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.
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Blaheta, R., Hrtus, R., Kohut, R., Jakl, O. (2012). Optimization Methods for Calibration of Heat Conduction Models. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2011. Lecture Notes in Computer Science, vol 7116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29843-1_61
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DOI: https://doi.org/10.1007/978-3-642-29843-1_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-29842-4
Online ISBN: 978-3-642-29843-1
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