TY  - JOUR
AB  - An iterative algorithm is described to compute Schwarz‐Christoffel transformations which map the upper half of a complex plane into the interior of a polygon in another complex plane. An efficient method of numerically integrating the S‐C integral over the singularities is presented. The algorithm is easily programmable in FORTRAN. Convergence rate is high and accuracy is excellent. Examples are provided and wherever possible, analytically obtained results are also presented for comparison. The importance of the algorithm is described and a brief comparison with some of the existing algorithms is made. Potential application of the S‐C transformation are in the solution of Laplace's and Poisson's equation in two‐dimensional domains with polygonal boundary.
VL  - 11
IS  - 2
SN  - 0332-1649
DO  - 10.1108/eb010091
UR  - https://doi.org/10.1108/eb010091
AU  - CHAUDHRY Maqsood A.
AU  - SCHINZINGER Roland
PY  - 1992
Y1  - 1992/01/01
TI  - NUMERICAL COMPUTATION OF THE SCHWARZ‐CHRISTOFFEL TRANSFORMATION PARAMETERS FOR CONFORMAL MAPPING OF ARBITRARILY SHAPED POLYGONS WITH FINITE VERTICES
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - MCB UP Ltd
SP  - 263
EP  - 275
Y2  - 2024/04/19
ER  -