Application of regularization technique to variational adjoint method: A case for nonlinear convection-diffusion problem

DOI10.1016/j.amc.2011.10.028zbMath1244.65133OpenAlexW2037720253MaRDI QIDQ427010

Su-Lin Tao, Yue-Peng Wang

Publication date: 13 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.028

zbMATH Keywords

inverse problemfinite difference methodnumerical experimentsnonlinear convection-diffusion equationdata assimilationregularization termvariational adjoint method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Uses Software

• EnKF
• TAF

Cites Work

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• On the limited memory BFGS method for large scale optimization
• An analysis of 4D variational data assimilation and its application
• Four-dimensional variational data assimilation for Doppler radar wind data
• Parameter estimation with the augmented Lagrangian method for a parabolic equation
• Recipes for adjoint code construction
• Numerical identifications of parameters in parabolic systems
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction

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