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A first order method for the Cauchy problem for the Laplace equation using BEM
Authors:Franck Delvare  Alain Cimetiere
Affiliation:(1) Laboratoire Energétique Explosions Structures, Université d’Orléans and ENSI de Bourges, 88 Boulevard Lahitolle, 18020 Bourges Cedex, France;(2) Boulevard Marie et Pierre CURIE, Téléport 2, LMP, Université de Poitiers, BP 30179, 86962, Futuroscope, Chasseneuil Cedex, France
Abstract:The purpose is to propose an improved method for inverse boundary value problems. This method is presented on a model problem. It introduces a higher order problem. BEM numerical simulations highlight the efficiency, the improved accuracy, the robustness to noisy data of this new approach, as well as its ability to deblur noisy data.
Keywords:Cauchy problem  Inverse problem  Boundary values  Boundary element method  Regularization
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