Skip to main content

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))

  • 465 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

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Authors

Editor information

Editors and Affiliations

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