For a smooth boundary, hypersingular integrals can be defined as a limit from the interior,
the approach direction being taken, for convenience, normal to the surface. At a boundary
corner, the limit process, with a necessarily non-normal approach direction, provides a valid
definition of the hypersingular equation, as long as the same direction is employed for all
integrations. The terms which are potentially singular in the limit are shown to cancel,
provided the function approximations at the corner are consistent. The analytical formulas for …