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Méthodes de régularisation évanescente pour la complétion de données

Abstract : We present evanescent regularization methods that allow to find, among all the solutions of the equilibrium equation, the solution of the data completion problem which fits at best Cauchy or partial fields data. Here we use the method of fundamental solutions as a numerical method for discretizing the space of the equilibrium equation solutions. We are interested initially in solving Cauchy problems associated with the Helmholtz equation. Then, we present the analysis of a three-point bending test. The partial field measurements obtained by digital images correlation are completed and denoised, which highlights the performance of the method.
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  • HAL Id : hal-02571052, version 1

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Laëtitia Caillé, Franck Delvare, Jean-Luc Hanus, N. Michaux-Leblond. Méthodes de régularisation évanescente pour la complétion de données. 24ième Congrès Français de Mécanique, Aug 2019, Brest, France. ⟨hal-02571052⟩

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