This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
F. Bowman, Introduction to Elliptic Functions, English University Press, London, 1953.
N.V. Challis and D.M. Burley, A numerical method for conformal mapping, IMA J. Numer. Anal. 2 (1982), 169–181.
D. Gaier, Konstruktive Methoden der konformen Abbildung, Springer, Berlin, 1964.
D. Gaier, Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden, Numer. Math. 19 (1972) 179–194.
D. Gaier, Determination of conformal modules of ring domains and quadrilaterals, Lecture Notes in Mathematics 399, Springer, New York, 1974, 180–188.
D. Gaier, Capacitance and the conformal module of quadrilaterals, J. Math. Anal. Appl. 70 (1979), 236–239.
D. Gaier, On an area problem in conformal mapping, Results in Mathematics, 10 (1986), 66–81
D. Gaier and N. Papamichael, On the comparison of two numerical methods for conformal mapping, IMA J. Numer. Anal. 7 (1987), 261–282.
P. Henrici, Applied and Computational Complex Analysis, Vol. III, Wiley, New York, 1986.
L.H. Howell and L.N. Trefethen, A modified Schwarz-Christoffel transformation for elongated regions, Numerical Analysis Report 88-5, Dept. of Maths, Massachusetts Institute of Technology, Cambridge, Mass., 1988.
C.D. Mobley and R.J. Stewart, On the numerical generation of boundary-fitted orthogonal curvilinear coordinate systems, J. Comput. Phys. 34 (1980), 124–135.
N. Papamichael, Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems, J. Comput. Appl. Math. 28 (1989) 63–83.
N. Papamichael, C.A. Kokkinos and M.K. Warby, Numerical techniques for conformal mapping onto a rectangle, J. Comput. Appl. Math. 20 (1987), 349–358.
N. Papamichael and N.S. Stylianopoulos, A domain decomposition method for conformal mapping onto a rectangle, Tech. Report TR/04/89, Dept. of Math. and Stat., Brunel University, 1989, (to appear in: Constr. Approx.).
A. Seidl and H. Klose, Numerical conformal mapping of a towel-shaped region onto a rectangle, SIAM J. Sci. Stat. Comput. 6 (1985), 833–842.
L.N. Trefethen, Ed., Numerical Conformal Mapping, North-Holland, Amsterdam, 1986; reprinted from: J. Comput. Appl. Math. 14 (1986).
J.J. Wanstrath, R.E. Whitaker, R.O. Reid, A.C. Vastano, Storm surge simulation in transformed co-ordinates, Tech. Report 76-3, U.S. Coastal Engineering Research Center, Fort Belvoir, Va. 1976.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this chapter
Cite this chapter
Papamichael, N., Stylianopoulos, N.S. (1990). On the numerical performance of a domain decomposition method for conformal mapping. In: Ruscheweyh, S., Saff, E.B., Salinas, L.C., Varga, R.S. (eds) Computational Methods and Function Theory. Lecture Notes in Mathematics, vol 1435. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087905
Download citation
DOI: https://doi.org/10.1007/BFb0087905
Received:
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52768-8
Online ISBN: 978-3-540-47139-4
eBook Packages: Springer Book Archive
