Optimization methods for calibration of heat conduction models

Authors:
Radim Blaheta;Rostislav Hrtus;Roman Kohut;Ondřej Jakl
Affiliations:
Institute of Geonics of the Academy of Sciences of the Czech Republic, Ostrava, Czech Republic;Institute of Geonics of the Academy of Sciences of the Czech Republic, Ostrava, Czech Republic;Institute of Geonics of the Academy of Sciences of the Czech Republic, Ostrava, Czech Republic;Institute of Geonics of the Academy of Sciences of the Czech Republic, Ostrava, Czech Republic
Venue:
LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing
Year:
2011

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Abstract

The paper provides a summary of techniques, which are suitable for calibration of models like both stationary and nonstationary heat conduction. We assume that the PDE based models are discretized by finite elements and PDE coefficients are piecewise constant on apriori given macroelements (subdomains). A special attention is given to Gauss-Newton methods, evaluation of the derivatives and application of these methods to a heat evolution problem, which arose in geoengineering.