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Regularisation of integral equations

In this section we regularise the hypersingular integral equation using the following formulae
  
$\displaystyle \int_S n_i(\mbox{\boldmath$ x $ }) e_{ijk}\frac{\partial}{\partia...
...mbox{\boldmath$ x $ }) dS = \oint_{\partial S} f_k(\mbox{\boldmath$ x $ }) dx_k$     (L.1)
$\displaystyle \int_S n_i(\mbox{\boldmath$ x $ }) e_{ijk}\frac{\partial}{\partia...
...(\mbox{\boldmath$ x $ }) dS = \oint_{\partial S} g(\mbox{\boldmath$ x $ }) dx_k$     (L.2)

In these formulae the right-hand screw convention is applied to the direction of the integration along $\partial S$.



 

Ken-ichi Yoshida
2001-07-28