Model reduction by iterative error system approximation
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The analysis of a posteriori error estimates used in reduced basis methods leads to a model reduction scheme for linear time-invariant systems involving the iterative approximation of the associated error systems. The scheme can be used to improve reduced-order models (ROMs) with initial poor approximation quality at a computational cost proportional to that for computing the original ROM. We also show that the iterative approximation scheme is applicable to parametric systems and demonstrate its performance using illustrative examples.
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Antoulas, A.C., Benner, Peter and Feng, Lihong. "Model reduction by iterative error system approximation." Mathematical and Computer Modelling of Dynamical Systems, 24, no. 2 (2018) Taylor & Francis: 103-118. https://doi.org/10.1080/13873954.2018.1427116.