A nudging-based data assimilation method: the Back and Forth Nudging (BFN) algorithm D Auroux, J Blum Nonlinear Processes in Geophysics 15 (2), 305-319, 2008 | 156 | 2008 |

Back and forth nudging algorithm for data assimilation problems D Auroux, J Blum Comptes rendus. Mathématique 340 (12), 873-878, 2005 | 129 | 2005 |

Smoothing problems in a Bayesian framework and their linear Gaussian solutions E Cosme, J Verron, P Brasseur, J Blum, D Auroux Monthly Weather Review 140 (2), 683-695, 2012 | 83 | 2012 |

Image restoration and classification by topological asymptotic expansion D Auroux, M Masmoudi, L Belaid Variational formulations in mechanics: theory and applications 2006, 23-42, 2006 | 74 | 2006 |

A one-shot inpainting algorithm based on the topological asymptotic analysis D Auroux, M Masmoudi Computational & Applied Mathematics 25, 251-267, 2006 | 50 | 2006 |

Large multibeam array antennas with reduced number of active chains G Caille, Y Cailloce, C Guiraud, D Auroux, T Touya, M Masmousdi IET Digital Library, 2007 | 49 | 2007 |

The back and forth nudging algorithm for data assimilation problems: theoretical results on transport equations D Auroux, M Nodet ESAIM: Control, Optimisation and Calculus of Variations 18 (2), 318-342, 2012 | 46 | 2012 |

Limited-memory BFGS diagonal preconditioners for a data assimilation problem in meteorology F Veersé, D Auroux, M Fisher Optimization and Engineering 1, 323-339, 2000 | 44 | 2000 |

Image processing by topological asymptotic expansion D Auroux, M Masmoudi Journal of Mathematical Imaging and Vision 33 (2), 122-134, 2009 | 38 | 2009 |

From restoration by topological gradient to medical image segmentation via an asymptotic expansion D Auroux Mathematical and Computer Modelling 49 (11-12), 2191-2205, 2009 | 33 | 2009 |

Diffusive Back and Forth Nudging algorithm for data assimilation D Auroux, J Blum, M Nodet Comptes Rendus Mathematique 349 (15-16), 849-854, 2011 | 25 | 2011 |

Variational data assimilation for discrete Burgers equation. A Apte, D Auroux, M Ramaswamy Electronic Journal of Differential Equations (EJDE)[electronic only] 2010, 15-30, 2010 | 25 | 2010 |

A topological asymptotic analysis for the regularized grey-level image classification problem D Auroux, LJ Belaid, M Masmoudi ESAIM: Mathematical Modelling and Numerical Analysis 41 (3), 607-625, 2007 | 25 | 2007 |

The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D‐VAR D Auroux International journal for numerical methods in fluids 61 (8), 911-929, 2009 | 24 | 2009 |

Image processing by topological asymptotic analysis D Auroux, M Masmoudi ESAIM: Proceedings 26, 24-44, 2009 | 23 | 2009 |

An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons D Auroux, P Bansart, J Blum Inverse Problems in Science and Engineering 21 (3), 399-419, 2013 | 19 | 2013 |

Data assimilation experiments using diffusive back-and-forth nudging for the NEMO ocean model GA Ruggiero, Y Ourmieres, E Cosme, J Blum, D Auroux, J Verron Nonlinear Processes in Geophysics 22 (2), 233-248, 2015 | 18 | 2015 |

Symmetry-based observers for some water-tank problems D Auroux, S Bonnabel IEEE transactions on automatic control 56 (5), 1046-1058, 2010 | 18 | 2010 |

Identification of velocity fields for geophysical fluids from a sequence of images D Auroux, J Fehrenbach Experiments in Fluids 50, 313-328, 2011 | 17 | 2011 |

Contour detection and completion for inpainting and segmentation based on topological gradient and fast marching algorithms D Auroux, LD Cohen, M Masmoudi International Journal of Biomedical Imaging 2011 (1), 592924, 2011 | 16 | 2011 |