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Parameter estimation with model order reduction and global measurements
Authors:Axel Ariaan Lukassen  Martin Kiehl
Institution:AG Numerik und Wissenschaftliches Rechnen, Technische Universität Darmstadt, Darmstadt, Germany
Abstract:We present a new method for parameter estimation for elliptic partial differential equations. Parameter estimation requires the evaluation of the partial differential equation for many different parameter sets. Therefore, model order reduction is reasonable. Model order reduction is composed of an offline phase and an online phase. In the offline phase the reduced model is constructed using snapshots. In this paper we use the given measurement as only snapshot. Hence, the computational costs of the offline phase are reduced. (© 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
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