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

Antoine Sellier (1)

1 LadHyX - Laboratoire d'hydrodynamique

This 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.

Domains: Physics [physics]; Mechanics [physics]; Fluid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Fluids mechanics [physics.class-ph]

Antoine Sellier. On the computation of the derivatives of potentials on a boundary by using boundary-integral equations. Computer Methods in Applied Mechanics and Engineering, 2006, 196 (40969), pp.489-501. ⟨10.1016/j.cma.2006.05.003⟩. ⟨hal-01023365⟩