Abstract
In this work the POD approach to model reduction is used to construct a reduced-order control space for the simple one-dimensional transport equations. Several data assimilation experiments associated with these transport models are performed in the reduced control space. A numerical comparative study with data assimilation experiments in the full model space indicates that with an appropriate selection of the basis functions the optimization in the POD space is able to provide accurate results at a reduced computational cost.
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Dimitriu, G., Apreutesei, N. (2008). Comparative Study with Data Assimilation Experiments Using Proper Orthogonal Decomposition Method. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_44
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DOI: https://doi.org/10.1007/978-3-540-78827-0_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78825-6
Online ISBN: 978-3-540-78827-0
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