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.
THE EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS IN THE BOUNDARY ELEMENT METHOD - A REVIEW
GUIGGIANI, MASSIMO
1991-01-01
Abstract
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.File in questo prodotto:
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