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

Antoine Sellier 1, * 
Abstract : 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.
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Submitted on : Wednesday, July 16, 2014 - 3:24:25 PM
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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, Elsevier, 2006, 196 (40969), pp.489-501. ⟨10.1016/j.cma.2006.05.003⟩. ⟨hal-01023365⟩

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