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Chapitre D'ouvrage Année : 2016

Variational methods

Résumé

This contribution presents derivative-based methods for local sensitivity analysis, called Variational Sensitivity Analysis (VSA). If one defines an output called the response function, its sensitivity to inputs variations around a nominal value can be studied using derivative (gradient) information. The main issue of VSA is then to provide an efficient way of computing gradients. This contribution first presents the theoretical grounds of VSA: framework and problem statement, tangent and adjoint methods. Then it covers pratical means to compute derivatives, from naive to more sophisticated approaches, discussing their various 2 merits. Finally, applications of VSA are reviewed and some examples are presented, covering various applications fields: oceanography, glaciology, meteorology.
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Dates et versions

hal-01251720 , version 1 (06-01-2016)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

Identifiants

Citer

Maelle Nodet, Arthur Vidard. Variational methods. Handbook of Uncertainty Quantification, Springer International Publishing, pp.1-20, 2016, 978-3-319-11259-6. ⟨10.1007/978-3-319-11259-6_32-1⟩. ⟨hal-01251720⟩
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