An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons

DOI10.1080/17415977.2012.712528zbMath1281.35093OpenAlexW4300022824WikidataQ56926931 ScholiaQ56926931MaRDI QIDQ2872686

Patrick Bansart, Didier Auroux, Jacques Blum

Publication date: 15 January 2014

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2012.712528

zbMATH Keywords

Burgers equationdata assimilationback and forth nudginginverse diffusion

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Computational methods for problems pertaining to geophysics (86-08) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) PDEs in connection with geophysics (35Q86) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (10)

Detectability and state estimation for linear age-structured population diffusion models ⋮ Data assimilation finite element method for the linearized Navier–Stokes equations in the low Reynolds regime ⋮ Data assimilation for geophysical fluids ⋮ A data assimilation algorithm for the subcritical surface quasi-geostrophic equation ⋮ Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers' equation ⋮ Computing ill-posed time-reversed 2D Navier–Stokes equations, using a stabilized explicit finite difference scheme marching backward in time ⋮ Stabilized leapfrog scheme run backward in time, and the explicit O(Δ t)² stepwise computation of ill-posed time-reversed 2D Navier–Stokes equations ⋮ Data assimilation in 2D viscous Burgers equation using a stabilized explicit finite difference scheme run backward in time ⋮ A coupled soil moisture initialization scheme for the FSU/COAPS climate model ⋮ Data Assimilation for Geophysical Fluids: The Diffusive Back and Forth Nudging

Cites Work

• Diffusive back and forth nudging algorithm for data assimilation
• The Back and Forth Nudging algorithm for data assimilation problems : theoretical results on transport equations
• AN ALTERNATING DESCENT METHOD FOR THE OPTIMAL CONTROL OF THE INVISCID BURGERS EQUATION IN THE PRESENCE OF SHOCKS
• The back and forth nudging algorithm applied to a shallow water model, comparison and hybridization with the 4D-VAR

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