This paper concerns the numerical solution of shallow spherical shell problems by the method of boundary-point-least-squares. The analysis forms the basis of a computer program for the calculation of stresses in curved perforated plates. Multiple-pole series solutions are used, and recursion methods for generating the required Bessel-Kelvin functions are discussed. Numerical results are given for previously unsolved problems involving an array of seven circular holes and for an array of four noncircular holes.

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