Publication: One-Shot Parameter Optimizatuin in a Box Model of the North Atlantic Thermohaline Circulation
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One-Shot Parameter Optimizatuin in a Box Model of the North Atlantic Thermohaline Circulation

- Technical report -
 

Area
Oceanography

Author(s)
Claudia Kratzenstein , Thomas Slawig

Institution
University of Erlangen-Nuremberg

Year
2008

Abstract
Parameters of a box model of the north Atlantic thermohaline circulation are optimized to fit the model results, i.e. the overturning, to data given by a more detailed climate model of intermediate complexity. Since the model is run into a steady state by a pseudo time-stepping, efficient techniques are necessary to avoid extensive recomputations and/or storing when using adjoint-based gradient representations for local optimization algorithms. The preconditioned one shot approach studied by Hamdi and Griewank that simultaneously updates state, adjoint and parameter values, is applied to this nonlinear climate model. For the required partial derivatives, a software tool of Algorithmic/Automatic Differentiation was used. Numerical results are compared to results obtained by a Quasi- Newton and a gradient method.

AD Tools
ADiMat

BibTeX
@TECHREPORT{
         Kratzenstein2008OSP,
       author = "Claudia Kratzenstein and Thomas Slawig",
       title = "One-Shot Parameter Optimizatuin in a Box Model of the North Atlantic Thermohaline
         Circulation",
       institution = "University of Erlangen-Nuremberg",
       year = "2008",
       type = "Preprint of the DFG Priority Program 1253: Optimization with Partial Differential
         Equations",
       number = "SPP1253--11-03",
       address = "Erlangen",
       abstract = "Parameters of a box model of the north Atlantic thermohaline circulation are
         optimized to fit the model results, i.e. the overturning, to data given by a more detailed climate
         model of intermediate complexity. Since the model is run into a steady state by a pseudo
         time-stepping, efficient techniques are necessary to avoid extensive recomputations and/or storing
         when using adjoint-based gradient representations for local optimization algorithms. The
         preconditioned one shot approach studied by Hamdi and Griewank that simultaneously updates state,
         adjoint and parameter values, is applied to this nonlinear climate model. For the required partial
         derivatives, a software tool of Algorithmic/Automatic Differentiation was used. Numerical results
         are compared to results obtained by a Quasi- Newton and a gradient method.",
       ad_area = "Oceanography",
       ad_tools = "ADiMat"
}


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