Abstract: For the numerical solution of the hypersingular integral equation of a notched half-plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods.
On the numerical solution of a hypersingular integral equation with fixed singularities / M. R., Capobianco; Criscuolo, Giuliana; P., Junghanns. - STAMPA. - 187:(2009), pp. 95-116. ( 17th International Workshop on Operator Theory and Applications (IWOTA 2006) Seoul 2006) [10.1007/978-3-7643-8893-5_4].
On the numerical solution of a hypersingular integral equation with fixed singularities
CRISCUOLO, GIULIANA;
2009
Abstract
Abstract: For the numerical solution of the hypersingular integral equation of a notched half-plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation. This derivative is the solution of a Cauchy singular integral equation with additional fixed singularities. We also give a solvability analysis of the original equation which motivates the suggested numerical methods.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
