P. Gervasio et al., THE SPECTRAL PROJECTION DECOMPOSITION METHOD FOR ELLIPTIC-EQUATIONS IN 2 DIMENSIONS, SIAM journal on numerical analysis, 34(4), 1997, pp. 1616-1639
The projection decomposition method (PDM) is invoiced to extend the ap
plication area of the spectral collocation method to elliptic problems
in domains compounded of rectangles. Theoretical and numerical result
s are presented demonstrating the high accuracy of the resulting metho
d as well as its computational efficiency.