THE EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS IN THE BOUNDARY ELEMENT METHOD - A REVIEW

In this paper several methods of dealing with Cauchy Principal Value integrals in advanced boundary element methods are discussed and compared. An attempt is made to present a comprehensive description of these methods in a unified, systematic manner. It is shown that the methods can be grouped into two basic approaches, the (more classical) indirect approach, such as the rigid-body motion technique in elastostatics, and the (more recent) direct approach, that allows any Cauchy Principal Value integral to be evaluated by standard quadrature formulae.