A first order method for the Cauchy problem for the Laplace equation using BEM |
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Authors: | Franck Delvare Alain Cimetiere |
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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 |
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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. |
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Keywords: | Cauchy problem Inverse problem Boundary values Boundary element method Regularization |
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