Algorithm 785: A Software Package for Computing Schwarz-Christoffel Conformal Transformation for Doubly Connected Polygonal Regions

ACM Transactions on Mathematical Software

Volumn 24, Issue 3, 1998, Pages 317-333

  Hu, Chenglie ^a  

^a FORT HAYS STATE UNIVERSITY   (United States)

Author keywords

Accessory parameters; Algorithms; Doubly connected region; Mathematical Software Efficiency; reliability; robustness; Miscellaneous; Numerical conformal mapping; Schwarz Christoffel conformal transformation; System of nonlinear equations

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONFORMAL MAPPING; EFFICIENCY; NONLINEAR EQUATIONS; RELIABILITY; ROBUSTNESS (CONTROL SYSTEMS);

SCHWARZ-CHRISTOFFEL CONFORMAL TRANSFORMATION;

COMPUTER SOFTWARE;

EID: 0032155998     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/292395.291204     Document Type: Article

References (12)

1. DAEPPEN, H. 1988. Die Schwarz-Christoffel-Abbildung für zweifach zusämmenhangende Gebietemit Anwendungen. Ph.D. thesis, ETH, Zurich.
2. DRISCOLL, T. 1996. Algorithm 756: A MATLAB tool box for Schwarz-Christoffel mapping. ACM Trans. Math. Softw. 22, 2, 168-186.
3. ELCRAT, A. AND HU, C. 1996. Determination of surface and interior crack detection from electrostatic measurements using Schwarz-Christoffel transformations. Int. J. Eng. Sci. 34, 10, 1165-1181.
4. ELCRAT, A., HU, C., AND MILLER, K. 1997. Equilibrium configurations of point vortices for channel flows past interior obstacles. Eur. J. Mech. B/Fluids 16, 2, 277-292.
5. HENRICI, P. 1977. Applied and Computational Complex Analysis. Vol. 2. John Wiley, NY.
6. HENRICI, P. 1986. Applied and Computational Complex Analysis. Vol. 3. John Wiley, NY.
7. HU, C. 1995. Application of computational complex analysis to some free boundary and vortex flows. Ph.D. thesis, Wichita State University.
8. MENIKOFF, R. AND ZEMARK, C. 1980. Methods for numerical conformal mapping. J. Comput. Phys. 38, 366-410.
9. SRIDHAR, K. AND DAVIS, R. 1985. A Schwarz-Christoffel method for generating two-dimensional flow grid. J. Fluid Eng. 58, 330-337.
10. TREFETHEN, L. 1989a. Schwarz-Christoffel mapping in the 1980's. Numerical Analysis Rep. 89-1, Department of Mathematics, MIT.
11. TREFETHEN, L. 1989b. SCPACK user's guide. Numerical Analysis Rep. 89-2, Department of Mathematics, MIT.
12. TREFETHEN, L. 1979. Numerical computation of the Schwarz-Christoffel transformation. SIAM J. Sci. Stat. Comput. 1, 1, 82-102.