On the computation of the derivatives of potentials on a boundary by using boundary-integral equations

International audienceThis work presents a new recursion scheme to compute the cartesian derivatives of potentials on the smooth surface of a connected solid. The advocated strategy solely appeals to boundary-integral equations and a very few informations regarding the surface geometry. The whole algorithm is carefully tested against analytical solutions both for interior and exterior problems by implementing a collocation points method. © 2006 Elsevier B.V. All rights reserved