exterior problems of narrow area and problems with concave corners.

Supported by the Grant-in-Aid for Scientific Research of the Ministry of Education, Science, Sports and Culture in Japan (09440081).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Amano, K.: A charge simulation method for numerical conformal mapping onto circular and radial slit domains, SIAM J. Sci. Comput., Vol. 19, No. 4, pp. 1169–1187 (1998).

    MathSciNet  MATH  Google Scholar 

  2. Amano, K., Okano, D., Shimohira, H. and Sugihara, M.: Numerical conformal mapping onto parallel, circular and radial slit domains, Advances in Numerical Mathematics (Proceedings of the Fourth Japan-China Joint Seminar on Numerical Mathematics, Edited by Kawarada, H., Nakamura, M. and Shi, Z.), Mathematical Sciences and Applications, Vol. 12, pp. 1–10 (1999).

    Google Scholar 

  3. Nehari, Z.: Conformal Mapping, McGraw-Hill, New York (1952); Dover, New York (1975).

    Google Scholar 

  4. Hough, D.M. and Papamichael, N.: The use of splines and singular functions in an integral equation method for conformal mapping, Numer. Math., Vol. 37, pp. 133–147 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  5. Hough, D.M., and Papamichael, N.: An integral equation method for the numerical comformal mapping of interior, exterior and doubly-connected domains, Numer. Math., Vol. 41, pp. 287–307 (1983).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science, Faculty of Engineering, Ehime University, Matsuyama, 790-8577, Japan

    Dai Okano & Kaname Amano

Authors
  1. Dai Okano
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kaname Amano
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Freie Universität, Berlin, Germany

    Heinrich G. W. Begehr

  2. University of Delaware, Newark, Delaware, USA

    Robert P. Gilbert

  3. Kyushu University, Fukuoka, Japan

    Joji Kajiwara

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Kluwer Academic Publishers

About this chapter

Cite this chapter

Okano, D., Amano, K. (2000). An Integral Equation Method of Numerical Conformal Mapping onto Parallel, Circular and Radial Slit Domains. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_44

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0269-8_44

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7970-6

  • Online ISBN: 978-1-4613-0269-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation