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inria-00617571, version 1

Diffusive Back and Forth Nudging algorithm for data assimilation

Didier Auroux 1, Jacques Blum () 1, Maëlle Nodet () a2

Comptes Rendus Mathématique 349, 15-16 (2011) 849-854

Abstract: In this Note, we propose an improvement to the Back and Forth Nudging algorithm for handling diffusion in the context of geophysical data assimilation. We introduce the Diffusive Back and Forth Nudging, in which the sign of the diffusion term is changed in the backward integrations. We study the convergence of this algorithm, in particular for linear transport equations.

  • a –  Université Joseph Fourier - Grenoble I
  • 1:  Laboratoire Jean Alexandre Dieudonné (JAD)
  • CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
  • 2:  MOISE (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)
  • CNRS : UMR5224 – INRIA – Laboratoire Jean Kuntzmann – Université Joseph Fourier - Grenoble I – Institut Polytechnique de Grenoble - Grenoble Institute of Technology
  • Domain : Mathematics/Optimization and Control
 
  • inria-00617571, version 1
  • oai:hal.inria.fr:inria-00617571
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  • Submitted on: Monday, 29 August 2011 15:59:31
  • Updated on: Friday, 1 March 2013 20:43:36