https://hal-polytechnique.archives-ouvertes.fr/hal-01023365Sellier, AntoineAntoineSellierLadHyX - Laboratoire d'hydrodynamique - X - École polytechnique - CNRS - Centre National de la Recherche ScientifiqueOn the computation of the derivatives of potentials on a boundary by using boundary-integral equationsHAL CCSD2006[PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph][SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]Roura, Denis2014-07-16 15:24:252023-02-08 17:10:552014-07-16 15:24:25enJournal articles10.1016/j.cma.2006.05.0031This 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.