TY  - JOUR
AB  - An extension of the Schwarz‐Christoffel transformation is described to formally map polygons which contain curved boundaries. The curved boundaries are divided into small ‘curved elements’ and each element is approximated by a second degree polynomial (higher degree polynomials can also be used). The iterative algorithm of evaluating the unknown constants of the basic S‐C transformation described in a companion paper is applied to the extended S‐C transformation to compute its unknown constants, including the coefficients of the polynomials. Excellent results are achieved as far as accuracy and convergence are concerned. Examples including a practical application, are provided. The mapping of curved polygons is important because they provide a better model of a physical device.
VL  - 11
IS  - 2
SN  - 0332-1649
DO  - 10.1108/eb010092
UR  - https://doi.org/10.1108/eb010092
AU  - CHAUDHRY Maqsood A.
PY  - 1992
Y1  - 1992/01/01
TI  - AN EXTENDED SCHWARZ‐CHRISTOFFEL TRANSFORMATION FOR NUMERICAL MAPPING OF POLYGONS WITH CURVED SEGMENTS
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - MCB UP Ltd
SP  - 277
EP  - 293
Y2  - 2024/04/25
ER  -